There is a spherical cavity in the middle of a piece of metal. A load of 1x10^-6 C is placed in the center of this cavity and the radius of the cavity is 6 cm. Using Gauss's law;
a) Calculate the electric field at the midpoint between the center and the surface of the cavity.
b) Calculate the electric field at any point on the metal surface outside the cavity.
ADDITIONAL INFORMATION: ε0=8,854× 10−12 F/m