[LECS/EM-ALL] Electromagnetic Theory

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Ch 1:: Charged Particles in Electric and Magnetic Fields                                                                         

Electric and Magnetic Fields

Units and Dimensions in E. M. Theory
The SI units in use in electromagnetic theory are explained and values of some important  constants given.

Lorentz Force
The force on a point charge, called the Lorentz force, is explained.

Defining the Electric and Magnetic Fields

We use the Lorentz force on a unit positive charge to define the electric and magnetic fields.

Motion of charged Particles in Electric and Magnetic Fields

Thomson’s Method for e/m

Thomson passed electrons through a region having mutually perpendicular electric and magnetic field, and both perpendicular to the velocity of the electrons. The fields were adjusted so as to produce no deflection. This enabled him to measure the \(e/m\) of electrons. 

Thomson’s parabola method

The parabola method was used to measure charge to mass ratio of the electron by measuring the deflection of the electrons when they pass through a uniform electric field. The method is described here and an expression for \(e/m\) in terms of the deflection of the electron. 

Cyclotron Motion

The cyclotron was invented to accelerate charged particles by means of electric field as they move in a circle due to a magnetic field. Here the parameters of orbit of a charged particle in a magnetic field are obtained. 

Hall Effect

The Hall effect described here provided an early method to study the effect of magnetic field on a current. An expression for Hall voltage and Hall resistance is obtained in this section. The Hall effect continues to be an important area due to discoveries of quantized hall effect and fractional Hall effect.

And More ....

Work under progress

Ch 02 :: Continuous Charges - Gauss Law  
Ch 03 :: Electric Potential and Electrostatic Energy  
Ch 04 :: Conductors in Electric field
Ch 05 :: Maxwell's Equations in Dielectrics
Ch 06 :: Boundary Value Problems  in Presence of Dielectric Media
Ch 07 :: Magnetic FieldEM08 :: Magnetostatics of Magnetic Media
Ch 09 :: Electromagnetic Induction
Ch 10 :: Maxwell's Equations in Time Varying Situations
Ch 11 :: Electromagnetic Waves
Ch 12 :: Relativistic Electrodynamics
Ch 13 :: Potentials and Fields of a Moving Point Charge
Ch 14 :: Radiation