GATE 2022 : Electromagnetic Theory Quiz 1

The vector field given by

 is

Cylindrical co-ordinate of vector is given by then find its cartesian co-ordinate at point P (5, 2, 1)

Given the potential,  What is the electric flux density D at

Given that . Find the total charge enclosed by the cylinder of radius 2 m with –3 ≤ z ≤ 3 m

A vector magnetic potential is given by:

The magnetic flux density at  will be

If _, then find the divergence of at (1, 0, – 1)