1(a) What is the basic difference
between circuit and field theory? (6Marks)

(b) State and Prove Stokes’
theorem. (6 Marks)

(c) Discuss properties of
Dirac-Delta function. (4 Marks)

(d) Given f = xy + yz + xz. Find gradient at
(1,2,3) and the directional derivative of f
at some point in direction towards the point (3,4,4). (4 Marks)

2 (a) Lines of force and flux
can’t cross each other over a single point. Explain. (4 Marks)

(b) Discuss superposition
principle with reference to electric potential function. (4 Marks)

(c) Derive expression for field
inside parallel plate capacitor. (6 Marks)

(d) The point charges -2 nC, 4 nC
and 2 nC are located at (0,0,0), (0,0,1) and (1,0,0) respectively. Find the
enrgy in system. (6 Marks)

3 (a) Derive Ampere’s law in
differential vector form. (6 Marks)

(b) State and explain Biot-Savart
law. (4 Marks)

(c) Relate displacement current
and conduction current. (6 Marks)

(d) The toroidal core has r

_{0}= 20 cm and a circular cross section with a = 0.5 cm. If core is made of steel (m = 1000 m_{0}) and has a coil with 100 turns, calculate the amount of current that will produce a flux of 1 mWb in core. (4 Marks)
4 (a) Write Maxwell’s equations
in differential and integral form. Explain physical significance. (12 Marks)

(b) Rewrite Maxwell’s equations
for harmonically varying field. (4 Marks)

(c) An ac voltage source v = V

_{0}sinwt is connected across a parallel plate capacitor C. Verify that the displacement current in capacitor is same as conduction current wires. (4 Marks)
5 (a) Derive expression for
intrinsic impedance. (6 Marks)

(b) Give expressions for circular
and elliptical polarization. (6 Marks)

(c) What are Helmholtz equations?
(4 Marks)

(d) A parallel polarized wave propagates
from air to dielectric at Brewster angle of 8.5

^{0}. Calculate relative dielectric constant of medium. (4 Marks)
6 (a) explain the wave
propagation in good dielectrics. (6 Marks)

(b) Derive conditions for
horizontal and vertical polarization. (6 Marks)

(c) Derive expression for
Poynting’s theorem. (4 Marks)

(d) Find skin depth S at
frequency of 1.8 MHz in aluminium, where s
= 34 MS/m and m

_{r}= 1. Also find propagation constant and wave velocity. (4 Marks)
7 (a) explain the characteristics
of various types of transmission lines. (6 Marks)

(b) Define artificial lines. What
are the applications of artificial lines. (6 Marks)

(c) Obtain expressions for
reflection factor and reflection loss. (4 Marks)

(d) A 100 W line feeding the antenna has SWR = 2
and the distance from load to the first minima is 10 cm. Design a single stub
matching to make SWR = 1. Given f = 150 MHz.(4 Marks)

8 (a) Discuss types of Bridged T
equalizers. (6 Marks)

(b) What is the need of
attenuator over a line? (4 Marks)

(c) Write a note on different
types of variable attenuators. (6 Marks)

(d) An air line has a
characteristic impedance of 75 W
and a phase constant of 4 rad/m at 200 MHz.
Calculate the inductance per meter and capacitance per meter of line. (4
Marks)