Course Contents

Electric Field Gauss’s Law Electric Potential: Calculation of field from Potential: Capacitor and Dielectric: Capacitor with Dielectrics: Electric field of dielectric: DC circuits: RC Circuits: Magnetic field effect Magnetic dipole: Ampere’s Law: Biot Savort Law”: Magnetic Properties of Matter: Origin of Atomic and Nuclear Magnetism: Magnetic material: Inductance: LR circuits: Electromagnetic Oscillation: Alternating current: Maxwell’s equation: Electromagnetic waves:

Course Synopsis

Electric Field: Field due the point charge, due to several point charge, electric pole, electric field of continuous charge field e.g. ring of charge, disc of charge, infinite line of charge, point charge in an electric field, dipole in an electric field, torque on and energy of a dipole in a uniform magnetic field. Gauss’s Law: Electric flux, Gauss’s law(integral and differential form), application of Gauss’s law(integral form), charged isolated conductor with a cavity, field near a charged conducting sheet, filed of infinite line of charge, field f spherical shell, field of spherical charge distribution. Electric Potential: Potential due to point charge, potential due to collection of point charges, potential due to dipole, electric potential due to continuous charge distribution. Calculation of field from Potential: Field as the gradient or derivative of potential. Potential and field inside and outside an isolated conductor. Capacitor and Dielectric: Capacitance, calculating the electric field in a capacitor, capacity of various shapes cylindrical spherical etc. and calculating their capacitance, energy stored in an electric field, energy per unit volume. Capacitor with Dielectrics: Electric field of dielectric: 1. An atomic view 2. Application of Gauss’s law to capacitor with dielectric. DC circuits: Electric current, ohm’s law, review of the basic concept, calculating the current in single loop, multiple loops, voltage at various elements of loops, use of Kirchoff’s 1st and 2nd rule, thevinon theorem, Norton theorem and superposition theorem. RC Circuits: Growth and Decay of current in an RC circuit. Analytic treatment. Magnetic field effect: Magnetic field B, basic idea, magnetic force on a charged particle, magnetic force on a current, recall the previous result, torque on a current loop, Magnetic dipole: Definition, energy of magnetic dipole in field, quantitative discussion, lorentz force with its applications. Ampere’s Law: Integral and differential form, application to toroid and solenoid. Biot Savort Law”: Analytic treatment, application to a current loop force on two parallel current changing conductors. Magnetic Properties of Matter: Gauss’s law for magnetism, discussions and developing concept of conservation of magnetic flux, differential form of Gauss’s Law. Origin of Atomic and Nuclear Magnetism: Basic idea, Bohr’s magnetron, Magnetization: defining M.B.U Magnetic material: Para magnetism, diamagnetism, ferromagnetism-discussions, hysteresis in ferromagnetic materials. Inductance: Faraday’s law of electromagnetic induction, review of e.m.f Lenz’s law, inductance, basic definition, inductance of a solenoid, toroid. LR circuits: Growth and decay of current, analytic treatment energy stored in a magnetic field, energy density, and the magnetic field. Electromagnetic Oscillation: Qualitative discussion, quantitative analysis using differential equation (without considering damped and forced oscillation), forced electromagnetic oscillations and resonance. Alternating current: AC current in resistive, capacitive and inductive and capacitive element, single loop RLC circuit, analytic expression of time dependent solution, graphical analysis phase angle, Power in AC circuits phase angle, RMS values, power factor. Maxwell’s equation: Summarizing the electromagnetic equations, Gauss’s law for electromagnetism, faraday law, ampere’s law, induced magnetic field and displacement current, development of concept, application, Maxwell equation, integral and differential form discussions and implications. Electromagnetic waves: Generating an electromagnetic wave, traveling wave and Maxwell’s equation, analytic treatment, obtaining the velocity of light from Maxwell’s equation, energy transport and the pointing vector, analytic treatment and discussions of physical concept.

Course Learning Outcomes

After the completion of the course the students will be capable to - understand the concepts of electric and magnetic field - Apply Gauss's law to calculate electric field for various charge distributions - understand charging and discharging in RC and LR circuits - use the Faraday's law in induction - Use the Ampere law in order to calculate magnetic field - Apply Maxwell's equation in various cases - understand the generation and properties of electromagnetic waves