Electrodynamics Important Questions

Bsc/Msc Physics 

Unit 1 

1. What are Laplace and Poisson equation?
2. Explain bio savart law?
3. Explain ampere's circuital law?
4. Explain ampere's circuital law in terms of current density?
5. State and prove gauss law?
6. State and prove gauss law in Differential form?
7. Explain Laplace and Poisson equation from gauss law in electrostatic?
8. What are scaler and vector potentials establish relation between them?
9. Explain the method of electrical image for the solution of problem in electrostatics?
10. Using method of electrical images find the intensity of electric field near the grounded conducting sphere?
11. What is the significance of retarded potential. derive expression for lienard Weichert potentials?
12. Write and explain the bio savart law in vector form and find magnetic field due to long straight current carrying conductor?
13. Find the complete solution of Laplace equation in spherical co-ordinates?
14. Derive an expression for the radiated energy form an accelerated charge at low velocity by using retarded potential?
15. Find the value of magnetic induction at the  centre of circular loop by using bio savart law?
16. Derive an expression for lienard Weichert potentials for a moving  point charge?
17. What are Maxwell's equations. Derive these equation in Differential and other different forms?
18. Explain gauge transform , Lorentz gauge and coulomb gauge?
19. Find the solution of Maxwell's equations in conducting media radiations by moving charges?
20. Explain the fields of arbitrary moving charge particle?

Unit 2

1. Explain the acceleration of charged particle of low energy?
2. Explain Lorentz transformation in four dimensional space?
3. Explain Four vector, Four scaler, Four space and Four potential?
4. Explain uniform and non uniform E and B fields?
5. Explain Motion of charged particles in electromagnetic fields?
6. Derive Langragian and Hamiltonian for a Relativistic charged particle in external electromagnetic field?
7. Derive an expression for the radiated energy from a high velocity electron moving with acceleration parallel to velocity?