A conducting spherical electrode of radius a is suspended with its center at a height h above the bottom of a large metal tank filled with a conducting medium having a conductivity s. Derive a formula for the resistance between the electrode and the metal tank. The tank is large enough to be considered as infinite. The electrode and the tank may be assumed to be made of perfect conductors.

A conducting spherical electrode of radius a is suspended with its center at a height h above the bottom of a large metal tank filled with a conducting medium having a conductivity s. Derive a formula for the resistance between the electrode and the metal tank. The tank is large enough to be considered as infinite. The electrode and the tank may be assumed to be made of perfect conductors.