# electromagnetic waves

Semester : V

Course Code : 18EC55

CIE Marks : 40 SEE Marks : 60

Module – 1

Printed Notes

Module – 2

Printed Notes

Module – 3

Printed Notes

Module – 4

Printed Notes

Module – 5

Printed Notes

## ELECTROMAGNETIC WAVES

18EC55

#### SYLLABUS

### Module-1

Revision of Vector Calculus – **(Text 1: Chapter 1)Coulomb’s Law, Electric Field Intensity and Flux density:** Experimental law of Coulomb, Electric field intensity, Field due to continuous volume charge distribution, Field of a line charge, Field due to Sheet of charge, Electric flux density, Numerical Problems.

**(Text: Chapter 2.1 to 2.5, 3.1)**

### Module-2

**Gauss’s law and Divergence:** Gauss ‘law, Application of Gauss’ law to point charge, line charge, Surface charge and volume charge, Point (differential) form of Gauss law, Divergence. Maxwell‘s First equation (Electrostatics), Vector Operator ▼ and divergence theorem, Numerical Problems **(Text: Chapter 3.2 to 3.7).Energy, Potential and Conductors:** Energy expended or work done in moving a point charge in an electric field, The line integral, Definition of potential difference and potential, The potential field of a point charge, Potential gradient, Numerical Problems

**(Text: Chapter 4.1 to 4.4 and 4.6).**Current and Current density, Continuity of current.

**(Text: Chapter 5.1, 5.2)**

### Module-3

**Poisson’s and Laplace’s Equations:** Derivation of Poisson‘s and Laplace‘s Equations, Uniqueness theorem, Examples of the solution of Laplace‘s equation, Numerical problems on Laplace equation **(Text: Chapter 7.1 to 7.3)**

**Steady Magnetic Field:**Biot-Savart Law, Ampere‘s circuital law, Curl, Stokes‘ theorem, Magnetic flux and magnetic flux density, Basic concepts Scalar and Vector Magnetic Potentials, Numerical problems.

**(Text: Chapter 8.1 to 8.6)**

### Module-4

**Magnetic Forces:** Force on a moving charge, differential current elements, Force between differential current elements, Numerical problems** (Text: Chapter 9.1 to 9.3).****Magnetic Materials:** Magnetization and permeability, Magnetic boundary conditions, The magnetic circuit, Potential energy and forces on magnetic materials, Inductance and mutual reactance, Numerical problems **(Text: Chapter 9.6 to 9.7)**.**Faraday’ law of Electromagnetic Induction** –Integral form and Point form, Numerical problems **(Text: Chapter 10.1)**

### Module-5

**Maxwell’s equations** Continuity equation, Inconsistency of Ampere’s law with continuity equation, displacement current, Conduction current, Derivation of Maxwell‘s equations in point form, and integral form, Maxwell’s equations for different media, Numerical problems **(Text: Chapter 10.2 to 10.4)**

**Uniform Plane Wave:**Plane-wave, Uniform plane wave, Derivation of plane wave equations from Maxwell’s equations, Solution of the wave equation for perfect dielectric, Relation between E and H, Wave propagation in free space, Solution of the wave equation for sinusoidal excitation, wave propagation in any conducting media (γ, α, β, η) and good conductors, Skin effect or Depth of penetration, Poynting‘s theorem and wave power, Numerical problems.

**(Text: Chapter 12.1 to 12.4)**