Self Assessment Quiz

1. Verify if the following field can represent an electrostatic field in a given region.

If yes, find a potential function and determine the charge density at the point (2,3,0).

2. The electric field in certain region of space is given in spherical polar coordinates as . Determine the charge density.

3. Find the electric field of a dipole on a point (a) along its axis and (b) along its perpendicular bisector in Cartesian coordinates.

4. Show that the magnitude of the electric field of a dipole at an angle  to the axis of the dipole is given by .