ELECTRICITY AND MAGNETISM

Syllabus

Electricity and Magnetism

Course Code: P3 PHY201

Unit - I

Electrostatics: Electric charge & types of electric charge densities, Coulomb’s Law. General expression for Electric field E. Electric flux, Gauss’s law (applications included). Divergence & Curl of Electrostatic field. Line integral of Electric field, Electric potential (V), Electric field as negative of gradient of electric potential (E = –ÑV), conservative nature of Electrostatic field. Electric potential and Electric field due to a Dipole, and Quadrupole. Force and torque on a Dipole in uniform as well as non-uniform Electric field. Electrostatic Energy of a configuration of charges, and uniformly charged sphere.

Electric Fields in Matter: Polarization, Polarization vector (P), Bound charges, Electric displacement vector (D), Electric Susceptibility and Dielectric constant. Relation between E, P and D. Lorentz local field, Clausius-Mossotti equation, Debye equation.

Unit - II

Magnetostatics: Magnetic effect of currents, Magnetic field (B), Biot-Savart’s Law (applications included). Ampere’s Circuital law and its applications. Divergence and Curl of magnetic field. Scalar and Vector magnetic potential. Forces on a moving charge. Magnetic Force on a current carrying wire and its loop. Torque on a current loop in a uniform Magnetic Field. Current loop as a magnetic dipole and its dipole moment.

Magnetic Properties of Matter: Magnetization vector (M), Magnetic Intensity (H), Magnetic Susceptibility and permeability. Relation between B, M and H. Types of Magnetic materials. B-H curve and Hysteresis.

Unit - III

Time Varying Electromagnetic Fields: Faraday’s laws of Electromagnetic Induction and Lenz’s law. Induced Electric field, non- conservative nature of Induced electric field. Self and Mutual Induction (applications included). Selfinductance of a solenoid and toroid, Mutual inductance of two Coils. Energy stored in Magnetic Field. Skin effect.

Motion of Electron in a changing Magnetic field – Betatron equation. Theory and working of the moving coil Ballistic galvanometer (applications included).

Unit - IV

Electromagnetic Waves: Equation of continuity of current, Displacement current, derivation of Maxwell’s equations and physical significance of Maxwell Correction term. Electromagnetic waves in vacuum and isotropic Dielectric medium, Transverse nature of Electromagnetic waves, Energy density in Electromagnetic wave - Poynting vector.