a. Show that the capacitance C of an isolated conducting sphere of radius r is given by

Question:

a. Show that the capacitance C of an isolated conducting sphere of radius r is given by the formula:

C = 4πε₀r

This diagram shows two identical conducting brass spheres of radius 10Cm mounted on insulating stands. Sphere A has a charge of + 5.0 × 10⁻⁸ C and sphere B is uncharged.

b. i. Calculate the potential at the surface of sphere A.

ii. Calculate the energy stored on sphere A.

Sphere B is brought up to sphere A and is touched to it so that the charge is shared between the two spheres, before being taken back to its original position.

c. i. Calculate the energy stored on each sphere.

ii. Suggest why there is a change in the total energy of the system.