Electric field intensity due to a charged ring and Electric flux density
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The document discusses electrostatics and is divided into two sections. The first section is about the electric field intensity due to a charged ring. The second section defines electric flux and electric flux density, explaining that electric flux density D is measured in coulombs per square meter and represents the number of electric flux lines crossing a normal surface area. It provides a figure showing electric flux in the region between charged concentric spheres. The document is from a professor of electrical and computer engineering.
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3. At a conducting boundary, the electric and magnetic fields inside the conductor are zero. Therefore, there is no transmission and the incident wave is entirely reflected, forming a standing wave in the first medium. Expressions are given for the electric and magnetic fields of this standing wave.
UNIT IV - WAVE EQUATIONS AND THEIR SOLUTION
1) The document discusses electromagnetic waves and their propagation through free space. Maxwell's equations are used to derive the wave equations for the electric and magnetic fields in free space.
2) The wave equations show that the electric and magnetic fields each satisfy the homogenous vector wave equation. This indicates that electromagnetic waves propagate as transverse waves in free space.
3) Solving the homogeneous vector Helmholtz equations provides a description of electromagnetic wave motion in free space.
TIME-VARYING FIELDS AND MAXWELL's EQUATIONS -Unit 4 -Notes
- Time varying electromagnetic fields are represented as functions of both space (x,y,z) and time (t). They are produced by accelerated charges or time varying currents.
- Static electric fields are produced by stationary charges, static magnetic fields by steady currents. Time varying currents produce electromagnetic fields or waves.
- Faraday's law of induction states that a time-varying magnetic field produces an induced electromotive force (emf) in a closed circuit. This emf is equal to the negative of the rate of change of the magnetic flux through the circuit.
TIME-VARYING FIELDS AND MAXWELL's EQUATIONS -Unit 4 - two marks
1. The document contains 28 questions and answers related to time varying fields and Maxwell's equations. It covers topics like Faraday's law, Lenz's law, motional emf, transformer emf, Maxwell's equations in differential and integral form, constitutive relations, boundary conditions, and vector wave equations.
2. Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents. The document provides the equations of Maxwell's equations in various forms for different materials and conditions like free space, good conductors, and harmonically varying fields.
3. Key concepts covered include displacement current, retarded potentials, phasors, and the wave nature of electromagnetic fields. Maxwell
TIME-VARYING FIELDS AND MAXWELL's EQUATIONS -Unit4- problems
1) A 200-turn coil has an induced emf of -3.8 volts at t=10 seconds when the flux through each turn is t(t-1) mwb.
2) A conductor moving at 100 m/s perpendicular to a 1 Tesla magnetic field induces an emf of 100 volts.
3) A parallel plate capacitor with a 10 cm^2 area, 5 mm separation, and 10 sin(100πt) voltage applied has a displacement current of 5.56×10^-9 cos(100πt) amps.
Unit-3:Magnetostatics
This document discusses inductance and inductors. It defines inductance as the ratio of magnetic flux linkage to current through an inductor. Typical inductors include solenoids, toroids, and coaxial cables. The document then provides formulas for calculating the inductance of these different types of inductors based on their geometry and number of turns. It also defines mutual inductance as the magnetic flux linkage in one circuit due to current in another circuit.
Gauss law and its Applications
Gauss's law states that the total electric flux passing through any closed surface is equal to the total charge enclosed by that surface. The mathematical formulation of Gauss's law is given by the integral form, relating the electric flux to the enclosed charge. The differential or point form expresses Gauss's law in terms of the divergence of the electric flux density being equal to the enclosed charge density. Gauss's law can be used to calculate the electric field intensity due to various charge distributions, such as a line charge or an infinite sheet of charge.
Unit 2 Electrostatics
This document provides an overview of electrostatics. It defines key concepts like electric field, electric flux density, Gauss's law, capacitance, and more. Applications of electrostatics include electric power transmission, X-ray machines, solid-state electronics, medical devices, industrial processes, and agriculture. Coulomb's law describes the electric force between point charges. Gauss's law relates the electric flux through a closed surface to the enclosed charge. Capacitance is the ratio of stored charge on conductors to the potential difference between them.
Electromagnetic fields: Review of vector algebra
This document provides an introduction to electromagnetic fields and vector algebra concepts. It begins with an overview of vector algebra topics like vector addition, multiplication of vectors by scalars, and dot and cross products. It then discusses orthogonal coordinate systems, focusing on Cartesian coordinates. The document provides examples and solved problems for various vector algebra concepts. It aims to review key vector algebra that will be used as a mathematical tool for electromagnetic concepts.
Electromagnetic fields:Units and constants
This document discusses the topics of electromagnetic fields and the fundamental units and constants used in electromagnetics. It defines electromagnetics as the study of electric and magnetic phenomena caused by electric charges at rest and in motion. Both positive and negative charges produce electric fields, while moving charges create magnetic fields. It also introduces four fundamental SI units, permeability and permittivity of free space as universal constants, and the velocity of electromagnetic waves in free space.
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- 2. Electric Field due to charged ring
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