 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 