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Questions:

1. Write the equation for conservation of charge in a medium.
2. Write down Maxwell's equations in integral form.
3. Define vector and scalar potentials.
4. What do you mean by skin depth?
5. What is a wave guide?
6. What is displacement current? Write down its characteristics.
7. State Poynting theorem.
8. Describe the coulomb gauge.
9. Define Green's function for the wave equation.
10. Explain normal and anomalous dispersion.
11. Obtain the wave equations for electromagnetic fields in a homogeneous isotropic conducting medium.
12. Explain electric and magnetic dipoles.
13. Explain TE, TM, and TEM modes of propagation of electromagnetic waves in a wave guide.
14. Solve Maxwell's equations in free space to show that electric field, vector potential, and direction of propagation form a set of orthogonal vectors.
15. Show that Maxwell's equations for an electromagnetic field can be written as a pair of inhomogeneous wave equations involving scalar and vector potentials.
16. For transverse electric waves perfectly propagating in a rectangular wave guide with perfectly conducting walls, find cutoff frequency.
17. Deduce expressions for electric and magnetic fields of an oscillating electric dipole.