Self Assessment Quiz

1. If is a solution of Laplace’s equation, show that one or more derivatives of with respect to rectangular coordinates also satisfy Laplace’s equation.

2. Using the property of solutions to Laplace’s equation show that there cannot be an electrostatic field inside a hollow conductor unless there is a charge in that region.

3. A conductor has a hollow scooped out inside. The conductor carries a charge and the potential of the conductor is with respect to its zero at infinity. Show that the potential inside the hollow is also

4.Consider two point conductors separated by a distance of 10m. One of the conductors is maintained at a potential of 100 V while the other maintained at 200 V.  Determine the potential function and the corresponding electric field .