Electromagnetic Theory-Gauss Law and Applications (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 4

Question

Consider a hallow charged shell of inner radius and outer radius . The volume charge density is (k is a constant) in the region . The magnitude of the electric field produced at distance is –

Question

A static charge distribution gives rise to an electric field of the form , where and R are positive constants. The charge contained within a sphere of radius R, centered at the origin is: (December)

Question

A solid of radius R has a charge density, given by ; where is the radial coordinate and and R are positive constants. If the magnitude of the electric field at is times that at then the value of a is – (December)

Question

An infinite solenoid with its axis of symmetry along the z – direction carries a steady current .

The vector potential at a distance from the axis, (December)