# Electricity and Magnetism

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# Code(Credit) : CUTM1488 (3-2-1)

## Course Objectives

• Study the electric and magnetic fields in detail.
• Study and explore the dielectric properties of matter.
• Study the relation between electric and magnetic fields.

## Learning Outcomes

 COs Course outcomes Mapping COs with POs (High-3, Medium-2, Low-1) CO1 Understand electricity and magnetism using standard mathematical tools. PO1-3, PO2-3, PO5-3 CO2 Develop an understanding of space and time necessary for understanding electrodynamics. PO1-3, PO2-2, PO5-3 CO3 Develop and train problem-solving skills. PO5-3, PO12-2, PO13-1 CO4 Establish the foundation for higher-level courses in physics, chemistry,  and engineering PO4-3, PO5-2

## Course Syllabus

Module-I
Electric Field
Electric field: Electric field lines. Electric flux. Gauss’ Law with applications to charge distributions with spherical,
Conservative nature of Electrostatic Field. Electrostatic Potential. The Uniqueness Theorem. Potential and Electric Field of a dipole. Force and Torque on a dipole, cylindrical and planar symmetry, Laplace’s and Poisson equations

Module-II
Electrostatic energy of system of charges. Electrostatic energy of a charged sphere. Conductors in an electrostatic Field. Capacitance of a system of charged conductors. Parallel-plate capacitor. Capacitance of an isolated conductor. Method of Images and its application to: (1) Plane Infinite Sheet and (2) Sphere, Surface charge and force on a conductor.

Practice 1: Determination dielectric constant by using parallel plate capacitors

Module-III
Dielectric Properties of Matter: Electric Field in matter. Electrical Susceptibility and Dielectric Constant. Capacitor (parallel plate, spherical, cylindrical) filled with dielectric. Displacement vector D. Relations between E, P and D. Gauss’ Law in dielectrics, Polarization, Polarization charge

Module-IV
Biot-Savart’s Law and its simple applications: straight wire and circular loop. Current Loop as a Magnetic Dipole and its Dipole Moment (Analogy with Electric Dipole). Ampere’s Circuital Law. Properties of B: curl and divergence. Vector Potential. Magnetic Force on (1) point charge (2) current carrying wire (3) between current elements. Torque on a current loop in a uniform Magnetic Field.
Relation between B, H, M. Ferromagnetism, Magnetic force and Magnetic Field, Ampere’s Circuital Law application to (1) Solenoid and (2) Toroid,  Magnetic Properties, B-H curve and hysteresis

Practice 2: To study the variation of magnetic field with distance along the axis of a circular coil carrying current.

Practice 3: To determine the reduction factor of the given tangent galvanometer (K).

Module-V
Electromagnetic Induction: Faraday’s Law. Lenz’s Law. Self-Inductance and MutualInductance. Reciprocity Theorem. Energy stored in a Magnetic Field. Introduction to Maxwell’s Equations. Charge Conservation and Displacement current, Charge Conservation

Practice 4: To determine self-inductance of a coil by Anderson’s bridge.

Practice 5: To determine self-inductance of a coil by Rayleigh’s method.

Practice 6: To determine the mutual inductance of two coils

Module-VI
Electrical Circuits: AC Circuits: Kirchhoff’s laws for AC circuits. Complex Reactanceand Impedance. Series LCR Circuit: (1) Resonance, (2) Power Dissipation and (3)
Quality Factor, and (4) Band Width. Parallel LCR Circuit.

Practice 7: To design series RC circuit and find out the current flowing thorugh each component.

Practice 8: To design series LC circuit and find out the current flowing thorugh each component.

Practice 9: To design Series RL circuit and find out the current flowing thorugh each component.

Practice 10: To study the variation in current and voltage in a series LCR circuit

Module-VII
Network theorems: Ideal Constant-voltage and Constant-current Sources. NetworkTheorems: Thevenin theorem, Norton theorem, Superposition theorem., Ideal Constant-current Sources, Reciprocity theorem, Maximum Power Transfer theorem. Applications to dc circuits

Practice 11: To verify the Thevenin theorems.

Practice 12: To verify the Norton theorems

Text Books:
1. Electricity and Magnetism by D.C.Tayal, Himalaya Publishing House.
Reference Books:
1. Electricity and Magnetism - K. K. Tiwari
2. Elements of Electromagnetics, M.N.O. Sadiku, 2010, Oxford University Press.
3. Engineering Electromagnetics by W.H.Hayt&J.A.Buck.
4. Introduction to Electrodynamics by D J Griffiths, PHI Learning, 2009.
5. Electricity and Magnetism - Segal, Chopra, Segal.
6. Electricity, Magnetism & Electromagnetic Theory, S. Mahajan and Choudhury, 2012, Tata McGraw
7. Electricity and Magnetism, Edward M. Purcell, 1986 McGraw-Hill Education

## Session 1

Electrostatic potential

## Session 2

Potential and Electric Field of a dipole

## Session 3

Applications to charge distributions with spherical

## Session 4

Assignment 1 (1hr)

Cylindrical and planar symmetry

## Session 5

Assignment 2 (1 hr)

Laplace’s and Poisson equations

## Session 6

Potential and Electric Field of a dipole

## Session 7

Force and Torque on a dipole

## Session 8

Electrostatic energy of system of charges

## Session 9

Electrostatic energy of a charged sphere.

## Session 10

Assignment 3 (1 hr)

Surface charge and force on a conductor

## Session 11

Practice 1 (2 h)

Determination dielectric constant by using parallel plate capacitors

## Session 12

Capacitance of a system of charged conductors.

## Session 13

Parallel-plate capacitor. Capacitance of an isolated conductor.

## Session 14

Assignment 4 (1 hr)

Polarization, Polarization Charges

## Session 15

Electrical Susceptibility and Dielectric Constant.

## Session 16

Capacitor filled with the dielectric

## Session 17

Relations between E, P and D

## Session 18

Gauss Law in dielectrics

## Session 19

Assignment 5 (1 hr)

Magnetic Force and Magnetic Field

Biotsavarts Law

## Session 21

Application of Biotsavarts Law

## Session 22

Ampere's circuital Law

## Session 23

Assignment 6 (2 hr)

Application of Ampere's circuital Law

## Session 24

Magnetic Force on point charge

## Session 25

Torque on a current loop

## Session 26

Assignment 7 (1 hr)

Magnetic Properties

Ferromagnetism

## Session 28

Assignment 8 (2 hr)

B-H curve and hysteresis

## Session 29

Practice 2 (2 hr)

To study the variation of magnetic field with distance along the axis of a circular coil carrying current.

## Session 30

Practice 3 (2 hr)

To determine the reduction factor of the given tangent galvanometer (K).

## Session 31

Faraday’s Law and Lenz's Law

## Session 32

Self-Inductance and MutualInductance

## Session 34

Assignment 9 (1 hr)

Conservation of Charge

## Session 35

Displacement current.

## Session 36

Practice 4 (2 hr)

To determine self-inductance of a coil by Anderson’s bridge.

## Session 37

Practice 5 (2 hr)

To determine self-inductance of a coil by Rayleigh’s method.

## Session 38

Practice 6 (2 hr)

To determine the mutual inductance of two coils

## Session 39

Kirchhoff’s laws for AC circuits

## Session 40

LC Inductor-Capacitor Resonating Circuits

## Session 41

LCR Resonating Circuits

## Session 42

Series Resonance LCR Circuits

## Session 43

Ideal Constant-voltage and Constant-current Sources

## Session 44

Practice 7 (2 hr)

To design series RC circuit and find out the current flowing thorugh each component

## Session 45

Practice 8 (2 hr)

To design series LC circuit and find out the current flowing thorugh each component.

## Session 46

Practice 9 (2 hr)

To design Series RL circuit and find out the current flowing thorugh each component.

## Session 47

Practice 10 (2 hr)

To study the variation in current and voltage in a series LCR circuit

Thevenin theorem

Norton's theorem

## Session 50

Superposition theorem

## Session 51

Assignment 10 (1 hr)

Reciprocity theorem

## Session 52

Maximum Power Transfer Theorem

## Session 53

Practice 11 (2 hr)

Verify the Thevenin

## Session 54

Practice 12 (2 hr)

Verify Norten Theorem

## Case Studies

### Dr. Santosh Kumar Satpathy

##### TEACHER
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Ph.D. (Topic: Effect on Electrical Properties of Rare Earth Doped BiFeO3– PbZrO3) from Sambalpur University with the collaboration of Central Glass & Ceramic Research Institute, Kolkata is presently Assistant Professor at Department of Physics, School of Applied Sciences, CUTM, Bhubaneswar, Odisha, India. I have guided 6 M.Phil students (6 completed ) and 2 PhD student […]

### Mr.T Jaganatha Patro

##### Assistant Professor in School of Applied Sciences Department of Physics
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Mr. T Jaganathapatro obtained his M.Sc and M.Tech degree from Berhampur University. His specializations include Electronics and Communication and Electrodynamics. He has invested 05 years of teaching and mentoring to the students in technical and non-technical institutions. He has published many papers in national and international journals of repute, and also presented papers in national […]