State and prove divergence theorem. Also discuss its applications. Determine the charge density of the field <img src='./qimages/8765-1b.jpg'> in spherical co-ordinates.

2.(a) State and explain Ampere's Circuital Law. Describe any two applications of Ampere's circuital law.

(b) Derive the expressions for energy stored and energy density in a magnetic field.

3.(a) An open wire transmission line has 4.5 kohm, L 0·15 mH, G =60 mmho, C 12 nF. Operating frequency MHz and the length of the transmission line is 300 m. Find propagation constant(r), characteristic impedance and velocity of propagation (vp).
Explain Standing-Wave Ratio and Reflection coefficient with reference to EM wave.

4.(a) Define the term skin depth and explain its physical significance. State and explain Faraday's laws of electromagnetic induction. Also derive its expression in integral form.

5.(a) Explain the physical significance of curl, gradient and divergence and also if <img src='./qimages/8765-5a.jpg'>

calculate V x F

(b) Derive the Maxwell's equations in integral form.

6.(a) Derive the magnetic boundary conditions at magnetic surfaces.
A square of edge "a" carries a current I. Show that the value of B at the centre is given by <img src='./qimages/8765-6b.jpg'>

7. Write short notes on any two of the following:

(a)Electric Flux

(b)Stokes' Theorem

c) Laplace and Poisson's Equations Reflection Coefficient