Engineering Electromagnetics — Winter 2023

Define Coulomb’s law and derive the expression for electric field intensity Edue to point charge.

State Gauss’s law. Also derive mathematical formulation for the same.

Derive the expression of gradient of scalar field in all the systems and list computational formulas on gradient.

Write down point and integral forms of all four Maxwell’s equations for steady & time-varying electro-magnetic fields.

Asheet of charge lies in yz plane at x=0 and has uniform surface charge density of 5 pC/m2 . Find the electric field at a point P(-5,0,0) on x-axis.

What is an electric dipole? Derive the expression for the potential and electric field intensity due to a dipole at distances very large from the origin compared to the spacing between the charges of the dipole

Derive the relationship between J &Efor a metallic conductor.

State and derive Biot-Savart’s Law.

Derive an expression for the capacitance of spherical capacitor.

State Ampere’s circuit law and derive the expression for curl of magnetic field intensity.

Three infinite uniform sheets of charges are located in the free space as follows: 3 nC/m2 at z = - 4, 6 nC/m2 at z = 1, and -8 nC/m2 at z = 4. Determine Eat the point P(2, 5, -5) & Q(4, 2, -3).

Derive electrostatic Boundary conditions for Dielectric to Dielectric interface

Define Torque. Derive the equation of Torque on a close current carrying loop which is placed in steady magnetic field.

With the help of necessary expressions, explain uniform plane wave propagation/motion in free space

Acurrent filament carrying 15 Ain the a direction lies along the entire z z axis. Find Hin rectangular coordinates at: (i) PA(201/2, 0, 4).

Explain Faraday’s law with neat diagram

State and prove Poynting theorem relating to the flow of energy at a point in space.