Self Assessment Quiz

1. A charge + Q is uniformly distributed over an annulus with an inner radius R and outer radius 2R. find the potential at a distance z from the annulus along its axis.

2. A positive charge +q is released from rest from the centre of the annulus of Problem 1 above. What is the final velocity attained by this mass.

3. An infinite charged plane having a surface charge density is perpendicular to the z-axis at z=0. Obtain an expression for the electric potential and sketch the potential function.

4. A sphere of radius R has a charge density   inside the sphere where r is the distance from the origin. Find the electric field and obtain an expression for the potential from the field.