EMF

EMF THEORY AND TRANSMISSION LINES.


1. Answer the following.
a. List the salient features of potential gradient.
b. Explain dipole movement.
c. Explain ampere circuital law.
d. Write boundary conditions in scalar form.
e. What is Brewster angle?
f.. What are wave guide resonators?
g. what are the losses in transmission lines?

2.
a. State gauss law using divergence theorem and gauss’s law, relate the displacement density D to the volume charge density pv.
b. A sphere of radius “a” is filled with a uniform charge density of “pv” c/m3 . Determine the electric field inside and out side the sphere.

3.
a. An infinitely long conductor is bent int an L shape as shown in figure. If I=5mA, find the field and flux densities at ( 2,2,0).






b. Explain the principles of magnetic induction and establish the Faraday’s law. Define parameters involved.

4.
a. State Maxwell’s equation in both Differential and Integral form and explain them.
b. Derive wave equations for conducting medium.
c. For silver, =3.0mho/m. At what frequency will the depth of penetration be 1mm?



5. a. Define uniform plane waves. Solve the wave equations for uniform plane waves in a medium of conductivity and hence establish the relations for propagation constant, attenuation and phase constants in terms of conductivity.
b. Explain the characteristics of the propagating waves in a good conducting medium.


6.
a. Discuss the nature of variation of wave impedances for TE, TM and TEM waves with frequency in parallel plane guide.
b. Define and derive the equations for phase and group velocities in a parallel plane guide. On what factors do they depend?

7. Starting from Maxwell’s equations, derive the expressions for the E and H field components for TE waves in a parallel plane wave guide.

8.
a. Starting from the equivalent circuit derive the transmission line equations for V and I in terms of the source parameters.
b. Give the T and pi equivalent networks representations for a transmission lines.