Electromagnetic Theory

EE25C10:

Electromagnetic Theory

Course Objectives:

1. To introduce the fundamental concepts of electric, magnetic, and electromagnetic fields

2. To develop the ability to analyze field behavior, field distributions, and electromagnetic wave propagation using basic mathematical and engineering principles.

3. To enhance problem-solving and visualization skills through graphical representation, analytical methods, and practical applications of electromagnetics.

Electrostatics I

Sources, effects and exposure limits of electromagnetic fields, Coordinate systems, Vector calculus-Gradient, Divergence and Curl, theorems and applications, Coulomb’s Law – Electric field intensity – Electric Field due to discrete and continuous charges – Gauss’s law and applications.

Activity:

Graphical Representation and interpretation of fields (using Mathematical Development Tool)

Computation, graphical representation and interpretation of Vector addition,

subtraction, multiplication - dot product and cross product in 2-D and 3-D Gradient fields, Divergence fields & Curl fields.

Electrostatics II

Electric potential – Electric fields and equipotential plots, Uniform and Non-Uniform fields, Utilization factor – Electric field in free space, conductors, dielectric -Dielectric polarization – Dielectric strength , Electric fields in multiple dielectrics – Boundary conditions, capacitance, Energy density, Poisson’s and Laplace’s equations, Applications.

Activity:

Sketch equipotential lines, E-field lines, and verify boundary conditions at dielectric interfaces for parallel plate, coaxial, and point charge geometries on graph paper.

Magnetostatics

Lorentz force, magnetic field intensity (H) – Biot– Savart’s Law - Ampere’s Circuit Law- H due to straight conductors, circular loop, infinite sheet of current– Magnetic flux density (B) – B in free space, conductor, magnetic materials – Magnetization,

Magnetic field in multiple media – Boundary conditions, Scalar and vector potential,

Poisson’s Equation, Magnetic force, Torque, Inductance and mutual inductance, Energy density, Applications.

Activity:

Quiz, assignment, visual demonstration, seminar, review of GATE questions

Electrodynamic Fields

Magnetic Circuits - Faraday’s law – Transformer and motional EMF – Displacement current - Maxwell’s equations (differential and integral form) – Time varying potential – Relation between field theory and circuit theory, Applications.

Activity:

Quiz, assignment, visual demonstration, seminar, review of GATE questions

Electromagnetic Waves

Electromagnetic Wave Generation and Wave equations – Wave parameters; velocity, intrinsic impedance, propagation constant – Waves in free space, lossless and lossy dielectrics, conductors-skin depth, Poynting vector, Plane wave reflection and refraction – Standing Wave, Applications.

Activity:

Quiz, assignment, visual demonstration, seminar, review of GATE questions

Tasks:

T1: Perform the comparison between Electric Field and Magnetic Field .

T2: Prepare a report on biological effects and safety exposure limits of EMF..

T3: Plot equipotential surfaces for different charge configurations..

T4: Investigate applications of dielectric materials in cables and capacitors..

T5: Relate electromagnetic field theory to electrical circuit concepts.

T6: Analyze power flow using the Poynting vector.

Weightage: Continuous Assessment: 40%, End Semester Examinations: 60%.

Assessment Methodology: Assignments (20%), Solution to application-oriented problems using software(20%),review of GATE questions (20%),Internal

Examinations (40%).

References:

1. Mathew N. O. Sadiku, S.V. Kulkarni, ‘Principles of Electromagnetics’, 6th Edition, Oxford University Press, 2015, Asian Edition.

2. Bhag Singh Guru and Hüseyin R. Hiziroglu “Electromagnetic field theory

fundamentals”, Cambridge University Press; Second Revised Edition, 2009.