Self Assessment Quiz

1. A conducting sphere of radius R is kept in an electrostatic field given by  . Obtain an expression for the potential in the region outside the sphere and obtain the charge density on the sphere

2.A unit disk  has no sources of charge on it. The electric field on the rim  is given by , where  is the polar angle. Obtain an expression for potential inside the disk.

3. (Hard Problem) A cylindrical conductor of infinite length  has its curved surfaces divided into two equal halves, the part with polar angle  has a constant potential  while the remaining half is at a potential . Obtain an expression  for the potential inside the cylinder. Verify your result by calculating the potential on the surface at  and at .