## Course Detail

 Course Name Electricity and Magnetism in Matter Course Code 22PHY304 Semester 4 Credits 4

### Syllabus

##### Unit 1

Review of Electrostatics
Learning Objectives
Recognize the concept of electric potential and solve associated problems.
Understand boundary value problems, Laplace’s equations in 1D, 2D and 3D along with uniqueness theorems.

Electric Potential, boundary conditions, Poisson’s and Laplace’s equations, La-place equation in one, two and three dimensions, Boundary conditions and Uniqueness theorem, Conductors and second Uniqueness theorem.

##### Unit 2

Techniques of solving Laplace equation, Numerical methods:
Learning Objectives
Apply various techniques to solve Laplace’s equations.
Understand the idea behind multipole expansion.

Finite difference method, Relaxation method and other methods of finding the potentials: Method of images, Separation of variables, Spherical co-ordinates, Multipole expansion, Electric field of a dipole.

##### Unit 3

Electric field in matter:
Learning Objectives
Understand Polarization, Bound charges and their physical interpretation.
Apply the idea of bound charges to calculate field of a polarized object.
Understand linear dielectrics.

Induced dipoles, Polarization, Field of polarized Object, bound charges, Physical interpretation of bound charges, Field inside a dielectric, Electric displacement, Linear dielectrics, Boundary value problem with linear dielectrics, Energy in dielectric systems, Force on dielectrics.

##### Unit 4

Learning Objectives
Recognize Maxwell’s equations for magnetostatics and the origin of magnetic vector potential.
Understand multipole expansion of magnetic vector potential.

Maxwell’s equations for Magnetostatics, Magnetic Vector potential, Aharanov-Bohm effect, Magnetostatic Boundary Conditions, Multipole expansion of magnetic vector potential.

##### Unit 5

Magnetic field in matter:
Learning Objectives
Understand Magnetization, bound currents and their physical interpretation.
Calculate magnetic field due to a magnetized object.
Explain the different types of magnetism.

Diamagnets, Paramagnets, Ferromagnets. Torques and Forces on Magnetic di-poles, Effect of magnetic field on atomic Orbits, Magnetization, Bound currents, Physical interpretation of bound currents, Magnetic field inside matter, Ampere’s law in magnetized materials, Magnetostatic Bounda-ry Conditions, Linear and Nonlinear media: Magnetic susceptibility and permeability. Ferromagnetism

### Objectives & Outcomes

Prerequisites: Basics of Electricity and Magnetism

Course Objectives
Having successfully completed this module, the student will be able to demonstrate knowledge and under-standing of: Electric Potential, Boundary conditions, Maxwell’s equations, various techniques of solving Laplace’s equation, Electric field and Magnetic fields in matter.

Course Outcomes
After completion this course students will be able to
CO1: Understand the concept of electric potential, Laplace’s equations and uniqueness theorems
CO2: Apply special techniques to calculate electric potential
CO3: Acquire knowledge related to bound charges and hence calculate electric field of polarized objects
CO4: Understand magnetic vector potential, magnetic field in matter and different types of magnetic materials

Skills: Through assignments and quizzes, the problem solving capability of students related to electrodynamics is enhanced.

CO-PO Mapping

 PO1 PO2 PO3 PO4 PO5 PSO1 PSO2 PSO3 CO1 3 3 3 3 3 CO2 3 3 3 3 3 CO3 3 3 3 3 3 CO4 3 3 3 3 3

### Text Books & Reference Books

Text Books
1. David J. Griffiths, Introduction to Electrodynamics, 4th Ed., Pearson Publication, 2015.

Reference
1. Richard P. Feynman, Robert P. Leighton and Matthew Sands, Feynman Lectures on Physics Vol.1, 1E, Narosa Publishing House, 2008.
2. J.D. Jackson, Classical Electrodynamics, 3rd Ed., Wiley, 2007.
3. David Halliday, Robert Resnick, and Jearl Walker, Fundamentals of physics, 10thEdition, John Wiley, 2017.
4. Lectures by Prof. Dipan Ghosh on “Electromagnetic Theory” https://nptel.ac.in/courses/115/101/115101005/

### Evaluation Pattern

CO-PO Mapping

 Assessment Internal External Semester Periodical 1 (P1) 15 Periodical 2 (P2) 15 *Continuous Assessment (CA) 20 End Semester 50

*CA – Can be Quizzes, Assignments, Projects, and Reports.

Justification for CO-PO Mapping

 Mapping Justification Affinity level CO1-CO 5 to PO1 and PSO 1 All the four course outcomes have strong affinity to PO1 as PO1 deals with inculcating strong fundamentals in Physics and Mathematics. Also all the COs will develop inquisitiveness to solve problems scientifically in students, the affinity level of them with PSO1 is the maximum.. 3 CO1-CO4-PO2 and PSO2 All the four course outcomes have strong affinity to PO2 as PO2 deals with enhancing analytical skill and critical thinking in students to find solution to scientific problems. Also all the COs will develop analytical skills in students so that they will be equipped to take up research related problems, the affinity level of them with PSO2 is the maximum. 3 CO1-CO5 – PO3 All the four course outcomes have strong affinity to PO3 as PO3 deals preparing students to undertake complex problems and to design and develop solutions which enhance the existing scientific knowledge. 3

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