Electromagnetism

Paper Code: 
PHY-112
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to

This course will acquaint the students with the scalar and vector fields, gradient, divergence, curl and their physical significance. Students will also learn about the fields produced by moving charges and magnetic fields in matter, electromagnetic induction, Maxwell’s equations and electromagnetic waves.

Course Outcomes (COs):

Course

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies 

Paper Code

Paper Title

 

PHY 112

 

Electromagnetism (Theory)

 

The students will be able to –CO7:  Explain and evaluate the   Gradient of a scalar quantity, Divergence and Curl of a vector quantity.

CO8: Apply Poisson’s and laplace’s equation to solve a variety of problems.

CO9: Articulate knowledge of magnetic forces to calculate various forces between different types of static and moving charges.

CO10: Derive Biot Savart’s law and apply it to find the magnetic field due to various types of current carrying elements. 

CO11: Describe the moments of charge distribution and the effect of dielectrics on different system of charges.

CO12: Explain the relation between atomic polarizability and electric susceptibility.

CO13: Achieve an understanding of the Maxwell’s equations, role of displacement current, gauge transformations, scalar and vector potentials, Coulomb and Lorentz gauge, boundary conditions at the interface between different media.

CO14: Apply Maxwell’s equations to deduce wave equation, electromagnetic field energy, momentum and angular momentum density.

CO15: Course will equip the students with required prerequisites to understand electrodynamics phenomena.

 

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Demonstration, Problem solving in tutorials

 

Learning activities for the students:

 

Self learning assignments, Effective questions, Seminar presentation, Solving Numericals.

 

Additional learning through MOOCs courses of SWAYAM/NPTEL

.

 

 

Class test, Semester end examinations, Quiz, Solving problems, Assignments, Presentation

 

8.00
Unit I: 
Scalar and vector fields:

Partial derivatives, Gradient of a scalar function. Line integral of a vector field, Divergence and Curl of a vector field, Physical significance of divergence & curl and their expressions in Cartesian coordinates, Gauss divergence theorem, Stokes curl theorem, Laplacian operator, Poisson’s and Laplace’s equation. 

9.00
Unit II: 
Dynamics of a charged particle:

Magnetic forces, Invariance of charge, Electric field measured in different frames of reference, Field of a point charge moving with constant velocity, Interaction between a moving charge and other moving charges.

10.00
Unit III: 
Magnetostatics:
Ampere’s law in differential form, Magnetic Vector Potential, Poisson’s equation for vector potential, magnetic  field due to a current carrying wire and deduction of  Biot-Savart’s law.
Electric current due to an orbiting electron, Bohr Magneton, Orbital gyro magnetic ratio, Electron spin and spin magnetic moment, magnetic susceptibility, magnetic field caused by magnetized matter, Magnetization current, Free current its H field. 
9.00
Unit IV: 
Electrostatics and dielectrics:

Moments of a charge distribution, Atomic and molecular dipoles, Atomic Polarizability, Permanent dipole moment, Dielectrics, capacitor filled with dielectric, the potential and field due to a polarized sphere, dielectric sphere in a uniform electric field, The electric field of charge in dielectric medium and Gauss law, Relation between electric susceptibility and atomic polarizability, Polarization due to changing electric field. The bound charge current.

Unit V: 
Maxwell’s equations and electromagnetic waves:
Faraday’s laws of electromagnetic induction, its integral and differential form, Maxwell’s displacement current, Maxwell’s equations in differential and integral  form.
Poynting’s theorem ,Wave equation , EM waves in a non-conducting dielectric medium, Plane monochromatic waves in a non-conducting medium, Energy flux in a plane electromagnetic wave, Radiation pressure.
Essential Readings: 
  • “Electricity and Magnetism with Electronics”, K.K.Tewari, S.Chand& Co. Ltd. (2001)
  • “Electricity and Magnetism”, D.Chattopadhyay, P.C.Rakshit, New Central Book Agency (P) Ltd.
  • “Elements of Electromagnetics”, Mathew, N.D. Sadika, New Delhi, Oxford University Press.
  • “Electricity and Magnetism”, W.J.Duffin , Mc Graw Hill Book Co., Fourth edition.
  • “Electromagnetics”, B.B.Laud ,New Age International Publishers, Second edition.
  • “Electromagnetic theory and electrodynamics”, Satya Prakash, KedarNath Ram Nath& Co. Publishers, Meerut, Ninth edition.
  • “Physics Part 2”,D.Halliday and R.Resnick, John Wiley and Sons, Inc. Newyork.
  • “Principles of Electricity and Magnetism”,S.Palit, Narosa Publishing House.
Academic Year: