Electricity and Magnetism

Teacher

Dr. Santosh Kumar Satpathy

Category

Core Courses

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Course Name : Electricity and Magnetism

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.

Course Outcomes

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

COs Course outcomes
CO1 Understanding the characteristics and properties of electric and magnetic fields.
CO2 Understanding and gaining knowledge on the behavior and use of dielectrics.
CO3 Understand the concepts of magnetism
CO4 Understand the concepts of electoral circuits
CO5 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 Plan

Session 1

Session 3

Applications to charge distributions with spherical

Youtube-https://www.youtube.com/watch?v=-P8-WtuasNI

PPT-https://www.slideshare.net/AbeerKamal1/2180-phys-lect-3

Session 4

Session 5

Assignment 2 (1 hr)

Laplace’s and Poisson equations

PPT-https://www.slideshare.net/abhishekchoksi56/poissons-and-laplaces-equation

Session 7

Force and Torque on a dipole

Youtube-https://www.youtube.com/watch?v=dPAfHvCI20s

Session 10

Assignment 3 (1 hr)

Surface charge and force on a conductor

Youtube-https://www.youtube.com/watch?v=GdDc3hQosuk

PPT-https://www.slideshare.net/ermanoj1466/electrostatics-12892951

Session 11

Practice 1 (2 h)

Determination dielectric constant by using parallel plate capacitors

Youtube-https://www.youtube.com/watch?v=6ivggE9Mj3I

Session 12

Session 13

Parallel-plate capacitor. Capacitance of an isolated conductor.

Youtube-https://www.youtube.com/watch?v=LO56WRcg6jM

PPT-https://www.slideshare.net/ShwethaInspiring/electrostatics-4

Session 19

Session 23

Session 28

Session 29

Practice 2 (2 hr)

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

Youtube-http://vlab.amrita.edu/?sub=1&brch=192&sim=972&cnt=1

Session 30

Practice 3 (2 hr)

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

Youtube-http://vlab.amrita.edu/?sub=1&brch=192&sim=1049&cnt=1

Session 36

Practice 4 (2 hr)

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

Vlab-http://vlab.amrita.edu/?sub=1&brch=192&sim=859&cnt=1

Session 37

Practice 5 (2 hr)

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

Youtube-https://www.youtube.com/watch?v=FWa3WCxcZ7s&t=6s

Session 38

Practice 6 (2 hr)

To determine the mutual inductance of two coils

Youtube-https://www.youtube.com/watch?v=ZDBfDTEMGaQ

Session 40

Session 44

Practice 7 (2 hr)

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

Vlab-http://vlab.amrita.edu/?sub=1&brch=75&sim=320&cnt=1

Session 45

Practice 8 (2 hr)

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

Vlab-http://vlab.amrita.edu/?sub=1&brch=75&sim=318&cnt=1

Session 46

Practice 9 (2 hr)

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

Vlab-http://vlab.amrita.edu/?sub=1&brch=75&sim=332&cnt=1

Session 47

Practice 10 (2 hr)

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

Vlab-http://vlab.amrita.edu/?sub=1&brch=75&sim=330&cnt=1

Session 51

Assignment 10 (1 hr)

Reciprocity theorem

Youtube-https://www.youtube.com/watch?v=5gsH8igDmyg&t=2s

Session 53

Practice 11 (2 hr)

Verify the Thevenin

Vlab-http://vlab.amrita.edu/?sub=1&brch=75&sim=313&cnt=1

Session 54

Practice 12 (2 hr)

Verify Norten Theorem

Vlab-http://vlab.amrita.edu/?sub=1&brch=75&sim=312&cnt=1

Case Studies

Case Studies

Our Main Teachers

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 […]