Electromagnetic Theory (EX-504 (B)) - Important Questions

State and prove the Divergence theorem.

Explain the Cartesian and cylindrical coordinate systems with suitable examples.

Derive the expressions for electric potential and electric field intensity due to an electric dipole. Also write Laplace's and Poisson's equations.

Write and explain the equation of continuity for current density.

State Biot-Savart's law and derive the expression for magnetic field intensity due to a straight current-carrying filament/conductor.

Explain Ampere's circuital law including its point form and its applications.

Explain Maxwell's equations for time-varying fields in differential and integral form.

Define displacement current and discuss its applications.

Describe the properties of electro-magnetic waves.

Explain the behaviour of uniform plane waves in dielectrics versus in conductors.

Derive the expression for electric field intensity due to an infinite line charge.

Write the boundary conditions for electric field at dielectric interface and discuss capacitances for various types of capacitors.

Define magnetic flux, magnetic flux density and magnetic field intensity and derive the relation between them.

Describe Faraday's law of electromagnetic induction with a suitable diagram.

Write short notes on any two of the following: (i) Vector magnetic potential and its properties (ii) Poynting vector theorem (iii) Polarization of uniform plane waves (iv) Transformer and motional emfs.