 # Electricity and Magnetism Teacher

##### Dr. Santosh Kumar Satpathy Category

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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

Upon successful completion of this course, students will be able to:

• Understand the characteristics and properties of electric and magnetic fields.
• Understand the behavior and use of dielectrics.
• Understand the Maxwell equation and their usefulness.
• Experiences electricity & magnetism in practice mode

## 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 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 