 COURSE SUMMARY
Course Title:
Electricity and Magnetism
Course Code:
18PHY202
Year Taught:
2019
Semester:
3
Degree:
Integrated Degree
School:
School of Arts and Sciences
Campus:
Mysuru

'Electricity and Magnetism' is a course offered at the School of Arts and Sciences, Amrita Vishwa Vidyapeetham, Mysuru campus.

#### Scope and Objectives

To enable students to acquire a broad conceptual framework of electromagnetic phenomena.

#### Syllabus

Unit I:

Electrostatics: Electrical pressure on a charged surface. The path traced by a charged particle in a transverse electric field. The attracted disc electrometer – construction, theory and applications.

Review of concept of electric field and electric field due to point charge. Electric field due to (i) electric dipole, (ii) line of charge and (iii) charged disc.

A dipole in an electric field, torque on a dipole in uniform and non-uniform E fields, potential energy of an electrical dipole.

Unit II:

Electric Fields in matter: Capacitance, parallel plate capacitor, calculation of capacity of a spherical and cylindrical capacitor, energy stored in a capacitor, capacitor with dielectric, atomic view of dielectrics, polarization, electric field due to a polarised material, Gauss’s law in dielectrics, Dielectric constant, Energy density of an electrostatic field (with and without dielectric).

Polarisability and susceptibility – Frequency dependence of polarisability, Clausius- Mossotti equation.

Unit III:

Magnetostatics: Review of Ampere’s law, B near a long wire, Magnetic lines of induction, force between two parallel conductors, definition of ampere, B for a solenoid, Biot-savart’s law, and applications of Biot-savart’s law.

The magnetic field, Lorentz force and definition of magnetic field, magnetic induction, magnetic force on a current element, circulating charges, Cyclotron resonance frequency, Cyclotron.Magnetisation, magnetisation current density, magnetic field intensity, magnetic susceptibility and permeability

Unit IV:

Electromagnetic Induction: Review of Faraday’s law, Faraday’s experiment, Lenz’s law, Time varying magnetic fields, Application in betatron.

Inductance: Self inductance, LR circuit, energy in a magnetic field, magnetic energy density.

Unit V:

Alternating current and filters: R M S values, Response of LR, CR and LCR circuits to sinusoidal voltages (discussion using the j symbol), Series and parallel resonance, Half-power frequencies, bandwidth and Q-factor, Power in electrical circuits, power factor, Maximum power transfer theorem (with proof).

High-pass and low-pass filters with LR and CR combinations, Cut-off frequency, Band-pass filters.

#### Textbook / References

Textbooks:

1. Electricity and Magnetism, Fewkes and Yarwood.
2. Electricity and Magnetism : A N Matveev, Mir Publishers, Moscow.
3. Electricity and Magnetism, F.W.Sears, Addison Wesley Co.
4. K. K. Tewari: Electricity and magnetism, S.Chand Co. Ltd., New Delhi, Reprint 2007.

References:

1. Fundamentals of Physics, 6th Edition, David Halliday, Robert Resnick and Jearl Walker, John Wiley, Inc.
2. Fundamentals of Electricity and Magnetism : A F Kipp, McGraw Hill.
3. Halliday/Resnick/Walker: Fundamentals of Physics, 8th edition, John Wiley &Sons(Asia) Pte. Ltd.
4. B. B. Laud: Electrodynamics , Wiley Eastern Limited, New Delhi.
5. David. J. Griffiths: Introduction to Electrodynamics, 3rd edition, Prentice-Hall of India Private limited, New Delhi.
6. W.H. Hayt and J. A. Buck: Engineering Electromagnetism , 6th edition, Tata McGraw Hill, New Delhi.
7. BrijLal and N.Subrahmanyam : A text book of Electricity and Magnetism, 19th editionRatanPrakashanMandir, Educational and University Publishers, Agra.
8. A.B.BhattacharyaR.Bhattacharya, Under Graduate Physics, Volume II, New Central Book Agency(P) Ltd., Kolkata.
9. D.N. Vasudeva: Fundamentals of Magnetism and Electricity, 12th edition-S.Chand and Co. Ltd., New Delhi.

#### Practicals

(A minimum of ten experiments to be done from the list given below)

1. Determination of Q factor by series resonance.
2. Determination of Q factor by parallel resonance.
3. Determination of self inductance of a coil using Anderson’s Bridge.
4. Determination of capacitance by measuring impudence of RC circuit.
5. Determination of Inductance by measuring impudence of RL circuit.
6. Mutual inductance of a solenoid by Ballistic Galvonometer.
7. De Sauty’s Bridge 8. Determination of resistivity of a material using low resistance.
8. Determination of the specific charge of a copper(Cu++) ion using Copper Voltameter.
9. Study of decay of current in LR and RC circuit.
10. Measurement of B by current balance.
11. To show that the behavior of an inductance in an AC circuit is analogous to that of a resistor which obeys Ohm’s Law and hence to measure inductance.