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Electro Magnetic Field lecture from IIT Madras.
ELECTROMAGNETIC FIELDS SYLLABUS :
The objective of this course is to introduce the concepts of electric field and magnetic fields and their
applications which will be utilized in the development of the theory for power transmission lines and
UNIT – I
Electrostatic Fields – Coulomb’s Law – Electric Field Intensity (EFI) – EFI due to a line and a surface
charge – Work done in moving a point charge in an electrostatic field – Electric Potential – Properties of
potential function – Potential gradient – Guass’s law – Application of Guass’s Law – Maxwell’s first law, div
( D )=rv
UNIT – II
Conductors and Dipole:
Laplace’s and Poison’s equations – Solution of Laplace’s equation in one variable. Electric dipole – Dipole
moment – potential and EFI due to an electric dipole – Torque on an Electric dipole in an electric field –
Behavior of conductors in an electric field – Conductors and Insulators.
UNIT – III
Dielectric & Capacitance :
Electric field inside a dielectric material – polarization – Dielectric – Conductor and Dielectric – Dielectric
boundary conditions, Capacitance – Capacitance of parallel plate and spherical and co-axial capacitors
with composite dielectrics – Energy stored and energy density in a static electric field – Current density –
conduction and Convection current densities – Ohm’s law in point form – Equation of continuity
UNIT – IV
Magneto Statics :
Static magnetic fields – Biot-Savart’s law – Oesterd’s experiment - Magnetic field intensity (MFI) – MFI
due to a straight current carrying filament – MFI due to circular, square and solenoid current – Carrying
wire – Relation between magnetic flux, magnetic flux density and MFI – Maxwell’s second Equation,
UNIT – V
Ampere’s circuital law and its applications
Ampere’s circuital law and its applications viz. MFI due to an infinite sheet of current and a long current
carrying filament – Point form of Ampere’s circuital law – Maxwell’s third equation, Curl (H)=Jc, Field due
to a circular loop, rectangular and square loops.
UNIT – VI
Force in Magnetic fields :
Magnetic force - Moving charges in a Magnetic field – Lorentz force equation – force on a current element
in a magnetic field – Force on a straight and a long current carrying conductor in a magnetic field – Force
between two straight long and parallel current carrying conductors – Magnetic dipole and dipole moment –
a differential current loop as a magnetic dipole – Torque on a current loop placed in a magnetic field
UNIT – VII
Magnetic Potential :
Scalar Magnetic potential and its limitations – vector magnetic potential and its properties – vector
magnetic potential due to simple configurations – vector Poisson’s equations.
Self and Mutual inductance – Neumans’s formulae – determination of self-inductance of a solenoid and
toroid and mutual inductance between a straight long wire and a square loop wire in the same plane –
energy stored and density in a magnetic field. Introduction to permanent magnets, their characteristics and
UNIT – VIII
Time Varying Fields :
Time varying fields – Faraday’s laws of electromagnetic induction – Its integral and point forms –
Maxwell’s fourth equation, Curl (E)=-¶B/¶t – Statically and Dynamically induced EMFs – Simple problems
-Modification of Maxwell’s equations for time varying fields – Displacement current – Poynting Theorem
and Poynting vector.
1. “Engineering Electromagnetics” by William H. Hayt & John. A. Buck Mc. Graw-Hill Companies, 7th
2. “Electro magnetic Fields” by Sadiku, Oxford Publications
REFERENCE BOOKS :
1. “Introduction to Electro Dynamics” by D J Griffiths, Prentice-Hall of India Pvt.Ltd, 2nd editon
2. “Electromagnetics” by J P Tewari.
3. “Electromagnetics” by J. D Kraus Mc Graw-Hill Inc. 4th edition 1992.
4. “Electromagnetic fields”, by S. Kamakshaiah, Right Publishers, 2007.