Considering a simple physical model of a dielectric as an aggregate of a large number of simple harmonic oscillators, obtain an expression for the dielectric constant.
In electromagnetic theory, a dielectric material is often modeled as an aggregate of a large number of simple harmonic oscillators. These oscillators represent bound electrons that experience restoring forces when displaced from their equilibrium positions by an applied electric field.
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Two identical infinite non-conducting sheets having equal positive surface charge densities are kept parallel to each other as shown in the Figure below. Determine the electric field at a point in (a) region A on the left of the sheet 1, (b) region B between the sheets and (iii) region C on the right of the sheets.
Obtain the general solution of the two-dimensional Laplace’s equation in spherical polar coordinates given by
Using the multipole expansion technique, obtain the expression for the magnetic vector potential due to a localized current distribution at a distant point.
A point charge Q is situated at a distance D from the centre of an earthed conducting sphere of radius R where D > R. Using the method of images, determine the value and position of image charge and calculate the potential and electric field at a point outside the sphere.
A toroid has mean circumference 0.4 m and has 600 turns, each carrying a current of 0.12 A. (a) Calculate H and B if the toroid has an air core. (b) Calculate B and the magnetisation M if the core is filled with iron of relative permeability 4000
Obtain an expression for torque on a current loop kept in a uniform magnetic field.
Calculate the magnetic field inside and outside of a very long solenoid consisting n turns per unit length on a cylinder of radius R and carrying a steady current I.