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.

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 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

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Case Studies

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