GATE 2022 : Electromagnetic Theory Quiz 5

An H due to a current source is given by

= (y cos ax) + (y + e^x)

The magnitude of current density over the yz plane is:

Consider the following statements regarding position and laplace equation:

1. Poisson’s equation is valid in a charged region whereas laplace equation is valid in a charge free region.

2. Laplace equation is non-homogeneous differential equation and Poisson’s equation is homogeneous differential equation. Which of the above statements is/are NOT correct?

The separation between the plates of a capacitor is ‘d’. A dielectric slab of thickness  and dielectric constant 5 is inserted between the plates of the capacitor. After insertion of dielectric, capacitance becomes λ times the original capacitance. Determine the value of λ.