ELECTROMAGNETIC THEORY (EC-504 (A)) - Important Questions

State Coulomb's law in vector form. Define electric field intensity and electric flux density and derive the relation between D and E.

Explain Gauss's law and derive the electric field due to an infinite line charge.

Define divergence and curl of a vector field and explain their physical significance.

State, derive and explain the continuity equation for current in integral and differential (point) form, including the steady-current case.

Derive the force (per unit length) between two parallel infinitely long current-carrying wires, including its significance in defining the ampere.

Verify Stokes theorem numerically for a given vector field over a given surface and bounding contour.

Define magnetic flux density, magnetic field intensity and magnetization vector and derive the relation between them, B = mu0(H+M).

Explain displacement current and derive Maxwell's correction to Ampere's circuital law for time-varying fields.

State and explain Faraday's law of electromagnetic induction and derive its integral and differential forms.

Derive Maxwell's equations in differential form and explain their significance.

Define the Poynting vector and state, derive and prove the Poynting theorem, explaining its physical significance for electromagnetic energy flow.

Derive the electromagnetic wave equation for a uniform plane wave in free space in time domain and explain the procedure for its solution.

Derive expressions for attenuation constant, phase constant and skin depth in a conducting medium.

For a plane wave in free space with given frequency and electric field amplitude, calculate phase velocity, wavelength, propagation constant and characteristic impedance.

Discuss propagation of uniform plane waves in a perfect (lossless) dielectric and derive expressions for propagation constant and electric and magnetic fields.

Derive the wave equation and propagation parameters (attenuation constant, phase constant) for wave propagation in a lossy dielectric medium.