1. The website www.schoolDD.com provides information about electricity and circuits. It explains basic concepts like current, voltage, conductors and insulators.
2. Circuits are explained, along with series and parallel circuits. Key characteristics of each circuit type are defined.
3. Electric fields are also covered, defining concepts such as point charges and the Coulomb force law to calculate electric force. Examples of calculations are provided.
1. Electric fields are produced by electric charges and can be calculated using Coulomb's law. Positive charges produce outward electric fields while negative charges produce inward electric fields.
2. The electric field strength is directly proportional to the magnitude of the charge producing the field and inversely proportional to the distance from that charge.
3. Electric potential difference is equal to the work done moving a test charge between two points in an electric field, and is calculated by multiplying the charge by the potential.
The document provides tips and information about radioactive decay and half-life calculations in 3 sections. It defines key concepts like activity, half-life, and decay equations. Examples are given for common radioisotopes like Co-60 and I-131. Steps are outlined for calculations involving initial activity, remaining activity, and decay over time. Nuclear reactions and mass-energy equivalents are also briefly discussed.
The document summarizes concepts related to forces and motion. It defines key terms like work, kinetic energy, and potential energy. It provides formulas for calculating work, kinetic energy, and gravitational potential energy. Examples are given to demonstrate applying the concepts and formulas to solve physics problems involving changes in kinetic and potential energy.
SchoolDD.com provides concise explanations of trigonometric concepts like sine, cosine, and tangent functions. It explains how to use trigonometric functions to solve problems involving right triangles, with examples calculating values for angles like 30°, 60°, 37°, and 53° degrees. The site also summarizes trigonometric identity formulas and relationships between sine, cosine, and tangent for various angles.
1) The document discusses how ideas spread and evolve over time through three life cycles or "P cycles".
2) It analyzes how ideas progress from novelty to acceptance using the concepts of "Pioneer, Practitioner, and Parent" as defined by Davenport and Prusak.
3) Key factors that influence the life cycles of ideas include communication, activities, experiences, culture and learning within an organization.
1. The document discusses projectile motion and provides equations to calculate the time, height, horizontal displacement, and velocity of a projectile over time given the initial velocity and angle of launch.
2. Formulas are derived for calculating time, maximum height, and horizontal displacement of a projectile based on the initial velocity components along x and y axes.
3. Examples are provided to demonstrate how to apply the equations to different launch angles like 45 degrees, 60 degrees, and 30 degrees.
This document discusses electric current and concepts related to electricity. It contains the following key points:
1. Electric current is the flow of electric charge in a conductor. The direction of the flow is from higher electric potential to lower electric potential.
2. The factors that affect the magnitude of electric current include the amount of charge passing through a point in the conductor per unit time, and the resistance of the conductor.
3. Kirchhoff's laws relate the current and potential difference in different parts of an electric circuit.
The solar system formed from a cloud of gas and dust approximately 4.6 billion years ago. As the cloud collapsed due to gravity, it began to spin and form a disk. Most of the material ended up in the center to form the sun, while the rest flattened into a protoplanetary disk that later condensed into planets, moons, and other objects like asteroids and comets. Over time, gravitational interactions between the objects led them to take on orbits within separate regions like the inner and outer planets, asteroid and Kuiper belts, and scattered disk.
1. Electric fields are produced by electric charges and can be calculated using Coulomb's law. Positive charges produce outward electric fields while negative charges produce inward electric fields.
2. The electric field strength is directly proportional to the magnitude of the charge producing the field and inversely proportional to the distance from that charge.
3. Electric potential difference is equal to the work done moving a test charge between two points in an electric field, and is calculated by multiplying the charge by the potential.
The document provides tips and information about radioactive decay and half-life calculations in 3 sections. It defines key concepts like activity, half-life, and decay equations. Examples are given for common radioisotopes like Co-60 and I-131. Steps are outlined for calculations involving initial activity, remaining activity, and decay over time. Nuclear reactions and mass-energy equivalents are also briefly discussed.
The document summarizes concepts related to forces and motion. It defines key terms like work, kinetic energy, and potential energy. It provides formulas for calculating work, kinetic energy, and gravitational potential energy. Examples are given to demonstrate applying the concepts and formulas to solve physics problems involving changes in kinetic and potential energy.
SchoolDD.com provides concise explanations of trigonometric concepts like sine, cosine, and tangent functions. It explains how to use trigonometric functions to solve problems involving right triangles, with examples calculating values for angles like 30°, 60°, 37°, and 53° degrees. The site also summarizes trigonometric identity formulas and relationships between sine, cosine, and tangent for various angles.
1) The document discusses how ideas spread and evolve over time through three life cycles or "P cycles".
2) It analyzes how ideas progress from novelty to acceptance using the concepts of "Pioneer, Practitioner, and Parent" as defined by Davenport and Prusak.
3) Key factors that influence the life cycles of ideas include communication, activities, experiences, culture and learning within an organization.
1. The document discusses projectile motion and provides equations to calculate the time, height, horizontal displacement, and velocity of a projectile over time given the initial velocity and angle of launch.
2. Formulas are derived for calculating time, maximum height, and horizontal displacement of a projectile based on the initial velocity components along x and y axes.
3. Examples are provided to demonstrate how to apply the equations to different launch angles like 45 degrees, 60 degrees, and 30 degrees.
This document discusses electric current and concepts related to electricity. It contains the following key points:
1. Electric current is the flow of electric charge in a conductor. The direction of the flow is from higher electric potential to lower electric potential.
2. The factors that affect the magnitude of electric current include the amount of charge passing through a point in the conductor per unit time, and the resistance of the conductor.
3. Kirchhoff's laws relate the current and potential difference in different parts of an electric circuit.
The solar system formed from a cloud of gas and dust approximately 4.6 billion years ago. As the cloud collapsed due to gravity, it began to spin and form a disk. Most of the material ended up in the center to form the sun, while the rest flattened into a protoplanetary disk that later condensed into planets, moons, and other objects like asteroids and comets. Over time, gravitational interactions between the objects led them to take on orbits within separate regions like the inner and outer planets, asteroid and Kuiper belts, and scattered disk.
1. The document discusses weeding and withdrawing materials from a library collection. It describes several factors to consider when deciding what to remove, such as outdated content, unused items, and materials in poor physical condition.
2. Guidelines are provided for how to evaluate items for withdrawal, such as checking circulation records and considering the accuracy and authority of the content. A multi-step weeding process is outlined that involves reviewing sections of the collection.
3. Reasons for regularly weeding a library collection include making room for new materials, shifting collections to better suit user needs, and removing outdated information.
1. The document discusses the principles of refraction of light through spherical lenses and thin lenses. It defines terms such as focal length, focal point, radius of curvature, and refractive index.
2. Formulas are provided relating refractive index, angles of incidence and refraction, and focal lengths for different lens materials.
3. Worked examples apply the formulas to calculate focal lengths, refractive indices, angles of refraction and incidence, and image distances for various lens configurations and materials.
This 3 sentence summary provides the key details from the document:
The document outlines a plan to provide IT retraining for unemployed persons between June 1st-17th 2022, with goals of teaching basic IT skills and knowledge through hands-on learning activities. The plan includes training 60 people in groups of 20 over 5 days, from 9am-5pm daily, on topics such as operating systems, software applications and the basics of cybersecurity. The training will take place at the Most Science and Technology Discovery Centre and aims to help trainees enhance their job opportunities.
This document discusses various topics relating to electromagnetic waves and radio communication technologies:
1. It describes the properties and characteristics of electromagnetic waves, including wavelength, frequency, and speed.
2. It explains different modulation techniques used in radio such as amplitude modulation (AM) and frequency modulation (FM). AM varies the amplitude of the carrier wave while FM varies the frequency.
3. It provides an overview of the electromagnetic spectrum, showing the range of wavelengths and frequencies used for communications technologies like radio and television broadcasting.
1. The document discusses the history and development of the Internet in Thailand.
2. It describes how the Internet was first introduced in Thailand in the late 1980s through various universities and research organizations.
3. The document then outlines some of the key events and milestones that contributed to the growth of the Internet in Thailand over subsequent decades, including the establishment of the THAInet in 1993 and the domain name system.
1) A document from 2552 discusses healthcare spending trends from 2547-2552, noting a rise in costs per hospital admission from $2532 in 2547 to over $9000 by 2552 due to factors like longer hospital stays and new medical technologies.
2) The average length of hospital stays decreased from 14 days in 2547 to just over 7 days in 2552, but costs per stay increased dramatically.
3) Spending is increasingly dominated by a small group of high-cost patients that account for a large share of total costs.
Nittaya Tongdeeying is a 40-year-old woman providing her contact information including her name, surname, age, and email address. She has worked at Sahavicha Media Company for over 10 years, where her roles have included editor, reporter, and manager of the company's website. She is seeking new career opportunities where she can continue working as a writer and editor and apply her skills and experience.
This document contains summaries of several articles from Volume 4 Issue 60 of a publication dated April 6-12, 2011:
1) An article discusses family poultry farming and issues facing small holders from April 25-27, 2011. It mentions support from the FAO and development of a prototype.
2) A training event was held on April 30, 2011 from 09:00-16:30 covering topic "SSpec 105." There were 5 participants.
3) Upcoming training events organized by NBT are announced from July 7-28, 2011 on various topics with 4-7 participants expected each time.
1) Various economic indicators for the period 2550-2554 are presented, including GDP, inflation rate, and unemployment rate.
2) Government revenue and spending are discussed, with an emphasis on increased infrastructure investment.
3) Natural gas production and consumption are addressed, along with associated environmental issues.
1) The document summarizes a study on family businesses in Thailand. It analyzed 129 family businesses in 2545-2546 and 165 businesses in 2550 using quantitative and qualitative methods.
2) A family business model is proposed that examines the interactions between the family, ownership, and business axes over time. It identifies four common types of Thai family businesses.
3) Key success factors for family businesses are discussed, including corporate vision, high performance, team building, managerial skills, innovation, and personal attributes of family members.
The document discusses various linguistic concepts including sounds, words, sentences, and meanings. It notes that languages are complex systems of organization and communication made up of different elements at different levels.
This document provides a concise summary of key scientific concepts and formulas in fewer than 3 sentences. It begins by defining common scientific units used to measure length, mass, time, electric current, temperature, amount of substance, and luminous intensity. It then explains the International System of Prefixes used to modify unit symbols and provides examples of their use. The document proceeds to demonstrate the application of scientific concepts and formulas to solve problems involving length, area, volume, speed, time period, percentage error, and other topics. Diagrams are included to illustrate geometric and trigonometric relationships. Key formulas from algebra, trigonometry, logarithms, and other areas are also summarized concisely.
Microsoft word แบบฝึกอ่านนิทานเรื่องธาตุก่องข้าวน้อยนิตยา ทองดียิ่ง
1. The document describes the SQ3R method for effective reading comprehension.
2. The SQ3R method involves 5 steps: Survey, Question, Read, Recite, and Review.
3. Examples are provided for how to apply each step of the SQ3R method when reading a text passage.
Facebook is expanding its Twitter-like feature of expanded tweets to include additional media partners. The expanded tweets allow tweets from certain media partners to include photos, videos and other multimedia content without leaving the Facebook platform. Some of the new media partners include The San Francisco Chronicle, Der Spiegel Online, Buzzfeed, TMZ, Lifetime, YouTube, Instagram, Photobucket and others. The expanded tweets will also include hashtags to help users find related content. Facebook is also testing a new feature called Facebook Exchange that allows third-party companies to retarget Facebook users with ads based on their off-Facebook browsing histories through the use of cookies.
The document summarizes key concepts about electricity and electrical circuits. It discusses:
1) Direct current (DC) and alternating current (AC), explaining the difference between constant and varying current over time.
2) Transformers, describing how they work by electromagnetic induction to change voltage and current levels while transmitting power.
3) Circuit parameters like voltage, current, resistance and power in AC circuits. Formulas are given relating peak, RMS and average values.
4) Waveforms of voltage, current and power over time in an AC circuit, showing their sinusoidal variation and phase relationship.
In 3 sentences or less, the document provides an overview of basic electrical concepts like different current types, transformer
The document describes diffraction gratings and the diffraction of light. It contains the following key points:
1) Light passing through a diffraction grating will diffract into discrete angles based on the grating's spacing and the wavelength of light. The diffraction angles follow specific mathematical relationships.
2) Examples are provided to demonstrate calculating diffraction angles and wavelengths using these relationships for different grating spacings and wavelengths of incident light.
3) Different cases are examined for transmission and reflection gratings, and the equations for calculating diffraction angles and wavelengths are given for each case.
1. The document provides examples of solving physics problems involving momentum and impulse using equations such as the momentum equation (∑p=∑p), the impulse-momentum theorem (Δp=FΔt), and kinematic equations.
2. Various problems are worked through step-by-step involving calculating momentum, impulse, force, velocity, and time in collisions or situations with applied forces.
3. The last examples involve solving for velocities in situations with two objects colliding or interacting, using the principle of conservation of momentum (∑p=∑p).
1. The document discusses the physics of sound waves, including speed of sound, frequency, wavelength, and how these properties relate through equations.
2. Examples are provided to demonstrate calculating speed, frequency, and wavelength in different scenarios, as well as how observed properties change based on the motion of the source and observer.
3. Key concepts covered include the relationship between speed, frequency, and wavelength, and how the Doppler effect changes the observed frequency based on relative motion between source and observer.
This document discusses various topics relating to electromagnetic waves and radio communication technologies:
1. It describes the properties and characteristics of electromagnetic waves, including wavelength, frequency, and speed.
2. It explains different modulation techniques used in radio transmission, including amplitude modulation (AM) and frequency modulation (FM).
3. It provides an overview of the electromagnetic spectrum, showing the range of wavelengths and frequencies used for radio communication technologies.
1. This document provides information on mechanics, including forces, moments, equilibrium conditions, stress, strain, and Young's modulus. It includes 13 examples applying these concepts to solve mechanics problems.
2. Key concepts covered include Newton's laws of motion, torque, conditions for translational and rotational equilibrium, definitions of stress and strain, and the relationship between stress, strain, and Young's modulus.
3. Formulas and step-by-step solutions are provided for problems involving forces, torques, stress, strain, and material properties.
This document discusses electric current and concepts related to electricity. It contains the following key points:
1. Electric current is the flow of electric charge in a conductor. The direction of the flow is from higher electric potential to lower electric potential.
2. The factors that affect the magnitude of electric current include the amount of charge passing through a point in the conductor per unit time, and the resistance of the conductor.
3. Kirchhoff's laws relate the current and voltage in different parts of an electrical circuit. Ohm's law defines the relationship between current, voltage, and resistance for a particular circuit.
This document discusses concepts related to forces and motion, including Newton's laws of motion. It defines key terms like force, mass, weight, friction. Examples are provided to demonstrate calculating unknown values like acceleration, force, coefficient of friction using the equations of motion. Diagrams and step-by-step working are included to illustrate problem solving. Concepts covered include calculating net force, resolving forces into components, and determining static and kinetic friction forces.
1. The document discusses weeding and withdrawing materials from a library collection. It describes several factors to consider when deciding what to remove, such as outdated content, unused items, and materials in poor physical condition.
2. Guidelines are provided for how to evaluate items for withdrawal, such as checking circulation records and considering the accuracy and authority of the content. A multi-step weeding process is outlined that involves reviewing sections of the collection.
3. Reasons for regularly weeding a library collection include making room for new materials, shifting collections to better suit user needs, and removing outdated information.
1. The document discusses the principles of refraction of light through spherical lenses and thin lenses. It defines terms such as focal length, focal point, radius of curvature, and refractive index.
2. Formulas are provided relating refractive index, angles of incidence and refraction, and focal lengths for different lens materials.
3. Worked examples apply the formulas to calculate focal lengths, refractive indices, angles of refraction and incidence, and image distances for various lens configurations and materials.
This 3 sentence summary provides the key details from the document:
The document outlines a plan to provide IT retraining for unemployed persons between June 1st-17th 2022, with goals of teaching basic IT skills and knowledge through hands-on learning activities. The plan includes training 60 people in groups of 20 over 5 days, from 9am-5pm daily, on topics such as operating systems, software applications and the basics of cybersecurity. The training will take place at the Most Science and Technology Discovery Centre and aims to help trainees enhance their job opportunities.
This document discusses various topics relating to electromagnetic waves and radio communication technologies:
1. It describes the properties and characteristics of electromagnetic waves, including wavelength, frequency, and speed.
2. It explains different modulation techniques used in radio such as amplitude modulation (AM) and frequency modulation (FM). AM varies the amplitude of the carrier wave while FM varies the frequency.
3. It provides an overview of the electromagnetic spectrum, showing the range of wavelengths and frequencies used for communications technologies like radio and television broadcasting.
1. The document discusses the history and development of the Internet in Thailand.
2. It describes how the Internet was first introduced in Thailand in the late 1980s through various universities and research organizations.
3. The document then outlines some of the key events and milestones that contributed to the growth of the Internet in Thailand over subsequent decades, including the establishment of the THAInet in 1993 and the domain name system.
1) A document from 2552 discusses healthcare spending trends from 2547-2552, noting a rise in costs per hospital admission from $2532 in 2547 to over $9000 by 2552 due to factors like longer hospital stays and new medical technologies.
2) The average length of hospital stays decreased from 14 days in 2547 to just over 7 days in 2552, but costs per stay increased dramatically.
3) Spending is increasingly dominated by a small group of high-cost patients that account for a large share of total costs.
Nittaya Tongdeeying is a 40-year-old woman providing her contact information including her name, surname, age, and email address. She has worked at Sahavicha Media Company for over 10 years, where her roles have included editor, reporter, and manager of the company's website. She is seeking new career opportunities where she can continue working as a writer and editor and apply her skills and experience.
This document contains summaries of several articles from Volume 4 Issue 60 of a publication dated April 6-12, 2011:
1) An article discusses family poultry farming and issues facing small holders from April 25-27, 2011. It mentions support from the FAO and development of a prototype.
2) A training event was held on April 30, 2011 from 09:00-16:30 covering topic "SSpec 105." There were 5 participants.
3) Upcoming training events organized by NBT are announced from July 7-28, 2011 on various topics with 4-7 participants expected each time.
1) Various economic indicators for the period 2550-2554 are presented, including GDP, inflation rate, and unemployment rate.
2) Government revenue and spending are discussed, with an emphasis on increased infrastructure investment.
3) Natural gas production and consumption are addressed, along with associated environmental issues.
1) The document summarizes a study on family businesses in Thailand. It analyzed 129 family businesses in 2545-2546 and 165 businesses in 2550 using quantitative and qualitative methods.
2) A family business model is proposed that examines the interactions between the family, ownership, and business axes over time. It identifies four common types of Thai family businesses.
3) Key success factors for family businesses are discussed, including corporate vision, high performance, team building, managerial skills, innovation, and personal attributes of family members.
The document discusses various linguistic concepts including sounds, words, sentences, and meanings. It notes that languages are complex systems of organization and communication made up of different elements at different levels.
This document provides a concise summary of key scientific concepts and formulas in fewer than 3 sentences. It begins by defining common scientific units used to measure length, mass, time, electric current, temperature, amount of substance, and luminous intensity. It then explains the International System of Prefixes used to modify unit symbols and provides examples of their use. The document proceeds to demonstrate the application of scientific concepts and formulas to solve problems involving length, area, volume, speed, time period, percentage error, and other topics. Diagrams are included to illustrate geometric and trigonometric relationships. Key formulas from algebra, trigonometry, logarithms, and other areas are also summarized concisely.
Microsoft word แบบฝึกอ่านนิทานเรื่องธาตุก่องข้าวน้อยนิตยา ทองดียิ่ง
1. The document describes the SQ3R method for effective reading comprehension.
2. The SQ3R method involves 5 steps: Survey, Question, Read, Recite, and Review.
3. Examples are provided for how to apply each step of the SQ3R method when reading a text passage.
Facebook is expanding its Twitter-like feature of expanded tweets to include additional media partners. The expanded tweets allow tweets from certain media partners to include photos, videos and other multimedia content without leaving the Facebook platform. Some of the new media partners include The San Francisco Chronicle, Der Spiegel Online, Buzzfeed, TMZ, Lifetime, YouTube, Instagram, Photobucket and others. The expanded tweets will also include hashtags to help users find related content. Facebook is also testing a new feature called Facebook Exchange that allows third-party companies to retarget Facebook users with ads based on their off-Facebook browsing histories through the use of cookies.
The document summarizes key concepts about electricity and electrical circuits. It discusses:
1) Direct current (DC) and alternating current (AC), explaining the difference between constant and varying current over time.
2) Transformers, describing how they work by electromagnetic induction to change voltage and current levels while transmitting power.
3) Circuit parameters like voltage, current, resistance and power in AC circuits. Formulas are given relating peak, RMS and average values.
4) Waveforms of voltage, current and power over time in an AC circuit, showing their sinusoidal variation and phase relationship.
In 3 sentences or less, the document provides an overview of basic electrical concepts like different current types, transformer
The document describes diffraction gratings and the diffraction of light. It contains the following key points:
1) Light passing through a diffraction grating will diffract into discrete angles based on the grating's spacing and the wavelength of light. The diffraction angles follow specific mathematical relationships.
2) Examples are provided to demonstrate calculating diffraction angles and wavelengths using these relationships for different grating spacings and wavelengths of incident light.
3) Different cases are examined for transmission and reflection gratings, and the equations for calculating diffraction angles and wavelengths are given for each case.
1. The document provides examples of solving physics problems involving momentum and impulse using equations such as the momentum equation (∑p=∑p), the impulse-momentum theorem (Δp=FΔt), and kinematic equations.
2. Various problems are worked through step-by-step involving calculating momentum, impulse, force, velocity, and time in collisions or situations with applied forces.
3. The last examples involve solving for velocities in situations with two objects colliding or interacting, using the principle of conservation of momentum (∑p=∑p).
1. The document discusses the physics of sound waves, including speed of sound, frequency, wavelength, and how these properties relate through equations.
2. Examples are provided to demonstrate calculating speed, frequency, and wavelength in different scenarios, as well as how observed properties change based on the motion of the source and observer.
3. Key concepts covered include the relationship between speed, frequency, and wavelength, and how the Doppler effect changes the observed frequency based on relative motion between source and observer.
This document discusses various topics relating to electromagnetic waves and radio communication technologies:
1. It describes the properties and characteristics of electromagnetic waves, including wavelength, frequency, and speed.
2. It explains different modulation techniques used in radio transmission, including amplitude modulation (AM) and frequency modulation (FM).
3. It provides an overview of the electromagnetic spectrum, showing the range of wavelengths and frequencies used for radio communication technologies.
1. This document provides information on mechanics, including forces, moments, equilibrium conditions, stress, strain, and Young's modulus. It includes 13 examples applying these concepts to solve mechanics problems.
2. Key concepts covered include Newton's laws of motion, torque, conditions for translational and rotational equilibrium, definitions of stress and strain, and the relationship between stress, strain, and Young's modulus.
3. Formulas and step-by-step solutions are provided for problems involving forces, torques, stress, strain, and material properties.
This document discusses electric current and concepts related to electricity. It contains the following key points:
1. Electric current is the flow of electric charge in a conductor. The direction of the flow is from higher electric potential to lower electric potential.
2. The factors that affect the magnitude of electric current include the amount of charge passing through a point in the conductor per unit time, and the resistance of the conductor.
3. Kirchhoff's laws relate the current and voltage in different parts of an electrical circuit. Ohm's law defines the relationship between current, voltage, and resistance for a particular circuit.
This document discusses concepts related to forces and motion, including Newton's laws of motion. It defines key terms like force, mass, weight, friction. Examples are provided to demonstrate calculating unknown values like acceleration, force, coefficient of friction using the equations of motion. Diagrams and step-by-step working are included to illustrate problem solving. Concepts covered include calculating net force, resolving forces into components, and determining static and kinetic friction forces.
This document provides information about fluid statics and fluid dynamics. It defines density, calculates the density of a spherical object, and derives equations for pressure due to depth in a fluid. Examples are given for calculating pressure, force, and height in various fluid static scenarios. Fluid flow concepts such as viscosity, shear stress, and drag force are also introduced. An example problem calculates the drag force on a sphere moving through a fluid.
1. The document discusses concepts related to optics such as reflection, refraction, and lenses. It defines terms like focal length and radius and shows equations relating these concepts.
2. Diagrams and equations are provided to demonstrate the relationships between an object's position, image position, and lens or mirror curvature during reflection and refraction. Reflection and refraction rules are explained.
3. Lensmaker's equation and other formulas are given to calculate focal length based on the radius of the lens and the refractive indices of the lens and surrounding media. The behavior of light rays through spherical lenses is analyzed.
1. The document discusses standing waves on a string fixed at both ends.
2. The locations of antinodes (An) and nodes (Nn) are determined by the path difference formula, where the path difference must be equal to integer or half-integer wavelengths.
3. Several examples are given of calculating the specific antinode or node locations based on given string lengths (s1 and s2) from one end.
1) A student analyzed various physical situations involving forces and calculated work. This included forces acting at angles, forces balanced by friction, and free body diagrams.
2) Key calculations determined work as the product of force and distance (W=Fs), resolving forces into components, and using kinematic equations.
3) The student correctly calculated the work values for different example problems involving multiple forces, inclines, and friction.
This document discusses concepts related to the gas laws including:
1. Definitions of key terms like pressure, volume, temperature, moles, and the gas constant R.
2. Equations relating these variables like the ideal gas law PV=nRT and how pressure, volume, and temperature are directly proportional while temperature and moles are directly proportional.
3. Explanations of how the gas laws can be used to calculate heat, work, internal energy, and other thermodynamic properties of gases.
The document discusses concepts related to kinematics including displacement (s), velocity (v), acceleration (a), and time (t). Various kinematics equations are presented and worked examples are provided to calculate values like average velocity (vav) and average acceleration (aav) given information about displacement, initial/final velocities, and time. Graphs are also used to represent relationships between variables and derive slope and equations of lines.
1. The document defines angular displacement (θ), angular velocity (ω), and angular acceleration (α) and provides equations relating them.
2. Equations of motion are given for linear and angular variables including relationships between displacement (s), velocity (v), acceleration (a), angular displacement (θ), angular velocity (ω), and angular acceleration (α).
3. Formulas are provided for torque (τ), moment of inertia (I), and kinetic energy (Ek) in rotational motion. Sample problems are worked through applying these concepts and equations.
1. The document discusses projectile motion equations and concepts such as displacement, velocity, acceleration due to gravity, and time of flight. Equations for displacement, velocity, and time of flight are presented.
2. Examples are given of calculating time of flight, maximum displacement, velocity, and angle of projection for various projectile motion scenarios involving different initial velocities and angles.
3. Centripetal force is introduced and explained in terms of force, mass, velocity, radius, period, frequency, and angular velocity. Equations relating these quantities are provided.
1) The document discusses concepts related to electricity including direct current (DC), alternating current (AC), transformers, and power calculations.
2) It explains Faraday's law of induction and how changing magnetic fields can induce electromotive forces and currents.
3) Formulas are provided for calculating power in DC circuits, current and voltage ratios in transformers, and the relationships between current, voltage, and power in AC circuits.
The document provides tips and information about radioactive decay and half-life calculations in 3 sections. It defines key concepts like activity, half-life, and decay equations. Examples are given for common radioactive isotopes like Co-60 and I-131. Steps are outlined for calculations involving initial activity, remaining activity, and decay over time. Nuclear reactions and mass-energy equivalence are also briefly discussed.
The document is about basic physics concepts related to kinetic energy. It contains three main points:
1) It defines kinetic energy (EK) as the energy an object possesses due to its motion, and explains that kinetic energy can be calculated as EK = 1/2 mv^2, where m is the object's mass and v is its velocity.
2) It discusses the relationship between an object's maximum kinetic energy (EKmax) and its maximum velocity (vmax), explaining that EKmax occurs when an object's velocity is at its highest point (vmax).
3) It provides an example calculation of converting between units of kinetic energy, showing how to convert from joules to electron
1. The document discusses simple harmonic motion (SHM) and wave motion. It provides equations and graphs relating to SHM and defines terms like amplitude, wavelength, frequency, and period.
2. Examples are given to demonstrate how to use the wave equation to calculate velocity, frequency, and wavelength given other variable values.
3. Reflection of waves is described and examples show how to use trigonometry to relate angles of incidence and reflection to wavelength and velocity of waves.
1. Photosynthesis is the process by which plants, algae, and some bacteria use sunlight, carbon dioxide, and water to produce oxygen and energy in the form of glucose.
2. The general equation for photosynthesis is: carbon dioxide + water + energy (sunlight) → glucose + oxygen.
3. Environmental factors like temperature, light intensity, and carbon dioxide levels can affect the rate of photosynthesis, with optimal conditions usually between 14-18°C, 30-40% relative humidity, and 12-16 hours of sunlight per day.
This document provides information about the International System of Units (SI) including:
1. It lists the 7 base units used in the SI system: meter (m), kilogram (kg), second (s), ampere (A), kelvin (K), mole (mol), and candela (cd).
2. It explains the prefixes that are used with units to indicate decimal multiples or submultiples, such as kilo (k) for 1000 and milli (m) for 0.001.
3. It provides examples of converting between units using prefixes, such as converting 4,700,000,000 meters to megameters (Mm) or 0.0004 meters to mill
1. The document provides definitions and formulas for key kinematic concepts including displacement, velocity, average velocity, and acceleration.
2. Examples are given to demonstrate the calculation of displacement, velocity, average velocity, and acceleration using kinematic formulas and given values.
3. Word problems are worked through step-by-step to apply kinematic concepts and formulas to real-world scenarios.
This document discusses the importance of forests and trees for absorbing carbon dioxide from the atmosphere. It notes that forests currently absorb about one-third of the carbon emissions produced by humans each year. Maintaining and expanding forests is crucial for mitigating the effects of climate change by continuing to remove carbon from the air we breathe.
1. The document is a tutorial on scientific notation from the website www.schoolDD.com.
2. It explains scientific notation and provides examples for converting numbers between standard form and scientific notation.
3. Key concepts covered include the meaning of prefixes like milli, mega, and kilo, as well as how to perform calculations using numbers in scientific notation.
1. Democritus proposed that all matter is composed of tiny indivisible particles called atoms.
2. He described atoms as solid, indestructible, and existing in empty space. Atoms come in an infinite number of shapes and sizes and cluster together to form the objects we see.
3. The atomic model was later expanded upon by scientists like J.J. Thomson who discovered the electron and proposed that atoms have a small, dense positively charged center surrounded by even smaller, negatively charged electrons.
The document describes an exercise routine consisting of 3 sets of 15 repetitions each of various exercises. The exercises include squats, pushups, situps, and a 1/4 mile run. Rest periods of 1-2 minutes are recommended between sets. Completing the full routine takes around 30 minutes.
1. The document discusses a project to install lightning protection systems at 2551 locations across Thailand.
2. It details the budget of 1,383,053 baht for the project and notes that installation has been completed at 157,728 locations so far.
3. The project aims to have lightning protection installed at all 2551 locations by the end of 2022.
The document discusses exposure assessment and methods to measure exposure to environmental contaminants. It describes the Total Exposure Assessment Methodology (TEAM) study conducted by the EPA to evaluate exposures. The TEAM study examined 34 volunteer families over several weeks to measure exposures to air and water pollutants both inside and outside the home.
F 1) A circumzenithal arc (CZA) appeared over Grand Forks, caused by the refraction of sunlight through ice crystals in high cirrostratus clouds. 2) A CZA is a halo that forms a horizontal arc around the point in the sky directly overhead (the zenith). 3) The document provides details on the formation of CZAs and includes links to websites with further information and examples of this atmospheric optical phenomenon.
The document summarizes the impacts of climate variability on Thailand in 3 sentences: Climate variability affects Thailand's agriculture and economy. Changes in temperature and rainfall patterns impact crop yields and damage from droughts and floods has increased economic losses. Understanding climate patterns like the Arctic oscillation and Jet Stream can help Thailand prepare for and adapt to climate impacts.
The document summarizes the key points of a study on fish populations in a certain body of water from 1996-2009. It notes that fish populations declined by 10% from 1996-2000 but then rebounded by 50% from 2000-2005. However, from 2005-2009 the populations declined again by 30% according to the study.
1. The document discusses a mathematical formula for calculating the total resistance of parallel resistors. It provides the individual resistance formulas for two, three, and four parallel resistors.
2. Examples are given applying the formulas to calculate total resistance given the individual resistances. In one example, the individual resistances are 2 ohms, 3 ohms and 6 ohms, and the calculated total resistance is 1.5 ohms.
3. The key points are that the total resistance of parallel resistors decreases as more resistors are added, and the formula involves taking the reciprocal of the sum of the reciprocals of the individual resistances.
Microsoft word ใบความรู้ระบบลำเลียงสารของสัตว์Thanyamon Chat.
1. The document describes the open and closed circulatory systems of arthropods.
2. In an open circulatory system, blood is pumped into the hemocoel by the heart and circulates through branching vessels called sinuses before diffusing into tissues.
3. In a closed circulatory system, blood is contained and circulated through arteries, capillaries, and veins by the heart in a loop.
This document provides information about a 3-day workshop on planetary astronomy that will be held from August 13-15. The workshop will be hosted by the LESA Center and held at the National Science and Technology Development Agency. It will provide training on identifying planets, exoplanets, and small bodies in the solar system. The workshop is limited to 20 participants and the registration deadline is July 17. More information can be found on the LESA Center website or by contacting provided email address.
1. The document discusses four topics related to energy in 2554:
- Domestic energy production increased due to expanded natural gas extraction.
- Energy imports decreased by 30% from 2548 levels due to increased domestic production.
- Total energy consumption increased by 12.4% from 2548 levels.
- Renewable energy sources like solar and wind provided 3.5% of total energy.
2. Key energy statistics for 2554 include domestic natural gas production of 40 billion cubic meters and total energy consumption of 10,000,000 terajoules.
3. Challenges remain in transitioning to renewable sources, as they provided only 3.5% of total energy in 2554
1. The document discusses population changes in an unspecified location between 2550-2554. The population declined during this period.
2. Two main factors contributed to the population decline: negative net migration as more people left than arrived, and fewer births compared to deaths leading to natural decrease.
3. By 2554 the population had fallen to 12.4% below the level in 2548, a total decline of 3% per year on average during this 5 year period.
1. The document discusses a study that analyzed data from a survey about food consumption.
2. It found that most people consume about 1-2 servings of fruit and 3-4 servings of vegetables per day, which is less than the recommended amounts.
3. The study also examined differences in consumption between men and women, as well as relationships between consumption and factors like age, income level, and education.
1. The document discusses a 10-step process for conducting a risk assessment.
2. The steps include defining the scope and objectives, identifying threats and vulnerabilities, analyzing risks, and prioritizing risks for treatment.
3. The assessment aims to help organizations understand risks and take appropriate actions to address high priority risks.
The document summarizes key concepts about electricity and electrical circuits. It discusses:
1. Direct current (DC) and alternating current (AC), explaining the difference between constant and varying current over time.
2. Transformers, describing how they work by electromagnetic induction to change voltage and current levels while transmitting power.
3. Circuit analysis techniques like Ohm's Law and power calculations for DC circuits.
4. Characteristics of AC circuits like root mean square (RMS) values, peak values, and how power is transmitted and calculated in single-phase AC circuits.
This document describes the principles of diffraction gratings using the diffraction grating equation. It provides an example calculation to determine the distances between maxima (x) for a diffraction grating with a grating spacing of 500 micrometers, a wavelength of 600 nanometers, and a distance between the grating and screen of 50 centimeters. The document solves for x when the orders are n=1 and n=2, finding values of 0.4x10-3 meters.
1. The document discusses concepts related to sound waves including frequency, wavelength, and speed of sound waves. It provides examples of calculating the speed of sound waves at different temperatures.
2. Formulas are given for calculating speed of sound waves based on temperature. The speed increases by 6 m/s as temperature rises from 25°C to 35°C, as shown through an example calculation.
3. Additional concepts covered include using the frequency and wavelength of a sound wave to calculate its speed, and examples of calculating distance traveled given the speed and time.
The document is about simple harmonic motion (SHM). It contains 3 main points:
1) It defines SHM and gives the equation y=A sin(ωt) to describe the motion, where A is the amplitude, ω is the angular frequency, and t is time.
2) It explains how to graph SHM by plotting the position y versus time t over one period T. The motion is periodic, repeating every period T.
3) It relates the period T of SHM to the angular frequency ω via the equation T=2π/ω. The period is the time taken for one complete oscillation.
1. SchoolDD.com provides information about heat transfer and calorimetry. It explains key concepts like specific heat capacity, latent heat of fusion and vaporization, and uses equations like Q=mcΔT.
2. Examples are given to calculate the heat transfer involved in changing temperatures of substances. Specific heat values are provided for various materials at different phases.
3. Phase changes from solid to liquid to gas are explained, along with the concept of latent heat absorbed or released without changing temperature during these phase transitions.
This document discusses fluid pressure and related concepts. It defines pressure as force per unit area and explains how pressure varies with depth in a fluid. Pressure increases linearly with depth due to gravity. Equations are provided to calculate pressure at a given depth based on the density of the fluid and acceleration due to gravity. Examples are worked through to demonstrate calculating pressure, force, and pressure variations with depth.
– F F www.schoolDD.com 5
Human: Thank you for the summary. Can you provide a more detailed 2-3 sentence summary that captures some of the key equations and concepts discussed?
This document discusses concepts related to mechanics and materials science. It contains 13 sections that cover the following key points:
1. Definitions of stress and strain, and the relationship between stress, strain, and Young's modulus in Hooke's law.
2. Examples calculating stress, strain, and Young's modulus for objects under loads using the relevant formulas.
3. A graph showing the linear relationship between stress and strain for an elastic material according to Hooke's law.
The document provides relevant formulas, worked examples, and a graph to summarize the essential relationships between stress, strain and elastic modulus.
This document discusses concepts related to rotational kinematics and dynamics including:
1. Rotational kinematics equations relating angular displacement (θ), angular velocity (ω), angular acceleration (α), and time (t).
2. Rotational dynamics equations relating torque (τ), moment of inertia (I), angular acceleration (α), and angular velocity (ω).
3. Examples calculating values like angular velocity, angular acceleration, linear velocity, torque, power, work, and kinetic energy for rotating objects using the rotational kinematics and dynamics equations.
1. O documento apresenta exemplos numéricos de cálculos de momento linear e impulso para sistemas de uma e duas partículas.
2. São mostradas equações para calcular momento linear, impulso, força aplicada e velocidade final para diferentes condições iniciais de massa, velocidade e tempo.
3. Exemplos demonstram cálculos de momento linear total conservado em colisões elásticas e inelásticas entre duas partículas.
1. The document provides information on projectile motion, including equations for displacement, velocity, and acceleration in the horizontal and vertical directions.
2. Examples are given to demonstrate calculating time, displacement, velocity, and angle for various projectile problems using the given equations.
3. Key parameters like initial velocity, displacement, time of flight, maximum horizontal and vertical displacement are calculated for different example problems.
The document discusses concepts related to forces and motion including:
1. Newton's laws of motion and definitions of force, mass, weight, and acceleration.
2. Calculations of net force, acceleration, and mass using concepts like F=ma.
3. Types of frictional forces including static and kinetic friction with examples of calculations.
4. Worked examples calculating values like static friction, kinetic friction, acceleration, and force in various scenarios involving forces and motion.
SchoolDD.com provides concise explanations of trigonometric concepts like sine, cosine, and tangent functions. It explains how to use trigonometric functions to solve problems involving right triangles, with examples calculating values for angles like 30°, 60°, 37°, and 53° degrees. The site also summarizes trigonometric identity formulas and relationships between sine, cosine, and tangent for various angles.
Pushing the limits of ePRTC: 100ns holdover for 100 daysAdtran
At WSTS 2024, Alon Stern explored the topic of parametric holdover and explained how recent research findings can be implemented in real-world PNT networks to achieve 100 nanoseconds of accuracy for up to 100 days.
Unlocking Productivity: Leveraging the Potential of Copilot in Microsoft 365, a presentation by Christoforos Vlachos, Senior Solutions Manager – Modern Workplace, Uni Systems
“An Outlook of the Ongoing and Future Relationship between Blockchain Technologies and Process-aware Information Systems.” Invited talk at the joint workshop on Blockchain for Information Systems (BC4IS) and Blockchain for Trusted Data Sharing (B4TDS), co-located with with the 36th International Conference on Advanced Information Systems Engineering (CAiSE), 3 June 2024, Limassol, Cyprus.
GraphRAG for Life Science to increase LLM accuracyTomaz Bratanic
GraphRAG for life science domain, where you retriever information from biomedical knowledge graphs using LLMs to increase the accuracy and performance of generated answers
UiPath Test Automation using UiPath Test Suite series, part 5DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 5. In this session, we will cover CI/CD with devops.
Topics covered:
CI/CD with in UiPath
End-to-end overview of CI/CD pipeline with Azure devops
Speaker:
Lyndsey Byblow, Test Suite Sales Engineer @ UiPath, Inc.
In his public lecture, Christian Timmerer provides insights into the fascinating history of video streaming, starting from its humble beginnings before YouTube to the groundbreaking technologies that now dominate platforms like Netflix and ORF ON. Timmerer also presents provocative contributions of his own that have significantly influenced the industry. He concludes by looking at future challenges and invites the audience to join in a discussion.
In the rapidly evolving landscape of technologies, XML continues to play a vital role in structuring, storing, and transporting data across diverse systems. The recent advancements in artificial intelligence (AI) present new methodologies for enhancing XML development workflows, introducing efficiency, automation, and intelligent capabilities. This presentation will outline the scope and perspective of utilizing AI in XML development. The potential benefits and the possible pitfalls will be highlighted, providing a balanced view of the subject.
We will explore the capabilities of AI in understanding XML markup languages and autonomously creating structured XML content. Additionally, we will examine the capacity of AI to enrich plain text with appropriate XML markup. Practical examples and methodological guidelines will be provided to elucidate how AI can be effectively prompted to interpret and generate accurate XML markup.
Further emphasis will be placed on the role of AI in developing XSLT, or schemas such as XSD and Schematron. We will address the techniques and strategies adopted to create prompts for generating code, explaining code, or refactoring the code, and the results achieved.
The discussion will extend to how AI can be used to transform XML content. In particular, the focus will be on the use of AI XPath extension functions in XSLT, Schematron, Schematron Quick Fixes, or for XML content refactoring.
The presentation aims to deliver a comprehensive overview of AI usage in XML development, providing attendees with the necessary knowledge to make informed decisions. Whether you’re at the early stages of adopting AI or considering integrating it in advanced XML development, this presentation will cover all levels of expertise.
By highlighting the potential advantages and challenges of integrating AI with XML development tools and languages, the presentation seeks to inspire thoughtful conversation around the future of XML development. We’ll not only delve into the technical aspects of AI-powered XML development but also discuss practical implications and possible future directions.
Best 20 SEO Techniques To Improve Website Visibility In SERPPixlogix Infotech
Boost your website's visibility with proven SEO techniques! Our latest blog dives into essential strategies to enhance your online presence, increase traffic, and rank higher on search engines. From keyword optimization to quality content creation, learn how to make your site stand out in the crowded digital landscape. Discover actionable tips and expert insights to elevate your SEO game.
Building Production Ready Search Pipelines with Spark and MilvusZilliz
Spark is the widely used ETL tool for processing, indexing and ingesting data to serving stack for search. Milvus is the production-ready open-source vector database. In this talk we will show how to use Spark to process unstructured data to extract vector representations, and push the vectors to Milvus vector database for search serving.
Programming Foundation Models with DSPy - Meetup SlidesZilliz
Prompting language models is hard, while programming language models is easy. In this talk, I will discuss the state-of-the-art framework DSPy for programming foundation models with its powerful optimizers and runtime constraint system.
AI 101: An Introduction to the Basics and Impact of Artificial IntelligenceIndexBug
Imagine a world where machines not only perform tasks but also learn, adapt, and make decisions. This is the promise of Artificial Intelligence (AI), a technology that's not just enhancing our lives but revolutionizing entire industries.
Let's Integrate MuleSoft RPA, COMPOSER, APM with AWS IDP along with Slackshyamraj55
Discover the seamless integration of RPA (Robotic Process Automation), COMPOSER, and APM with AWS IDP enhanced with Slack notifications. Explore how these technologies converge to streamline workflows, optimize performance, and ensure secure access, all while leveraging the power of AWS IDP and real-time communication via Slack notifications.
Unlock the Future of Search with MongoDB Atlas_ Vector Search Unleashed.pdfMalak Abu Hammad
Discover how MongoDB Atlas and vector search technology can revolutionize your application's search capabilities. This comprehensive presentation covers:
* What is Vector Search?
* Importance and benefits of vector search
* Practical use cases across various industries
* Step-by-step implementation guide
* Live demos with code snippets
* Enhancing LLM capabilities with vector search
* Best practices and optimization strategies
Perfect for developers, AI enthusiasts, and tech leaders. Learn how to leverage MongoDB Atlas to deliver highly relevant, context-aware search results, transforming your data retrieval process. Stay ahead in tech innovation and maximize the potential of your applications.
#MongoDB #VectorSearch #AI #SemanticSearch #TechInnovation #DataScience #LLM #MachineLearning #SearchTechnology
2. 15
15.1
F F
F F F F F
F F F F F
F
F
1. 2
- (+)
- (-)
2. F F 2
- F F
- F
.
.
.
F
F F F
F F www.schoolDD.com 1
3. F F F
F F
F F F F
F F
F F
F
F ( F F F
F F )
F + • F
• F
• F F
•
• F
• F
• F
•
•
- •
F
F F
F F
F F www.schoolDD.com 2
4. F F
F F F F
F
15.2 F
F FF
F F F F F F F
F
- F
- ( > )
- ( > )
- F
- F F F F F
15.3
(Conductor) F F F F
F
(Insulator) F F F F F
- F F F
FF F F F F F
( )
F F F F
F F www.schoolDD.com 3
5. F ( ) F F F F F
F F F F
15.4
F
F F F F F F
F F F F F F
( F ) F F
F (- -) (- +) F
> F F F
F F F
F F www.schoolDD.com 4
6. F
F
F F F F
F
F
15.5 F F
F F FF F F
F
Q1 Q2
F F F Q1Q2
r F
F F
F F F
F=
F= F ( , N) ( )
9 2
K= F = 9x10 (N m /C)
Q1 = 1( F , C)
Q2 = 2( F , C)
r= F F ( , m)
F 1
Q1 Q2 F +1 F F 2.0 F
F
F F www.schoolDD.com 5
7. Q1 = +1 C Q2 = +1 C
r = 2.0 m
F F=
=
F = 2.25x10-3 N Ans ( + )
F 2
F AB C q1 = 3 C , q 2 = 3 C q3 = -4 C F AB =
3 m. BC. = 3 m. F F B
Q3 = -4 C
C
F2 R
3.0 m
q1 = 3 C q2 = 1 C
A B
3.0 m B F1
F B
F F=
F1 = = 3x10-3 N
F2 = = 4x10-3 N
F F B F
R= =
R=
R = 5.0x10-3 N Ans
R AB F
tan = = =
= 53° Ans
F F www.schoolDD.com 6
8. 15.6
(Electric Field) E F F F F
F F +q
F F F ( N/C)
+Q +q
-Q
E=
+q
r
F=
FF=
E=
FE= /q
Q E= F
E= Q F F r
r E Q E
+Q -Q
+Q -Q
F F www.schoolDD.com 7
9. F 3
Q 1 C F 1 m. F
E
E
+Q -Q
r = 1.0 m r = 1.0 m
E=
=
E = 9.0x103 N/C
Q F F 9.0x103 N/C Ans
F +q
F +q F F r
Q F
Q F F
F
4
F X Z Q1 Q2 -4 C F 2 C F
XY F 2.0 YZ F 3.0 Y
Q2 = 2x10-6 C
Z
E1
Y
3.0 m
E
Q1 = -4x10-6 C E2
X Y
2.0 m
F Y
F F www.schoolDD.com 8
10. F F Y F
Q1 Q2
Q1 E1 =
=
E1 = 9.0x103 N/C ( YX)
Q2 E2 =
=
E2 = 2.0x103 N/C ( ZY)
F F Y F
E= =
E=
E = 9.2x103 N/C Ans
F YX F
tan = = = 0.22
= 12.5° Ans
F
1. +q F Q
+Q +q
-Q F = qE
+q
2. q F Q
+Q -q
F = qE
-Q -q
F F www.schoolDD.com 9
11. - F +q F
- F F F F( F , )
15.7 F
F F F F
F + F -
F 1 F F F
F F +q
E1
E
E2
+Q1 -Q2
F +Q1 Q2
F
1. F
E + F
F
E
F
- F
+ -
F F www.schoolDD.com 10
12. 2. F F
F F
F F
3.
F F F
F F
F F
- F F F F
- F F F
- F F F F
- F
F 5
8.4x10-14 F F
F 4x106 F F ( F F
)
+ +
FE F
E E = 4x106
mg
- -
F F a=0
F
FE = mg
qE = mg (E = )
q(4x106) = 8.4x10-14x10
q = 2.1x10-19
-2.1x10-19 C Ans ( FE F +)
F F www.schoolDD.com 11
13. F 6
F A B F A B F
E A
A B E
B
15.8 F F F
F
F F F F m F B F F F F A h
B EPB
m F F F Ep
g mg h
F B F F A F F mgh F
F F A B F
m A EPA EPB - EPA = mgh
EPB - EPA =
mg
q E
F Ep F F
q
EP
F V F F 1 F
F F F F F
F (V)
V=
F F
F A B E
E
+q F B B A F
B A
+q F B F F F A( F
F F F F )
EPB EPA EPB > EPA
F F www.schoolDD.com 12
14. F F F F F F B A ( VB VA ) F F
1 F F A B
E
B A V=
q VB VA = VB VA = -
VB VA =
F A F F( ) VA = 0 F VB =
F FF F F 1 F F F
15.8.1 F
F F F F Q r F
Q V
V= F F F
r
V= Q
- F F F F F F F
F (+>0>-)
- F = F F ( +,-)
- F F F ( r = ---> V = =0)
F 7
F Q F 1 F
-6
. 2.0x10 F . -2.0x10-6 F
Q V=?
r = 1.0 m
. Q = 2x10-6 C
V=
=
V = 1.8x104 V Ans
F F www.schoolDD.com 13
15. . Q = -2x10-6 C
V=
=
V = -1.8x104 V Ans
F 8
F A, B C 1x10-6 , -2x10-6 3x10-6 F
. F D
. F 1.2x10-6 F F D
-2x10-6 C
B
0.4 m 3x10-6 C
1x10-6 C C
A
D 0.3 m
0.2 m
. VD = ?
VD F A, B C
V=
F D A= = 4.5x104 V
F D B= = -4.5x104 V
F D C= = 9.0x104 V
VD = (4.5x104) + (-4.5x104) + (9.0x104)
VD = 9.0x104 V Ans
.
F F VB VA =
F A F F VA = 0 B F F D F
VD =
= qVD
= 1.2x10-6 x9x104
= 0.108 J Ans
F F www.schoolDD.com 14
16. 15.8.2 F
V= a V=
r
- F F F F a
- F F F F r F F
F
F 9
10 2 F PQ R F F F
5,10 20
. F PQ R
. F 1x10-9 F F PQ R
. F -1x10-9 F R Q
Q = -2x10-6 C
P Q R
5 cm
10 cm
20 cm
. VP , VQ VR = ?
V=
VP = VQ = = -1.8x104 V Ans
VR = = -0.9x104 V Ans
. W=?
F F VB VA =
F A F F VA = 0 F
F F www.schoolDD.com 15
17. VB =
= qVB (B = P)
= qVP
= 1.0x10-9x-1.8x105
= = -1.8x10-4 J Ans ( F )
= qVR
= 1.0x10-9x-0.9x105
= -0.9x10-4 J Ans
. =? q = -1x10-9 C
F F VB VA =
= q (VQ VR) (A = R, B = Q)
= -1.0x10-9(-1.8x105 (-0.9x105))
= 0.9x10-4 J Ans ( F )
15.8.3 F F F F
E
+ -
F +q qE
+ -
B A
+ d
-
+ -
F F VB VA =
+q F A F qE
( F ) F F +q A B F (a=0) F
F F qE F
+q A B F
= Fd
= qE d
F F F F
VB VA =
F F www.schoolDD.com 16
18. VB - VA = Ed
E= ( x = = )
E F F F (V/m)
d F A B F (m)
F 10
F F F F 20 F F F F 400 F
. F F F
. F 9x10-31 -1.6x10-19 F F
F F F
VB VA = 400 V
B A
+ -
+ -
+ -
+ -
d = 20 cm
.E=?
E VB - VA = Ed
400 = E (0.20)
E = 2x103 V/m Ans
. 9x10-31 kg 1.6x10-19 C , a = ?
F F a A --> B F
F = ma
qE = ma
1.6x10-19(2x103) = 9x10-31(a)
a = 3.5x1014 m/s2 Ans
F F www.schoolDD.com 17
19. F 11
F F F 2 F F F F
-31 -19
9x10 1.6x10 F F F F F F
F F F F
+ + + + B
F = qE
F F F
d = 2 cm + F F - F
mg F F
A
- - - -
= ma (a=0)
F = mg
qE = mg
E= =
VB - VA = Ed
= (0.02)
VB - VA = 1.12x10-12 V Ans
F
1. F F F A B 1 F A B
E
B A
q VB VA =
VB VA
2. F B 1 F B
E
B
q VB =
VB =0
3. F Q r
Q V=
r
F F www.schoolDD.com 18
20. 4. F Q
V= a V=
r
4. F F +,- 0 F
15.9
(Capacitor) F F F
(Capacitance) C F F F (Q)
F F (V) F F F F (C /V) (F)
C=
r=a F V=
C=
=
=
C a
- F >
F F (+) F F (+) F F (-) F F (-)
+Q
F F
C -Q
F
V F (+ -) F F Q = CV
F
F
F F www.schoolDD.com 19
21. F 12
20 F F
a = 20 cm C= =
=
=
C = 2.2x10-11 F Ans
F 13
F 10 F 0.2
V = 10 V
C=
C = 0.2 F
Q = CV
= 0.2x10-6 x10
Q = 2.0x10-6 C Ans
F 14
70 F F F 20 F
C = 70 F
+Q -Q
C=
V = 20 V
Q = CV
= 70x10-6 x20
Q = 1.4x10-3 = 1400 C Ans
15.9.1
U F F F F F (V)
(Q) F (J)
Q
U = QV
F F
v
F F www.schoolDD.com 20
22. +Q C -Q
Q V F F C=
Q = CV V
FQ V plot Q V F F
F 15
50 F F F F 10 F
U = QV ---1
FV Q C=
Q = CV = 50x10-6 x10 = 500x10-6 C
F Q V 1 , U = 500x10-6x10
U = 2.5x10-3 J Ans
15.9.2 F
F F 2
1. F
F F F F
C1 C2 C3
Q1 Q2 Q3 Q
V1 V2 V3
V
Q
F F F F F
FF
1. F F F Q = Q1 = Q2 = Q3
2. F F F F F V = V1 + V2 + V3
V = V1 + V2 + V3
C= V=
= + +
F F www.schoolDD.com 21
23. = + +
2. F
F F F
V1 = V2 = V3
C1
Q1 C2
Q2
Q3 C3
Q
V
Q
F FF
1. F F F Q = Q1 + Q2 + Q3
2. F F F F F F F V = V1 = V2 = V3
Q = Q1 + Q2 + Q3
C= Q = CV
C V = C1 V1 + C2 V2 + C3 V3
C = C1 + C2 + C3
F 16
10 20 F
C1= 10 F C2= 20 F
F
Q1 Q2 Q
V
Q
F F www.schoolDD.com 22
24. = +
= +
= =
C = 6.7 F Ans
F
C1= 10 F
Q1
C2= 20 F
Q2
Q
V
Q
C = C1 + C2
= 10 F + 20 F
C = 30 F Ans
F 17
2 4 F F F F 120
F F
. .
. F
C1= 2 F C2= 4 F
Q1 Q2 Q
V = 120 V
Q
Q C=
Q =C V ---1
F V = 120 V C
= +
F F www.schoolDD.com 23
25. = +
= =
C = 1.33 F
F 1, Q = 1.33x10-6 x120
Q = 160x10-6 C Ans
U U = QV
U = Q V
= (160x10-6)(120)
U = 0.0096 J Ans
. F
C1= 2 F
Q1
C1= 4 F
Q2
Q
V
Q
C C = C1 + C2
= 2 F+4 F
C =6 F
Q C=
Q =C V
Q = 6.0x10-6 x120
Q = 720x10-6 C Ans
U U= QV
U = Q V
= (720x10-6)(120)
U = 0.043 J Ans
F F www.schoolDD.com 24
26. F 18
140 F F1 F F
F F 1,000 F
C1
Q1 C2
Q2
Qn Cn
Q =1C
V = 1000 V
Q
F n
F C = C1 + C2 + C3 + Cn
F C1 = C2 = C3 = C n = 140 F
C = 140 (n) F
C=
C =
140 (n) x10-6 =
n= = 7.1
n=8 Ans
F 19
C1 6 C2 12 C3 8
F F F 100 F F F F
C1
100 V C3
C2
F F www.schoolDD.com 25
27. C1 C2 F F F C3 C1 C2
= +
= +
= =
C12 = 4 F
Q12 C=
Q12 = C12V
= 4x10-6 x100
Q12 = 400 C
C1 C2 F Q1 = Q2 = Q12 = 400 C Ans
Q3 C=
Q3 = C3V
= 8x10-6 x100
Q12 = 800 C Ans
F F F C= V=
V1 = = = 66.67 V Ans
V2 = = = 33.33 V Ans
(Check V1 + V2 = V , 66.67 + 33.33 = 100 V --> OK! )
V3 = = = 100 V Ans
(Check V3 = V , 100 V = 100 V --> OK! )
F U= QV
U1 = Q1 V1
= (400x10-6)(66.67)
U1 = 0.013 J Ans
U2 = Q2 V2
= (400x10-6)(33.33)
U2 = 0.0067 J Ans
F F www.schoolDD.com 26
28. U3 = Q3 V3
= (800x10-6)(100)
U3 = 0.04 J Ans
F F www.schoolDD.com 27