Unit 1

Electric forces and Fields: Coulomb law in vector form, superposition of electric forces; electric fields, calculation of electric fields of static discrete and continuous charge distributions; Gauss’ law and determination of electric fields of simple symmetric charge distributions: spherical distribution, line charge, infinite flat sheet of charge. [10]

Unit 2

Energy associated with electric field. Electric potential: work, potential energy, and potential function, potentials of simple distributions of charges, dipoles; calculating electric field from potential, gradient of potential; Conductors: electric field and potential inside and on the surface of a charged conductor. [6]
Capacitors and Dielectrics: Capacitors, energy stored in a capacitor and in an electric field. Capacitors with a dielectric, polarization, electric field and displacement field in a dielectric medium, dielectric constant, Gauss’ law for dielectrics. [4]

Unit 3

Electric current: electric current, current density, conservation charge; drift motion in an electric field, resistance and resistivity, Ohm’s law, temperature dependence of resistivity, power dissipation. DC Circuits, RC Circuit, time constant. [5]
Magnetostatics: magnetic force on moving charged particles and a current carrying wires, torque on a current loop, magnetic moment and magnetic dipoles, principle of DC electric motors; Biot-Savart and Ampere’s laws, magnetic field due to simple static current distributions; solenoid and toroid; Basic ideas on magnetism in matter, magnetic permeability, magnetic field due to a point magnetic dipole and a bar magnet (results only). [9]

Unit 4

Changing magnetic fields: Electromagnetic induction, Faraday’s law in integral form, induced EMF, AC generator, moving field sources, universal law of induction, induced electric field, Faraday’s law, mutual and self-inductance, LR circuit, energy stored in a magnetic field. [9]

Unit 5

AC Circuits: RLC circuits driven by an AC source, phasors, impedance, power and energy in AC circuits; Resonance in series and parallel RLC circuits, measurement of inductance and capacitance. [6]
Maxwell’s equations: displacement current, Maxwell’s equations in integral form. Elementary discussions on gradient, curl and divergence of vector fields, divergence and Stokes’ theorems and differential forms of Maxwell’s equation, motivation on its consequences: electromagnetic and optical phenomena in nature. [3]

Description: This course is the second one in the foundational series. It introduces to the students a part of basic electricity and Magnetism at an elementary level and introduces to students to problem solving in this topic.

Course Outcomes: By the end of the course students shall be able to
CO1: describe and apply electrostatic forces laws in vector form, superposition of forces, calculate electric fields, electric flux, apply Gauss’ law for symmetric charge distributions to calculate electric field.
CO2: understand and calculate potentials, potential energies for basic charge distributions, , electric potential from electric field and vice-versa, dipoles, work and potential energy, capacitance, charge and energy stored in a capacitor, effect of dielectrics on electric field, charge and energy stored in a capacitor.

CO3: understand, describe and solve simple problems on electric current, electrical resistance and Ohm’s law, capacitor, basics of resistor networks, RC circuit.
CO4: understand and apply concepts in magnetism, magnetic fields, determine forces due to magnetic field on moving charges and current carrying wires, , magnetic dipoles, torque, use Biot-Savart and Ampere’s determine magnetic field due to simple current distributions, solenoids.
CO5: apply Faraday’s laws for induced emf, induced electric field, describe laws in induction in integral form, mutual and self-induction, inductors and LRC ac-circuits, resonance and tuning; understand basics of displacement current and Maxwell’s equation.

Evaluation Pattern: As in the rules for Assessment Procedure (R.14)

Skills and Employability: The entire contents of this course, tutorials and assignments lays conceptual/theoretical foundation for application of laws of physics to problems of scientific interest and builds skills required for a career as an educator/academician in schools, colleges, universities and coaching centres, as a professional researcher in government/industrial research organizations, and as a communicator of science in general.

Textbook

1. Halliday, Resnick, and Walker, Fundamentals of Physics, 10th Ed., Wiley Indian Reprint, 2008, Chapters 21-32.
2. Serway and Jewett, Physics for Scientists and Engineers, 9E, Cengage Learning, 2013.
3. R.A. Freedman and H.D. Young, University Physics with Modern Physics, 14E, Pearson India.
4. Edward Purcell, Electricity and Magnetism, 2e (SI edition), Tata-McGraw Hill, 2011.
   (Ch. 1, 3; elementary discussions of Ch. 3;Ch. 6 – 9; elementary discussions of Ch. 10, 11; Some sections may be taken from Halliday, Resnick and Walker for simpler presentation. This syllabus has been designed for students who take vector calculus math course in the same semester.)
5. Halliday, Resnick, and Krane, Physics, Vol. 2, 4th Ed., Wiley Indian Reprint.

References

1. Halliday, Resnick, and Krane, Physics, Vol. 2, 5th Ed., Wiley Indian Reprint, 2007
2. Feynman, Leighton and Sands, The Feynman Lectures on Physics, Vol.2, Narosa, 2008