Section A

Electric Field: Field due to a point charge, due to several point charges, Electric dipole, Electric field of a continuous charge distribution e.g.: Ring of charge, Disc of charge, Infinite line of charge. Point charge in an electric field, Dipole in an electric field, Torque and energy of a dipole in a uniform field. Electric flux, Gauss’s law (Integral and differential forms) and its applications. Charge in isolated conductors, conductors with a cavity, field near charge conducting sheet, Field of an infinite line of charge, field of an infinite sheet of charge, field of spherical shell and 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. Field as the gradient or derivative of potential. Potential and field inside and outside an isolated conductor.

Capacitors and dielectrics: Capacitance, calculating the electric field in a capacitor. Capacitors of various shapes, cylindrical, spherical etc. and calculation of their capacitance. Energy stored in an electric field. Energy per unit volume. Capacitor with dielectric, Electric field of dielectric. An atomic view. Application of Gauss’s law to capacitors with dielectric.

DC Circuits: Electric current, Current density J, resistance, resistivity r and conductivity s, Ohm’s law, energy transfer in an electric circuit. Calculating the current in a single loop, multiple loops, potentiometer, voltages at various elements of a loop. Use of Kirchhoff’s 1st and 2nd law. Circuit analysis and Thevenin, Norton and Superposition Theorems. Growth and decay of current in an RC circuit and their analytical treatment.

Magnetic Field Effects and Magnetic properties of Matter: Magnetic force on a (moving) charge particle, Magnetic force on a current (carrying conductor). Torque on a current loop. Magnetic dipole. Energy of a magnetic dipole in field (quantitativel). Lorentz force with its applications in CRO. Biot-Savart law. Analytical treatment and applications to a current loop, force on two parallel current carrying conductors. Ampere’s law, Integral and Differential forms, applications to solenoids and toroids (Integral form). Gauss’s law for Magnetism: Discuss and develop the concepts of conservation of magnetic flux. Differential form of Gauss’s law. Origin of atomic and nuclear magnetism. Basic ideas, Bohr Magnetron. Magnetization, Defining M, B, m. Magnetic materials, Paramagnetism, Diamagnetism, Ferromagnetism, Hysteresis in Ferromagnetic materials.

Practical III:
1. Measurement of resistance using a Neon flash bulb and condenser.
2. Conversion of a pointer galvanometer into a voltmeter or ammeter.
3. Calibration of an ammeter and a voltmeter by potentiometer.
4. Low resistance by Carey Foster Bridge.
5. Current sensitivity of a mirror galvanometer.
6. Charge sensitivity of a ballistic galvanometer with logarithmic decrement.
7. Comparison of Capacitance by ballistic galvanometer.
8. Absolute capacity of a condenser.
9. High resistance by leakage method.
10. Verification of law of resistance by potentiometer.
11. Self inductance by Anderson/Rayleigh method.
12. I-H curve by magnetometer.
13. Measurement of magnetic field by fluxmeter or ballistic galvanometer.

Section B

Electromagnetic Induction: Faraday’s law and Lenz’s law, of electromagnetic induction, Calculation and application using differential and integral form, self and mutual Inductance. Inductance of a Solenoid and Toroid. LR circuits, Growth and decay of current, analytical treatment. Energy stored in a magnetic field, Derive. Energy density and Magnetic field. Electromagnetic oscillation qualitative. Quantitative analysis using differential equations, Forced electromagnetic oscillations and resonance.

Alternating Current Circuits: Sinusoidal wave, Phasors, AC behavior in resistive, inductive and capacitive elements. Single loop RLC series circuit. Qualitative treatment of RLC Parallel circuit, Power in AC circuits.

Electro-Magnetic Waves: Summary of the electro-magnetic equations (Gauss’s law for electromagnetism, Faraday law, Ampere’s law). Induced magnetic field & displacement current; development of their concepts and applications. Maxwell’s equations (integral and differential forms) and their discussion and implications. Generation of an electromagnetic wave. Traveling waves and Maxwell’s equations; analytical treatment. Obtain differential form of Maxwell’s equations, obtain velocity of light from them. Energy transport and the Pointing vector. Analytical treatment and discussion of physical concepts.

Recommended Text:
1. D. Halliday, R. Resnick and K. Krane, Physics, 5th edition, John Wiley, 2002.
2. D. Halliday, R. Resnick and J. Walker, Fundamentals of Physics, 6th edition, John Wiley, 2001.
3. B.L. Theraja, Basic Electronics, 5th edition, Publishers S. Chand & Company Ltd 1997.
4. T. L. Floyd, “Principles of Electric Circuits”, 5ht edition, Prentice Hall, 1997
5. R. A. Serway, J. W. Jewett, “Physics”, 6th edition, Brooks/cole (2004).
6. J. D. Cutnell, K. W. Johnson, “Physics”, 6th edition, John Wiley (2004).
7. L. D. Kirkpatrick, G. F. Wheeler, “Physics”, 4th edition, Brooks/cole (2001)