
B.S. ELECTRICITY & MAGNETISM  [PHYS 401] SYLLABUS

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. BiotSavart 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. IH 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.

ElectroMagnetic Waves: Summary of the electromagnetic
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)


