June 23, 07

PH 101: Electricity and Magnetism  (2-1-0-6)
Review of calculus-gradient, curl, divergence and Laplacian. Spherical polar
and cylindrical coordinates, volume, surface and length elements, Stokes and
divergence theorems. Principle of superposition for determining electric
field due to a continuous charge distribution (Examples of calculation of
electric field due to uniformly charged planes, disk, cylinder and sphere).
Gauss's law in integral and differential form. examples from planar,
cylindrical and spherical symmetry.
Work done in assembling a charge distribution, electric potential,
potential, energy of electrostatic field. Poisson's and Laplace's equation,
simple examples of solutions. Properties of conductors. Polarization and
bound charges, expression for D, illustrative examples of capacitors
containing dielectrics. Revisiting magnetostatics, Lorentz force law
(cylindrical motion in a electric and magnetic field), Ampere's and
Biot-Savart's law.
Divergence and curl of B. Vector potential ~A and concept of gauge,
Calculation of A for a finite straight conductor, infinite wire and for a
uniform magnetic field. Magnetism in matter M, volume and surface current,
Field H, Ampere's law for H, Faraday's law in integral and differential
form, Motional emf, self and mutual inductance. Displacement current.
Gathering of all the four Maxwell's equations. Electromagnetic waves, wave
equation, e.m. waves in vacuum, Energy and momentum of e.m.w., Poynting
vector, radiation pressure. Polarization of e.m.w., elliptic polarization.
Reflection from a plane surface (normal incidence only), reflection from a
metal surface, skin depth, Standing electromagnetic waves, resonating
cavity. Waveguides with rectangular metallic boundaries, TE, TM modes,
impossibility of supporting TEM modes in a hollow cavity Electric dipole
radiation, Larmor's formula. Qualitative ideas on radiation pattern,
Relativistic invariance of Maxwell's equation.

Text/References
1. D. J. Griffiths, Introduction to Electrodynamics.
2. Mahajan and Rangwala, Electricity and Magnetism.
3. Purcell, Electricity and Magnetism, Berkeley Series.

PH 115 Physics Laboratory 0 0 3 3
Experiments on: moving coil galvanometer; Fresnel's Biprism; Prism
Spectrometer; Newton's Rings; Anderson's Bridge; Young's Modulus by Koeing's
method; Moment of Inertia of a Flywheel; Thermistor characteristics;
Helmoltz Coils; Compound pendulum.

Text/References
1. B. L. Worsnop and H. T. Flint, Advanced Practical Physics for students,
Asia Publishing House, 1971.