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# BEE402 ELECTROMAGNETIC FIELDS

OBJECTIVE: On completing the course, the students will be able to apply the laws of electrostatic and electromagnetic in electrical machine theory and power line parameter calculations.

## 1.ELECTROSTATICS – FUNDAMENTALS

Electric charges - Coulomb's Law - Electric Field Intensity - Linear, Surface and Volume charge density - Gauss Law and its application - Electric Scalar Potentials and potential difference - Potentials due to uniformly charged disc and uniformly charged line, potentials between two coaxial cylinders and between two conducting spherical shells - Electric field lines and equipotential contours - Potential gradient and electric field due to electric dipoles - Conservative nature of electric field.

## 2.DIELECTRICS & CAPACITANCE

Dielectric boundaries - Capacitance - Capacitance of system of conductors - Overhead lines and underground cables - Methods of images and its application - Electrostatic energy and energy density -Force between charged conductors - Dielectric strength and breakdown. Divergence and curl of vector fields - Divergence theorem - Stoke's theorem - Solutions of Electrostatic problems - Examples on Laplace's equation.

## 3.MAGNETIC FIELDS - FUNDAMENTALS

Magnetic field intensity and magnetic flux density - Biot Savarat law - Force between current carrying wires. Torque on closed circuits - Ampere's law - Magnetic scalar and vector potentials - Boundary conditions at magnetic surfaces.

## 4.MAGNETIC CIRCUITS AND INDUCTANCE

Faraday's law of electromagnetic induction - Inductor and inductance - Inductance of solenoids, toroids, transmission lines and cables - Mutual inductance - Inductors in series and parallel - Energy stored in magnetic field - Pull of an electromagnet - magnetic circuits.

## 5.ELECTRO MAGNETIC WAVES

Maxwell’s equations - Equation of continuity - Displacement current - Maxwell’s equation in point and integral forms - The wave equations - Uniform plane waves - Relation between electric and magnetic field intensities in a uniform plane wave - Poynting vector - Poynting theorem.