Electromagnetic Theory Mock Tests

The group velocity v_g of a wave packet is related to the phase velocity v_p by (in a dispersive medium):

The Biot-Savart law gives the magnetic field dB at position r due to a current element Idl as:

The condition for total internal reflection of an electromagnetic wave at an interface between two dielectric media (n₁ > n₂) is that the angle of incidence θ must satisfy:

The Gauss's law for magnetism states that:

The Poynting vector S is defined as (where E is the electric field and B is the magnetic field):

The Poynting theorem expresses which fundamental conservation law?

In electromagnetism, the Lorentz gauge condition on the scalar potential φ and vector potential A is:

A point charge q is placed at distance d from an infinite grounded conducting plane. The magnitude of the induced surface charge density on the plane at the point closest to q is: