Electromagnetic Fields

What do you mean by scalar and vector quantities?

Write the divergence theorem.

Write the Coulomb’s law.

What do you understand by dielectric constant and dielectric strength?

Write the uniqueness theorem.

Write the Biot–Savart’s law.

Discuss magnetic flux density.

What do you mean by magnetic scalar potential?

What is the difference between transformer and motional electromotive forces?

What do you mean by skin depth & skin resistance?

Given point P(-2, 6, 3) in rectangular coordinates. Express this point P in cylindrical & spherical coordinates.

Write the Maxwell’s equations for static fields in point and integral form. Also, discuss the laws associated with these equations.

What is the current density which produces a magnetic field of $H=28\sin x{\text{ a}}_y$?

If a wave with a frequency of 100 MHz propagates in free space, find the propagation constant.

Planes z = 0 and z = 4 carry current $K=-10{\text{a}}_x\text{ A/m}$ and $10{\text{a}}_x\text{ A/m}$ respectively, determine H at (1, 1, 1).

Derive the expression for energy stored in parallel plate capacitor.

A magnetic material has ${\mu }_r=10/\pi$ and is in a magnetic field of strength $H=5{\rho }^3{\text{a}}_{\varphi }\text{ A/m}$. Find the magnetization.

What is Gauss’s Law? Consider a uniformly charged sphere of radius ‘a’ with uniform charge density ${\rho }_v{\text{ C/m}}^3$, find ‘D’ everywhere using Gauss’s law.

Describe the analogy between electric and magnetic fields.

Discuss the magnetic boundary conditions.

Explain the following - (a) Displacement current (b) Poynting theorem (c) Electric potential

Conducting spherical shells with radii a = 5 cm & b = 30 cm are maintained at a potential difference of 100 V such that V(r = b) = 0 V and V(r = a) = 100 V. Determine V and E in the region between the shells.