This document provides sample questions from various units of the subject Electromagnetic Fields. It includes two questions from each unit and year from 2010-2014. The units covered are: Static Electric Fields, Conductors and Dielectrics, Static Magnetic Fields, Magnetic Forces and Materials, and Time Varying Fields and Maxwell's Equations. The questions test various concepts like electric field intensity, potential, Gauss's law, Laplace's equation, magnetic field intensity, Biot-Savart law, Ampere's circuital law, magnetic boundary conditions, energy, and Maxwell's equations.
This document section provides an introduction to magnetic fields, including:
- Defining a magnetic field B as the force per unit charge on a moving charged particle.
- Explaining that magnetic force BF is perpendicular to both the particle's velocity v and the magnetic field B.
- Deriving the magnetic force on a current-carrying wire segment and using this to calculate the total magnetic force on wires of different shapes, including closed loops.
- Working through an example problem to calculate the magnetic forces on different parts of a semi-circular current loop placed in a uniform magnetic field.
This document provides an overview of magnetostatics and magnetic field calculations. It begins with an introduction to the magnetic dipole moment and magnetic fields. It then discusses Maxwell's equations in magnetostatics and various magnetic field calculations including using the vector potential, scalar potential, and boundary conditions. The document concludes with a discussion of magnetostatic energy and forces. Key topics covered include the magnetic dipole moment, Biot-Savart law, demagnetizing fields, susceptibility, hysteresis, magnetic potentials, and energy associated with magnetic fields and materials.
The document appears to be the blueprint for a 12th grade physics exam. It includes the exam structure and breakdown of questions by topic, including the number and point value of various short answer questions, long answer questions, and total points for each topic. It also includes sample exam questions on various physics topics like electrostatics, current electricity, magnetism, electromagnetic induction, electromagnetic waves, optics, atomic structure, and electronics. The document provides the framework and examples to prepare students for the exam.
This document discusses electrostatics and related concepts. It begins by outlining what will be covered, including finding electrostatic fields for various charge distributions, the energy density of electrostatic fields, and how fields behave at media interfaces. It then defines Coulomb's law and the electric field, and discusses Gauss's law and how to use it to find electric fields from symmetric charge distributions. Finally, it covers electric potential, boundary value problems, and the electrostatic energy of charge distributions.
This document provides an introduction to the concepts covered in the course EC 8451 - Electromagnetic Fields. It begins with an overview of the electromagnetic model and defining the basic quantities used, including electric charge, current density, and the four fundamental field quantities. It then reviews key concepts in vector algebra and describes the rectangular, cylindrical, and spherical coordinate systems. The remainder of the document provides more details on units and constants, vector operations, and the Cartesian and cylindrical coordinate systems.
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This document section provides an introduction to magnetic fields, including:
- Defining a magnetic field B as the force per unit charge on a moving charged particle.
- Explaining that magnetic force BF is perpendicular to both the particle's velocity v and the magnetic field B.
- Deriving the magnetic force on a current-carrying wire segment and using this to calculate the total magnetic force on wires of different shapes, including closed loops.
- Working through an example problem to calculate the magnetic forces on different parts of a semi-circular current loop placed in a uniform magnetic field.
This document provides an overview of magnetostatics and magnetic field calculations. It begins with an introduction to the magnetic dipole moment and magnetic fields. It then discusses Maxwell's equations in magnetostatics and various magnetic field calculations including using the vector potential, scalar potential, and boundary conditions. The document concludes with a discussion of magnetostatic energy and forces. Key topics covered include the magnetic dipole moment, Biot-Savart law, demagnetizing fields, susceptibility, hysteresis, magnetic potentials, and energy associated with magnetic fields and materials.
The document appears to be the blueprint for a 12th grade physics exam. It includes the exam structure and breakdown of questions by topic, including the number and point value of various short answer questions, long answer questions, and total points for each topic. It also includes sample exam questions on various physics topics like electrostatics, current electricity, magnetism, electromagnetic induction, electromagnetic waves, optics, atomic structure, and electronics. The document provides the framework and examples to prepare students for the exam.
This document discusses electrostatics and related concepts. It begins by outlining what will be covered, including finding electrostatic fields for various charge distributions, the energy density of electrostatic fields, and how fields behave at media interfaces. It then defines Coulomb's law and the electric field, and discusses Gauss's law and how to use it to find electric fields from symmetric charge distributions. Finally, it covers electric potential, boundary value problems, and the electrostatic energy of charge distributions.
This document provides an introduction to the concepts covered in the course EC 8451 - Electromagnetic Fields. It begins with an overview of the electromagnetic model and defining the basic quantities used, including electric charge, current density, and the four fundamental field quantities. It then reviews key concepts in vector algebra and describes the rectangular, cylindrical, and spherical coordinate systems. The remainder of the document provides more details on units and constants, vector operations, and the Cartesian and cylindrical coordinate systems.
FellowBuddy.com is an innovative platform that brings students together to share notes, exam papers, study guides, project reports and presentation for upcoming exams.
We connect Students who have an understanding of course material with Students who need help.
Benefits:-
# Students can catch up on notes they missed because of an absence.
# Underachievers can find peer developed notes that break down lecture and study material in a way that they can understand
# Students can earn better grades, save time and study effectively
Our Vision & Mission – Simplifying Students Life
Our Belief – “The great breakthrough in your life comes when you realize it, that you can learn anything you need to learn; to accomplish any goal that you have set for yourself. This means there are no limits on what you can be, have or do.”
Like Us - https://www.facebook.com/FellowBuddycom
1) Magnetostatic fields are produced when charges move with constant velocity, originating from currents like those in wires.
2) Biot-Savart's law describes the magnetic field produced by a current element, with the field proportional to the current and inversely proportional to the distance.
3) Ampere's law, in integral and differential form, relates the line integral of the magnetic field around a closed path to the total current passing through the enclosed surface.
This document discusses electric currents and magnetostatic fields. It introduces key concepts like current density, Ohm's law, Kirchhoff's laws, and Joule's law. It also discusses magnetic fields produced by steady electric currents using Biot-Savart law, Gauss's law for magnetism, and Ampere's circuital law. The document covers boundary conditions for current density and magnetic fields at material interfaces.
1) James Clerk Maxwell unified existing laws of electricity and magnetism through his equations, revealing that changing electric and magnetic fields propagate as electromagnetic waves traveling at the speed of light.
2) Solving Maxwell's equations results in the wave equation, showing that light is an electromagnetic wave.
3) Electromagnetic waves carry energy through space, and all remote sensing is based on the modulation of this energy.
1. This document provides numerical problems related to electric potential, electric potential energy, and capacitance. It includes 55 problems covering topics like calculating potential due to point charges, work done in electric fields, potential energy of charge configurations, capacitance of parallel plate and other capacitors, and energy stored in capacitors.
2. Many problems involve calculating electric potential, electric field intensity, or capacitance given charges and distances between charges or capacitor plate separations. Other problems calculate work done, potential energy, or energy stored in capacitors.
3. The problems cover basic concepts in electrostatics and capacitance and provide practice calculating various quantities using the fundamental equations for these topics.
This document contains lecture notes on electromagnetic theory from a course taught by Arpan Deyasi. It discusses the Biot-Savart law, which gives mathematical expressions for the magnetic field created by steady current-carrying wires and distributions of electric current. It also covers the Lorentz force law and how it relates to the combined electric and magnetic forces on a moving charged particle. Examples are presented on calculating magnetic fields and forces. The document concludes by deriving the solenoidal property of magnetic fields.
*Animated PPT FOR SCHOOL/ Coachings *
Physics , Chemistry , maths , biology
(Improve your teaching style )
*CONTENT*:-
1. ANIMATED THEORY
(COMES ON PRESS KEY ONE BY ONE )
2.MCQ
3. LIVE EXAMPLE
4. ANIMATED IMAGES LIKE
SPRING , CAR ETC
5. ANIMATED
6. CHAPTER WISE QUESTIONS AND SOLUTION WITH ANIMATED IMAGES
7. SEPARATE TOPIC SEPARATE FILES
Live example watch this video
https://youtu.be/PG4LTFUKi1A
https://drive.google.com/folderview?id=1KsUPQfeqPQXQ6y6MzoMl07C89yRYhnQt
*Delivery in 1 min in Google drive*
No any file miss .
* Work with in zoom ,Google neet , *
contact/whatsapp:- 9753223223
The document appears to be the syllabus for a 12th grade physics chapter on electrostatics. It includes 3 sections: 1) Key concepts related to electric charges, fields, potential, capacitance, and dielectrics, 2) Important formulas, and 3) Sample problems. The concepts cover topics such as Coulomb's law, electric fields, electric potential, capacitors, dielectrics, and more. Formulas provided include those for electric force, field, potential, capacitance, and other quantities. Sample problems demonstrate applications of the concepts and formulas to calculate values related to charges, fields, dipoles, capacitors, and more.
The document discusses the dual nature of matter and radiation. It provides answers to multiple choice and numerical questions related to photoelectric effect, de Broglie wavelength, and magnetic effect of current. Regarding photoelectric effect, it explains that electron emission from a zinc plate in ultraviolet light is due to the photoelectric effect. It also discusses how kinetic energy of photoelectrons varies with frequency of incident radiation. Regarding magnetic effect of current, it describes how to determine direction and magnitude of magnetic field around current carrying wires using the right hand grip rule. It also solves problems related to forces experienced by charged particles in magnetic fields.
Cbse class 12 physics sample paper 02 (for 2014)mycbseguide
The document provides a sample physics question paper for Class 12 with 29 questions ranging from 1 to 5 marks. It includes questions from various topics in physics like electromagnetism, optics, modern physics, semiconductor devices, communication systems, and electrical circuits. The paper tests concepts, calculations, principles, diagrams, and applications of concepts across different areas of the physics syllabus. It provides guidelines for time, marks distribution and instructions for answering the questions.
The electric force between two charged particles is:
- Inversely proportional to the square of the distance between them
- Directed along the line joining the particles
- Attractive if charges have opposite signs, repulsive if the same
The electric field E at a point is defined as the electric force on a positive test charge at that point divided by the magnitude of the test charge. Electric field lines are drawn tangent to the field, with a higher density of lines indicating a greater field magnitude.
This lecture provides an overview of electromagnetic fields and Maxwell's equations. It introduces key concepts including electric and magnetic fields, Maxwell's equations in integral and differential form, electromagnetic boundary conditions, and electromagnetic fields in materials. Maxwell's equations are the fundamental laws of classical electromagnetics and govern all electromagnetic phenomena. The lecture also discusses phasor representation for time-harmonic fields.
Physics Sample Paper with General Instruction for Class - 12Learning Three Sixty
Learning 360 brings “Physics sample paper” for CLASS – 12. This document also carries 31 questions with solution of each given question for better understanding of the students. Download for free now; http://www.learning360.net/study_hub/1090-2/
Study of electromagnetics is for electric and magnetic fields. To understand those fields, we need to know the concept of vector and differential operators.
This document contains 53 additional one-mark questions on electrostatics for 12th standard physics from Bharathidasanar Matric Higher Secondary School in Arakkonam. The questions cover topics like electric field, electric flux, capacitors, electric dipoles and more. Key answers are provided for self-study purposes.
[Electricity and Magnetism] ElectrodynamicsManmohan Dash
We discussed extensively the electromagnetism course for an engineering 1st year class. This is also useful for ‘hons’ and ‘pass’ Physics students.
This was a course I delivered to engineering first years, around 9th November 2009. I added all the diagrams and many explanations only now; 21-23 Aug 2015.
Next; Lectures on ‘electromagnetic waves’ and ‘Oscillations and Waves’. You can write me at g6pontiac@gmail.com or visit my website at http://mdashf.org
This document discusses Gauss's law and related electromagnetic theory concepts taught in a course. It provides:
1) An overview of Gauss's law, which states that the total outward electric flux through a closed surface is equal to the total charge enclosed divided by the permittivity of the medium.
2) Derivations and proofs of Gauss's law using calculus theorems like divergence theorem.
3) Applications of Gauss's law to problems involving charge distributions and electric field calculations.
4) Discussions of related concepts like Gauss's law in polarized media, current continuity equation, relaxation time, and Poisson's equation.
5) Example problems demonstrating the application of these electromagnetic theory principles.
The document discusses the method of moments (MoM) technique for solving electromagnetic problems. It begins by introducing MoM and its application to electrostatic problems. The basic steps in MoM are then outlined, which involve transforming integro-differential equations into a matrix system of linear equations using a basis function approximation. Weighting functions are used to enforce boundary conditions and eliminate error, resulting in a matrix equation that can be solved for the unknown coefficients. An example problem applying Galerkin's MoM to a 1D differential equation is presented to illustrate the method.
JEE Main 12 Sample ebook, which helps you to understand the chapter in easy way also downaload sample papers and previous year papers and practice to solve the question on time. Download at www.misostudy.com.
JEE Main Advanced 12 Sample ebook, which helps you to understand the chapter in easy way also download sample papers and previous year papers and practice to solve the question on time. Download at www.misostudy.com.
This document contains a sample physics question paper for Class 12 with 26 questions across 5 sections (A-E). It provides general instructions, details of questions in each section, and values of important physical constants. Section A contains 5 one-mark questions, Section B has 5 two-mark questions, Section C has 12 three-mark questions, Section D has 1 four-mark question and Section E contains 3 five-mark questions. The document tests students' understanding of concepts in electricity, magnetism, electromagnetic waves, optics, modern physics and electronics.
1) Magnetostatic fields are produced when charges move with constant velocity, originating from currents like those in wires.
2) Biot-Savart's law describes the magnetic field produced by a current element, with the field proportional to the current and inversely proportional to the distance.
3) Ampere's law, in integral and differential form, relates the line integral of the magnetic field around a closed path to the total current passing through the enclosed surface.
This document discusses electric currents and magnetostatic fields. It introduces key concepts like current density, Ohm's law, Kirchhoff's laws, and Joule's law. It also discusses magnetic fields produced by steady electric currents using Biot-Savart law, Gauss's law for magnetism, and Ampere's circuital law. The document covers boundary conditions for current density and magnetic fields at material interfaces.
1) James Clerk Maxwell unified existing laws of electricity and magnetism through his equations, revealing that changing electric and magnetic fields propagate as electromagnetic waves traveling at the speed of light.
2) Solving Maxwell's equations results in the wave equation, showing that light is an electromagnetic wave.
3) Electromagnetic waves carry energy through space, and all remote sensing is based on the modulation of this energy.
1. This document provides numerical problems related to electric potential, electric potential energy, and capacitance. It includes 55 problems covering topics like calculating potential due to point charges, work done in electric fields, potential energy of charge configurations, capacitance of parallel plate and other capacitors, and energy stored in capacitors.
2. Many problems involve calculating electric potential, electric field intensity, or capacitance given charges and distances between charges or capacitor plate separations. Other problems calculate work done, potential energy, or energy stored in capacitors.
3. The problems cover basic concepts in electrostatics and capacitance and provide practice calculating various quantities using the fundamental equations for these topics.
This document contains lecture notes on electromagnetic theory from a course taught by Arpan Deyasi. It discusses the Biot-Savart law, which gives mathematical expressions for the magnetic field created by steady current-carrying wires and distributions of electric current. It also covers the Lorentz force law and how it relates to the combined electric and magnetic forces on a moving charged particle. Examples are presented on calculating magnetic fields and forces. The document concludes by deriving the solenoidal property of magnetic fields.
*Animated PPT FOR SCHOOL/ Coachings *
Physics , Chemistry , maths , biology
(Improve your teaching style )
*CONTENT*:-
1. ANIMATED THEORY
(COMES ON PRESS KEY ONE BY ONE )
2.MCQ
3. LIVE EXAMPLE
4. ANIMATED IMAGES LIKE
SPRING , CAR ETC
5. ANIMATED
6. CHAPTER WISE QUESTIONS AND SOLUTION WITH ANIMATED IMAGES
7. SEPARATE TOPIC SEPARATE FILES
Live example watch this video
https://youtu.be/PG4LTFUKi1A
https://drive.google.com/folderview?id=1KsUPQfeqPQXQ6y6MzoMl07C89yRYhnQt
*Delivery in 1 min in Google drive*
No any file miss .
* Work with in zoom ,Google neet , *
contact/whatsapp:- 9753223223
The document appears to be the syllabus for a 12th grade physics chapter on electrostatics. It includes 3 sections: 1) Key concepts related to electric charges, fields, potential, capacitance, and dielectrics, 2) Important formulas, and 3) Sample problems. The concepts cover topics such as Coulomb's law, electric fields, electric potential, capacitors, dielectrics, and more. Formulas provided include those for electric force, field, potential, capacitance, and other quantities. Sample problems demonstrate applications of the concepts and formulas to calculate values related to charges, fields, dipoles, capacitors, and more.
The document discusses the dual nature of matter and radiation. It provides answers to multiple choice and numerical questions related to photoelectric effect, de Broglie wavelength, and magnetic effect of current. Regarding photoelectric effect, it explains that electron emission from a zinc plate in ultraviolet light is due to the photoelectric effect. It also discusses how kinetic energy of photoelectrons varies with frequency of incident radiation. Regarding magnetic effect of current, it describes how to determine direction and magnitude of magnetic field around current carrying wires using the right hand grip rule. It also solves problems related to forces experienced by charged particles in magnetic fields.
Cbse class 12 physics sample paper 02 (for 2014)mycbseguide
The document provides a sample physics question paper for Class 12 with 29 questions ranging from 1 to 5 marks. It includes questions from various topics in physics like electromagnetism, optics, modern physics, semiconductor devices, communication systems, and electrical circuits. The paper tests concepts, calculations, principles, diagrams, and applications of concepts across different areas of the physics syllabus. It provides guidelines for time, marks distribution and instructions for answering the questions.
The electric force between two charged particles is:
- Inversely proportional to the square of the distance between them
- Directed along the line joining the particles
- Attractive if charges have opposite signs, repulsive if the same
The electric field E at a point is defined as the electric force on a positive test charge at that point divided by the magnitude of the test charge. Electric field lines are drawn tangent to the field, with a higher density of lines indicating a greater field magnitude.
This lecture provides an overview of electromagnetic fields and Maxwell's equations. It introduces key concepts including electric and magnetic fields, Maxwell's equations in integral and differential form, electromagnetic boundary conditions, and electromagnetic fields in materials. Maxwell's equations are the fundamental laws of classical electromagnetics and govern all electromagnetic phenomena. The lecture also discusses phasor representation for time-harmonic fields.
Physics Sample Paper with General Instruction for Class - 12Learning Three Sixty
Learning 360 brings “Physics sample paper” for CLASS – 12. This document also carries 31 questions with solution of each given question for better understanding of the students. Download for free now; http://www.learning360.net/study_hub/1090-2/
Study of electromagnetics is for electric and magnetic fields. To understand those fields, we need to know the concept of vector and differential operators.
This document contains 53 additional one-mark questions on electrostatics for 12th standard physics from Bharathidasanar Matric Higher Secondary School in Arakkonam. The questions cover topics like electric field, electric flux, capacitors, electric dipoles and more. Key answers are provided for self-study purposes.
[Electricity and Magnetism] ElectrodynamicsManmohan Dash
We discussed extensively the electromagnetism course for an engineering 1st year class. This is also useful for ‘hons’ and ‘pass’ Physics students.
This was a course I delivered to engineering first years, around 9th November 2009. I added all the diagrams and many explanations only now; 21-23 Aug 2015.
Next; Lectures on ‘electromagnetic waves’ and ‘Oscillations and Waves’. You can write me at g6pontiac@gmail.com or visit my website at http://mdashf.org
This document discusses Gauss's law and related electromagnetic theory concepts taught in a course. It provides:
1) An overview of Gauss's law, which states that the total outward electric flux through a closed surface is equal to the total charge enclosed divided by the permittivity of the medium.
2) Derivations and proofs of Gauss's law using calculus theorems like divergence theorem.
3) Applications of Gauss's law to problems involving charge distributions and electric field calculations.
4) Discussions of related concepts like Gauss's law in polarized media, current continuity equation, relaxation time, and Poisson's equation.
5) Example problems demonstrating the application of these electromagnetic theory principles.
The document discusses the method of moments (MoM) technique for solving electromagnetic problems. It begins by introducing MoM and its application to electrostatic problems. The basic steps in MoM are then outlined, which involve transforming integro-differential equations into a matrix system of linear equations using a basis function approximation. Weighting functions are used to enforce boundary conditions and eliminate error, resulting in a matrix equation that can be solved for the unknown coefficients. An example problem applying Galerkin's MoM to a 1D differential equation is presented to illustrate the method.
JEE Main 12 Sample ebook, which helps you to understand the chapter in easy way also downaload sample papers and previous year papers and practice to solve the question on time. Download at www.misostudy.com.
JEE Main Advanced 12 Sample ebook, which helps you to understand the chapter in easy way also download sample papers and previous year papers and practice to solve the question on time. Download at www.misostudy.com.
This document contains a sample physics question paper for Class 12 with 26 questions across 5 sections (A-E). It provides general instructions, details of questions in each section, and values of important physical constants. Section A contains 5 one-mark questions, Section B has 5 two-mark questions, Section C has 12 three-mark questions, Section D has 1 four-mark question and Section E contains 3 five-mark questions. The document tests students' understanding of concepts in electricity, magnetism, electromagnetic waves, optics, modern physics and electronics.
This document contains physics examination papers from 2008-2012 administered by the Central Board of Secondary Education (CBSE) in Delhi, India. It lists the contents which include CBSE examination papers from Delhi and All India in those years, as well as foreign papers. A sample paper from the 2008 Delhi exam is then provided, consisting of 30 multiple choice questions testing concepts in physics.
1) The document provides one mark, two mark and three mark questions from the chapter on Electric Charges and Fields.
2) It includes questions testing definitions of key terms like electric charge, electric field, electric dipole moment, Gauss's law.
3) It also has questions requiring diagrams of electric field patterns and derivations of expressions for force between charges and electric field.
1) The document provides one mark, two mark and three mark questions from the chapter on Electric Charges and Fields.
2) It includes questions testing definitions of key terms like electric charge, electric field, electric dipole moment, Gauss's law.
3) It also has questions requiring diagrams of electric field patterns and derivations of expressions for force between charges and electric field.
The document provides general instructions for a question paper consisting of 30 questions ranging from very short answer to long answer questions worth 1 to 5 marks each. It specifies that all questions are compulsory and there is no overall choice but internal choice in some questions. Calculators are not allowed but log tables can be used. The document then lists the 30 questions covering various topics in physics.
This document provides preparatory notes and examples for an exam on electromagnetic theory. It covers key concepts like the Lorentz force equation, Biot-Savart law, Ampere's circuital law, Gauss's law for magnetism, and magnetic boundary conditions. Examples calculate the magnetic field and force on charges in various configurations like an infinite line current, parallel wires, and a ring of current. The document is a useful study guide summarizing the essential electromagnetic concepts and formulas tested on the exam.
11903 Electromagnetic Waves And Transmission Linesguestac67362
This document contains an exam for the subject Electromagnetic Waves and Transmission Lines. It consists of 8 questions, each with 2 parts, and students must answer 5 questions. The questions cover topics like Maxwell's equations, wave equations, transmission lines, waveguides, and electric and magnetic fields. The exam is worth a total of 80 marks and students have 3 hours to complete it.
11903 Electromagnetic Waves And Transmission Linesguestd436758
This document contains information about an electromagnetic waves and transmission lines exam for a fourth semester engineering course. It includes 8 questions covering topics like Maxwell's equations, electric and magnetic fields, wave propagation, transmission lines, and waveguides. Students were instructed to answer any 5 of the 8 questions in the exam, which would be graded out of 80 total marks. The questions involve both theoretical concepts and calculations.
Chiral Transverse Electromagnetic Waves with E H i to study Circular Dichroisminventionjournals
It is shown that a general class of transverse electromagnetic waves with E H i can be obtained. These waves possess magnetic helicity and chirality. This condition is important to excitation of nano molecules when it is necessary consider a global factor as the product of the parameter of optical chirality with the inherent enantiometric properties of the material. The absorption of a chiral molecule in a chiral electromagnetic field is proportional to the imaginary part of mixed electric-magnetic dipole polarizability of the molecules, which determines the circular dichroism, CD of molecules. Chiral fields with different handedness can be used to obtain basic information from the interaction fields-molecules with high optical chirality, having chiral hot spots in nodes of stationary waves with parallel components of electric and magnetic fields.
Chapter3 introduction to the quantum theory of solidsK. M.
The document provides an introduction to the quantum theory of solids, including:
1. How allowed and forbidden energy bands form in solids due to the interaction of atomic electron wave functions when atoms are brought close together in a crystal lattice.
2. Electrical conduction in solids is explained using the concept of electron effective mass and holes, within the framework of the energy band model.
3. The Kronig-Penney model is used to quantitatively relate the energy, wave number, and periodic potential within a solid, resulting in allowed and forbidden energy bands.
CURRENT ELECTRICITY/ELECTROSTATICS FOR CBSE FREE REVISION SHEET BY ANURAG TY...ANURAG TYAGI CLASSES (ATC)
This document contains a sample physics exam paper on electrostatics for Class 12. It has questions ranging from 1 to 5 marks testing various concepts related to electric field, electric potential, electric dipoles, capacitors and electrostatics. The paper tests calculations of electric field, potential, capacitance and energy for different electrostatic configurations. It also has questions on Gauss's law, parallel plate capacitors, charging of capacitors, Van de Graaff generator and motion of electric dipoles in uniform electric fields.
This document contains 29 multi-part physics problems related to electric fields, electric potential, and capacitance. The problems cover a range of concepts including Gauss's law, electric fields due to various charge distributions, capacitors in series and parallel, energy stored in capacitors, and more. Detailed calculations and explanations are required to fully solve each problem.
This document contains a sample paper for Class 12 Physics with 35 multiple choice questions covering various topics in Physics. The questions are divided into 5 sections - Section A contains 1 mark questions, Section B contains 2 mark questions, Section C contains 3 mark questions, Section D contains 5 mark questions and Section E contains case studies and applications of concepts in Physics. The sample paper tests conceptual understanding, problem solving abilities and application of concepts to real-life situations.
(1) Biot-Savart's law states that the magnetic field intensity produced at a point P by a differential current element is proportional to the product of the current and the sine of the angle between the element and the line joining P to the element, and inversely proportional to the square of the distance between P and the element.
(2) The magnetic field intensity due to different current distributions such as line, surface, and volume currents can be determined using Biot-Savart's law.
(3) Example problems demonstrate applying Biot-Savart's law to calculate the magnetic field intensity at a point due to straight and semi-infinite current filaments.
(i) The document provides general instructions for a physics exam containing 30 questions. It specifies the number and type of questions, the marks allocated to each question type, and exam guidelines.
(ii) The questions cover a range of physics topics including mechanics, properties of matter, heat and thermodynamics, waves, electricity and magnetism, optics, modern physics, electronics, and semiconductor devices.
(iii) Detailed information and diagrams are provided for each question to assess students' understanding of fundamental concepts and their ability to apply principles to solve problems.
This document provides a sample question paper for Class XII Physics with instructions and questions. It contains 5 sections (A-E) with a total of 26 multiple choice and numerical questions worth 70 marks. Section A has 5 one-mark questions, Section B has 5 two-mark questions, Section C has 12 three-mark questions, Section D has 1 four-mark question and Section E has 3 five-mark questions. The document also provides important physical constants and formulas required to solve the questions.
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...University of Maribor
Slides from talk presenting:
Aleš Zamuda: Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapter and Networking.
Presentation at IcETRAN 2024 session:
"Inter-Society Networking Panel GRSS/MTT-S/CIS
Panel Session: Promoting Connection and Cooperation"
IEEE Slovenia GRSS
IEEE Serbia and Montenegro MTT-S
IEEE Slovenia CIS
11TH INTERNATIONAL CONFERENCE ON ELECTRICAL, ELECTRONIC AND COMPUTING ENGINEERING
3-6 June 2024, Niš, Serbia
Batteries -Introduction – Types of Batteries – discharging and charging of battery - characteristics of battery –battery rating- various tests on battery- – Primary battery: silver button cell- Secondary battery :Ni-Cd battery-modern battery: lithium ion battery-maintenance of batteries-choices of batteries for electric vehicle applications.
Fuel Cells: Introduction- importance and classification of fuel cells - description, principle, components, applications of fuel cells: H2-O2 fuel cell, alkaline fuel cell, molten carbonate fuel cell and direct methanol fuel cells.
Introduction- e - waste – definition - sources of e-waste– hazardous substances in e-waste - effects of e-waste on environment and human health- need for e-waste management– e-waste handling rules - waste minimization techniques for managing e-waste – recycling of e-waste - disposal treatment methods of e- waste – mechanism of extraction of precious metal from leaching solution-global Scenario of E-waste – E-waste in India- case studies.
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEMHODECEDSIET
Time Division Multiplexing (TDM) is a method of transmitting multiple signals over a single communication channel by dividing the signal into many segments, each having a very short duration of time. These time slots are then allocated to different data streams, allowing multiple signals to share the same transmission medium efficiently. TDM is widely used in telecommunications and data communication systems.
### How TDM Works
1. **Time Slots Allocation**: The core principle of TDM is to assign distinct time slots to each signal. During each time slot, the respective signal is transmitted, and then the process repeats cyclically. For example, if there are four signals to be transmitted, the TDM cycle will divide time into four slots, each assigned to one signal.
2. **Synchronization**: Synchronization is crucial in TDM systems to ensure that the signals are correctly aligned with their respective time slots. Both the transmitter and receiver must be synchronized to avoid any overlap or loss of data. This synchronization is typically maintained by a clock signal that ensures time slots are accurately aligned.
3. **Frame Structure**: TDM data is organized into frames, where each frame consists of a set of time slots. Each frame is repeated at regular intervals, ensuring continuous transmission of data streams. The frame structure helps in managing the data streams and maintaining the synchronization between the transmitter and receiver.
4. **Multiplexer and Demultiplexer**: At the transmitting end, a multiplexer combines multiple input signals into a single composite signal by assigning each signal to a specific time slot. At the receiving end, a demultiplexer separates the composite signal back into individual signals based on their respective time slots.
### Types of TDM
1. **Synchronous TDM**: In synchronous TDM, time slots are pre-assigned to each signal, regardless of whether the signal has data to transmit or not. This can lead to inefficiencies if some time slots remain empty due to the absence of data.
2. **Asynchronous TDM (or Statistical TDM)**: Asynchronous TDM addresses the inefficiencies of synchronous TDM by allocating time slots dynamically based on the presence of data. Time slots are assigned only when there is data to transmit, which optimizes the use of the communication channel.
### Applications of TDM
- **Telecommunications**: TDM is extensively used in telecommunication systems, such as in T1 and E1 lines, where multiple telephone calls are transmitted over a single line by assigning each call to a specific time slot.
- **Digital Audio and Video Broadcasting**: TDM is used in broadcasting systems to transmit multiple audio or video streams over a single channel, ensuring efficient use of bandwidth.
- **Computer Networks**: TDM is used in network protocols and systems to manage the transmission of data from multiple sources over a single network medium.
### Advantages of TDM
- **Efficient Use of Bandwidth**: TDM all
Embedded machine learning-based road conditions and driving behavior monitoringIJECEIAES
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Emf unit wise au part b
1. UNIT WISE ANNA UNIVERSITY QUESTIONS
PART – B QUESTIONS
Faculty Name: Mr. K.SIVAKUMAR Branch & Sem: ECE & IV
Subject Name: Electromagnetic Fields Code:EC8451
No. Unit-I:: STATIC ELECTRIC FIELD
1
2
i. Given the two points A(x=2,y=3,z=-1) and B(r=4,𝜃 = 250,∅ = 120𝑜find the spherical co-
ordinates of A and Cartesian Co- ordinates of B
ii. Find ∇𝑥𝐻
⃗
⃗ , if 𝐻
̅ = (2𝜌𝑐𝑜𝑠∅𝑎𝜌
̅̅̅ − 4𝜌𝑠𝑖𝑛∅𝑎∅
̅̅̅ + 3𝑎𝑧
̅̅̅)
i. A circular disc of radius ‘a’ m is charged uniformly with a charge of σ c/𝑚2. Find the
electric field intensity at a point ‘h’ meter from disc along its axis.
ii. If 𝑉 = [2𝑥2𝑦 + 20𝑧 −
4
𝑥2+𝑦2
] volts, find E and D at 𝑃(6, −2.5,3).
April
2010
1
2
(i) Find the total electric field at the origin due to 10−8 C charge located at 𝑃 (0, 4,4) m and a -
0.5×10−8 C charge at P (4, 0, 2) m.
(ii) Derive an expression for the electric field intensity at any point due to a uniformly charged
sheet with density ρ𝑠 c/𝑚2.
(i) Point charges Q and –Q are located at (0,0,
𝑑
2
) and (0,0,-
𝑑
2
). show that the potential at a
point (r,θ,φ) is inversely proportional to r2
noting that r>>d.
(ii) Given a field E= 𝐸 =
−6𝑦
𝑥2
𝑎𝑥 +
6
𝑥
𝑎𝑦 + 5𝑎𝑧 V/m, find the potential difference VAB between A(-
7,2,1) and B(4,1,2).
April
2011
1
2
State and explain the boundary conditions of electric field at dielectric and conductor.
Deduce an expression for the capacitance of a parallel plate capacitor with two dielectrics of
relative permittivity 𝜀1 and 𝜀2 respectively interposed between the plates. April
2012
1
2
Derive an expression for the electric field due to the straight and infinitely uniformed charged
wire of length ‘L’ meters and with a charge density of +𝜌 𝐶/𝑚 at a point P which lies along
perpendicular bisector of wire.
i. A uniform line charge 𝜌𝐿=25𝑁𝑐/𝑚 lies on the 𝑥 = 3𝑚 and 𝑦 = 4𝑚 in the free space. Find the
electric field intensity at a point (2,3 𝑎𝑛𝑑 15) m.
ii. Given the potential 𝑉 = 10𝑠𝑖𝑛𝜃𝑐𝑜𝑠𝜑/𝑟2 find the electric flux density D at (2,𝜋/2,0).
April
2013
2. 1
2
(i) Find the electric field intensity at point P located at (0,0,h)m due to surface charge density σ
c/𝑚2uniformly distributed over circular disc r ≤ a, z=0m.
(ii) Determine the divergence and curl of the given field F=30𝑎𝑥+2xy𝑎𝑦+5x𝑧2𝑎𝑧 at (1,-1, 0.2) and
hence state the nature of field.
(i) Derive the expression for potential due to an electric dipole at any point P. Also find the
electric field intensity at the same point.
(ii) Two point charges, 1.5nC at (0, 0, 0.1) and -1.5nC at (0, 0, -0.1) are in free space. Treat the
two charges as a dipole at the origin and find the potential at point P (0.3, 0, 0.4)
Dec2010
1
2
(i) Assume a straight line charge extending along the z-axis in a cylindrical Co-ordinate system
from −∞ 𝑡𝑜 ∞. Determine the electric field intensity 𝐸
̅ at every point resulting from a uniform line
charge density 𝜌𝐿 𝐶/𝑚.
(ii) Consider an infinite uniform line charge of 5𝑛𝐶/𝑚 parallel to z-axis at𝑥 = 4,𝑦 = 6. Find the
electric field intensity at the point 𝑃(0,0, 5) in free space.
(i) The flux density within the cylindrical volume bounded by r=2m, z=0 and z=5m is given by
𝐷
̅ = 30𝑒−𝑟𝑎𝑟
̅̅
̅̅ -2z𝑎𝑧
̅̅̅ C/𝑚2 . What is the total outward flux crossing the surface of the cylinder.
(ii) State and prove Gauss law for electric field. Also give the differential form of Gauss law.
Dec2011
1
2
(i)find the intensity at a point P located at (0,0,h)m due to charge of surface charge density
(ii) Determine the divergence and curl of the given field F=30ax + 2xyay +5xz2
az at a(1,1,-0.2) and
hence state the nature of the field.
(i) Point charges Q and –Q are located at (0,0,
𝑑
2
) and (0,0,-
𝑑
2
) show that the potential at a point
(r,θ,φ) is inversely proportional to r2
noting that r>>d.
(ii) Given a field E= 𝐸 =
−6𝑦
𝑥2
𝑎𝑥 +
6
𝑥
𝑎𝑦 + 5𝑎𝑧 V/m, find the potential difference VAB between A(-
7,2,1) and B(4,1,2).
Dec2012
1
2
Apply Gauss law to find charge enclosed in hollow sphere whose surface is uniformly charged.
Derive the equation for potential due to a system of point charge.
State and prove stoke’s theorem and divergence theorem.
Dec2013
State and explain the fundamental theorems of divergence and curl
May
2014
No. Unit-II:: CONDUCTORS AND DIELECTRICS
3. 1 (i) Derive Poisson’s and Laplace’s equation.
(ii) A parallel plate capacitor has an area of 0.8 m2, separation of 0.1 mm with a dielectric for
which 1000=𝜀𝑟 and a field of 610 V/m. Calculate C and V.
April
2010
1 (i) Determine whether or not the following potential fields satisfy the Laplace’s equation.
I. V= x2
– y2
+ z2
II. V= r cosφ + z
III. V= r cos θ + 𝜑
(ii) Solve the Laplace’s equation for the potential field in the homogenous region between the
two concentric conducting spheres with radius ‘a’ and ‘b’ where b>a , V=0 and r=b and V=Vo at
r=a. Find the capacitance between the two concentric spheres.
April
2011
1
2
State and derive Poisson’s equation and Laplace equation.
Obtain the expression for energy stored in magnetic field and also derive an expression for
magnetic energy density.
April
2012
1
2
Derive the boundary condition of normal and tangential components of electric field at an
interface of two media with different dielectrics.
April
2013
1
2
(i) Write the Poisson’s and Laplace’s equation.
(ii) Discuss the magnetic boundary conditions.
(i) To concentric metal spherical shells of radii a and b are separated by weakly conducting
material of conductivity σ. If they are maintained at a potential difference V. What current flows
from one to the other? What is the resistance between the shells? Find the resistance if b>>a.
April
2014
1 (i) Write down the Poisson’s and Laplace’s equation. State their significance in electrostatic
problems.
(ii) Two parallel conducting plates are separated by distance ‘d’ apart and filled with dielectric
medium having εr as relative permittivity. Using Laplace equation, derive an expression for
capacitance per unit length of parallel plate capacitor, if it is connected to a DC source of V volts.
Dec2010
1
2
(i) A metallic sphere of radius 10 cm has a surface charge density of 10 nC/𝑚2 . Calculate the
energy stored in the system.
(ii) State and explain the electric boundary conditions between two dielectrics with
permittivity𝜀1 𝑎𝑛𝑑 𝜀2.
(i) Derive the expression for continuity equation of current in differential form. 11
Dec2011
4. 1 (i) Determine whether or not the following potential fields satisfy the Laplace’s equation.
V= x2
– y2
+ z2
V= r cosφ + z
V= r cos θ + 𝜑
(ii) Solve the Laplace’s equation for the potential field in the homogenous region between the two
concentric conducting spheres with radius ‘a’ and ‘b’ where b>a V=0 and r=b and V=Vo at r=a.
Find the capacitance between the two concentric spheres.
Dec2012
1
2
Derive the boundary relations for
(i) E-field
(ii) H-field.
A composite conductor of cylindrical cross section used in overhead line is made of steel inner
wire of radius “a” and an annular outer conductor of radius “b”, the two having electrical contact.
Evaluate the H-field within the conductors and the internal self-inductance per unit length of the
conductor.
Dec2013
No. Unit-III:: STATIC MAGNETIC FIELDS
1 (i) State and explain Ampere’s circuital law. (8)
(ii) Find an expression for H at any point due to a long, straight conductor carrying I amperes.
April
2010
1 (i) Using Biot-Savart’s law, derive the magnetic field intensity on the axis of a circular loop
carrying a steady current I. (ii) Using
Ampere’s circuital law, derive the magnetic field intensity due to a co-axial cable carrying a
steady current I. .
April
2011
1 State and explain Ampere’s Circuital law. Show that the magnetic field at the end of a long
solenoid is one half that at the centre.
April
2012
1 (i) Derive an expression for force between two current carrying conductors.
(ii) An iron ring with a cross sectional area of 3cm square and mean circumference of 15cm is
wound with 250 turns wire carrying a current of 0.3A. The relative permeability of the ring is 1500.
Calculate the flux established in the ring.
April
2013
1 (i) Derive the expression for magnetic field intensity due to a linear conductor of infinite length
carrying current I at a distant point P. Assume R to be the distance between the conductor and
point P. Use Biot-Savart’s law. (8)
(ii) Derive the expression for magnetic field intensity on the axis of circular loop of radius ‘a’
carrying current I.
Dec2010
5. 1
2
(i) Find the magnetic field intensity due to a finite wire of carrying a current I and hence deduce
an expression for magnetic field intensity at the centre of a square loop.
(ii) A circular loop located on 𝑥2 + 𝑦2= 4, z=0 carries a direct current of 7A along 𝑎𝜑
̂. Find the
magnetic field intensity at (0, 0, -5).
(i) Using Ampere’s circuital law determine the magnetic field intensity due to a infinite long wire
carrying a current I.
Dec2011
1 (i) Derive an expression for magnetic field intensity due to a linear conductor of infinite length
carrying current I at a distance point P. Assume R to be the distance between conductor and
point P. Use Biot-savart’s l
(ii) Derive an expression for magnetic field intensity on the axis of a circular loop of radius ‘a’
carrying current I.
Dec2012
1
2
Derive the expression for Biot-Savart law. Derive a equation for torque on a current carrying loop.
Find H-field on the axis of a ring carrying a constant current. Highlight the similarities between
Biot-Savart law and coulomb’s law
Dec2013
No. Unit-IV:: MAGNETIC FORCES AND MATERIALS
1
2
(i) Find the maximum torque on an 85 turns, rectangular coil with dimension 0.2×0.3 m, carrying
a current of 5 Amps in a field B=6.5T
(ii) Derive an expression for Magnetic vector potential
(i) Derive an expression for the inductance of solenoid.
(ii) Derive the boundary conditions at an interface between two magnetic Medias.
April
2010
1 (i) Derive an expression for a torque on a closed rectangular loop carrying current.
(ii) In cylindrical co-ordinates, 𝐴̅ = 50𝜌2𝑎𝑧
̅̅̅ Wb/m is a vector magnetic potential in a certain region
of free space. Find the magnetic field intensity (H), magnetic flux density (B) and current density
(J).
April
2011
1
2
A solenoid with radius of 2cms is wound with 20 turns per cm and carries 10 mA. Find H at the
centre of the solenoid if its length is 10 cm. If all the turns of the solenoid were compressed to
make a ring of radius 2cms, what would be H at the centre of the ring?
Obtain the expression for energy stored in magnetic field and also derive an expression for
magnetic energy density.
April
2012
6. 1
2
(i) Obtain the expressions for scalar and vector magnetic potentials (8)
(ii) The vector magnetic potential 𝐴 =(3y-3) 𝑎 𝑥 +2xy𝑎 𝑦 Wb/m in a certain region of free space
1. Show that ∇.𝐴 =0.
2. Find the Magnetic flux density 𝐵
⃗ and the Magnetic field intensity 𝐻
⃗
⃗ at
Point P(2, -1, 3)
(i) Derive an expression for the inductance of toroidal coil carrying current.
(ii) A solenoid is 50cm long, 2cm in diameter and it contains 1500 turns. The cylindrical core has
a diameter of 2cm and a relative permeability of 75. The coil is co axial with a second solenoid,
also 50cm long, but 3cm diameter and 1200 turns. Calculate the L for inner and outer solenoid.
Dec2010
1 (i) Derive an expression for inductance of a solenoid with N turns and l metre length carrying a
current a current of I amperes.
(ii) An iron ring of relative permeability 100 is wound uniformly with two coils of 100 and 400 turns
of wire. The cross section of the ring is 4𝑐𝑚2 . The mean circumference is 50 cm. Calculate
The self inductance of each of the two coils 1.The mutual inductance 2.Total inductance when
the coils are connected in series with flux in the same sense.3.Total inductance when the coils
are connected in series with flux in the opposite sense.
Dec2011
1 (i) derive the inductance of the toroidal coil with N turns, carrying current I and the radius of the
toroid R.
(ii) Considering a toroidal coil, derive an expression for energy density.
Dec2012
No. Unit-V:: TIME VARYING FIELDS AND MAXWELL’S EQUATIONS
1
2
Derive the Maxwell’s equations derived from Faradays law in both integral and point form.
Derive modified form of Ampere’s circuital law in Integral and differential Forms.
April
2010
1
2
(i) State and prove Poynting theorem.
(ii) Derive the expression for total power flow in co-axial cable.
(i) From the Maxwell’s equation, derive the electromagnetic wave equation in conducting medium
for E and H fields.
(ii) Calculate the attenuation constant and
April
2011
7. 1
2
3
4
5
State and derive the Maxwell’s equation for free space in integral and point forms for time varying
fields.
State and derive the Maxwell’s equation for free space in integral and point forms for time varying
fields.
State and prove boundary conditions by the application of Maxwell’s equations.
Find the amplitude of the displacement current density inside a capacitor where 𝜀𝑟 = 600 and
D= 3× 10−6sin(6 × 106 𝑡 − 0.3464 𝑦)𝑢𝑧
̅̅̅c/𝑚2.
Obtain standing wave equation when electromagnetic wave incident normally on a perfect
conductor.
April
2012
1
2
With necessary explanations, derive Maxwell’s equation in differential and integral forms.
(i)The conduction current flowing through a wire with conductivity σ=3x107
s/m and the relative
permeability εr=1 is given by Ic=3sinωt(mA). If ω=108
rad/sec. Find the displacement current.
(ii) An electric field in a medium which is source free is given by E=1.5cos (108
t-βz)ᾶx V/m. Find
B,H and D. Assume εr=1,µr=1,σ=0.
April
2013
1
2
(i) Explain Ampere’s circuital law.
(ii) Derive Poynting’s theorem.
(i) Describe the Maxwell’s equation in differential and integral forms.
April
2014
1
2
(i) Explain Ampere’s circuital law.
(ii) Derive Poynting’s theorem.
(i) Describe the Maxwell’s equation in differential and integral forms.
Dec2010
1
2
3
4
5
Give the physical interpretation of Maxwell’s first and second equation.
State and prove Poynting theorem.
In free space, 𝐸
̅ = 50cos(𝜔𝑡 − 𝛽𝑧)𝑎𝑧
̅̅̅ V/m. Find the average power crossing a circular area of
radius 2.5 m in the plane z=0. Assume 𝐸𝑚 = 𝐻𝑚𝑛𝑜 and 𝑛𝑜 = 120𝜋.
From the Maxwell’s equation, derive the electromagnetic wave equation in conducting medium
for E and H fields.
The electric field associated with a plane wave travelling in a perfect dielectric medium is given
by 𝐸𝑥(𝑧,𝑡) = 10cos[2𝜋 × 107 − 0.1𝜋 𝑥] V/m. Find the velocity of propagation and intrinsic
impedance. Assume 𝜇 =𝜇𝑜 .
Dec2011
8. 1
2
(i) State and prove Poynting theorem.
(ii) Derive the expression for total power flow in co-axial cable.
(i) From the Maxwell’s equation, derive the electromagnetic wave equation in conducting medium
for E and H fields.
(ii) Calculate the attenuation constant and phase constant for the uniform plane wave with the
frequency of 100GHz in a conducting medium for which 𝜇𝑟 = 1 and 𝜎 = 58 × 106 𝑆/𝑚 . (6)
Dec2012
1
2
State and prove pointing theorem. Write the expression for instantaneous average and complex
Poynting vector.
Write the inconsistency of ampere’s law. Is it possible to construct a generator of EMF which is
constant and does not vary with time by using EM induction principle? Explain.
Derive the wave equations from Maxwell’s equations. Give the illustration for plane waves in
good conductors.
Dec2013