LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
M.Sc. DEGREE EXAMINATION – PHYSICS
FIRST SEMESTER – NOVEMBER 2010
PH 1812 – ELECTRODYNAMICS
Date : 30-10-10 Dept. No. Max. : 100 Marks
Time : 1:00 – 4:00
PART-A
Answer all questions 10 x 2 = 20
- State two properties of lines of force.
- Distinguish between polar and non-polar dielectrics.
- Define magnetic vector potential?
- Using Ampere’s circuital law find the magnetic field near infinitely long current carrying conductor
- What is motional e.m.f.?
- Write down any two Maxwell’s equations and give significance.
- Write second order Wave equations for E and B
- What is Brewster’s angle?
- What is an acceleration field?
- Is charge Lorentz invariant? Justify?
PART-B
Answer any four questions 4 X 7.5 = 30
- Derive the integral and differential forms of Gauss’s law
- Derive the Neumann’s formula for mutual inductance between two pair of coils
- a) State Biot-Savart’s law. Find the magnetic field at a distance z above the centre of a circular loop of radius R carrying a steady current I
- b) List any three properties of Ferro and Para magnetic materials. [2+2.5+3]
- Find the charge and current distributions that would give rise to the potentials V= 0, with
A =
Where is a constant and
- Derive the expressions for electric and magnetic fields of a point charge with constant velocity.
PART-C
Answer any four questions 4 x 12.5 = 50
16 a. Obtain the general expression for energy of a point charge distribution
- Find the energy of a uniformly charged shell of total charge q and radius R
- Discuss the theory of multipole expansion of vector potential and derive an expression for the magnetic vector potential.
- State and prove Poynting’s theorem?
- Discuss with necessary theory, the case of oblique incidence of electromagnetic wave at the interface of two non-conducting media and hence obtain Fresnel’s equations.
- Obtain an expression for the power radiated by an oscillating electric dipole
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