**B.E. (Fourth semester) EXAMINATION, Dec, 2003**

**(Common for EC & EE. Engg.)**

**Electromagnetic theory**

**(EE/EC-405)**

Note: Attempt any five questions. All question carry equal marks.

1 (a) Give physical singifitions of curl, divergence and gradient of vector.

(b) State and explain divergence theorem.

2. (a) Obtain general solution of Laplace’s equation .

(b) State and prove Stake’s theorem

3. (a) State Faradays law and hence derive Maxwell’s equation in integral form.

(b) What is uniform plane wave? Show that for such a wave, the electric fields has no component

Along the directions of propagation.

4 (a) what do you mean by displacement current? Give it signification.

(b) Proved that the intrinsic impedance Offered by free space is 120 π.

5 (a) State Maxwell’s equation in differential from and explain their physical signification.

(b) Driven an expression for the potential at a point outside a hollow sphere having a uniform charge

density.

6 (a) State and prove the boundary conditions to be satisfied by electric filed.

(b) Find the magnetic vector potential at points remodel from short length wire carrying an

alternative current.

7 (a) Prove that the maximum effective aperture of a linear half wave antenna is given by 0.13 (wave

length) ^{2}.

(b) Explain the following:

(i) Magnetic vector potential (ii) Skin depth

8 Write short notes of any three of the following:

(i) Ampere’s law (ii) Pointing vector (iii) Reflection of uniform plain waves

(iv) Continuity equation.