Electromagnetic Field Theory Notes - EMTJharkhand Polytechnic 3rd Semester Electronic & Communication Engineering
CONTENT
1. STATIC ELECTRIC FIELD
Topics: Introduction to Co-ordinate System – Rectangular – Cylindrical and Spherical Co- ordinate System – Introduction to line, Surface and Volume Integrals – Definition of Curl, Divergence and Gradient – Meaning of Stokes theorem and Divergence theorem Coulomb’s Law in Vector Form – Definition of Electric Field Intensity – Principle of Superposition –Electric Field due to discrete charges – Electric field due to continuous charge distribution –Electric Field due to charges distributed uniformly on an infinite and finite line – Electric Field on the axis of a uniformly charged circular disc – Electric Field due to an infinite uniformly charged sheet. Electric Scalar Potential – Relationship between potential and electric field – Potential due to infinite uniformly charged line – Potential due to electrical dipole – Electric Flux Density –Gauss Law – Proof of Gauss Law – Applications.
2. STATIC MAGNETIC FIELD
Topics: The Biot-Savart Law in vector form – Magnetic Field intensity due to a finite and infinite wire carrying a current I – Magnetic field intensity on the axis of a circular and rectangular loop carrying a current I – Ampere’s circuital law and simple applications. Magnetic flux density – The Lorentz force equation for a moving charge . – Force on a wire carrying a current I placed in a magnetic field – Torque on a loop carrying a current I –Magnetic moment – Magnetic Vector potential
3. ELECTRIC AND MAGNETIC FIELDS IN MATERIALS
Topics: Poisson’s and Laplace’s equation – Electric Polarization-Nature of dielectric materials- Definition of Capacitance – Capacitance of various geometries using Laplace’s equation – Electrostatic energy and energy density – Boundary conditions for electric fields– Electric current – Current density – point form of ohm’s law – continuity equation for current. Definition of Inductance – Inductance of loops and solenoids – Definition of mutual inductance– simple examples. Energy density in magnetic fields– Nature of magnetic materials– magnetization and permeability– magnetic boundary conditions.
4. TIME VARYING ELECTRIC AND MAGNETIC FIELDS
Topics: Faraday’s law – Maxwell’s first Equation in integral form from Faraday’s Law –Equation expressed in point form. Displacement current – Ampere’s circuital law in integral form – Modified form of Ampere’s circuital law as Maxwell’s second equation in integral form – Equation expressed in point form. Maxwell’s four equations in integral form and differential form. Pointing theorem .Instantaneous Average and Complex Pointing Vector.
5. ELECTROMAGNETIC WAVE
Topics: Derivation of Wave Equation – Uniform Plane Waves – Maxwell’s equation – Wave equation – Plane waves in free space and in a homogenous material. Wave equation for a conducting medium – Plane waves in lossy dielectrics – Propagation in good conductors– Skin effect. Linear, Elliptical and circular polarization – Reflection of Plane Wave from a conductor – normal incidence – Reflection of Plane Waves by a perfect dielectric – normal and oblique incidence. Dependence on Polarization, Brewster angle.
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