Question

An isolated conducting sphere with a radius r is charged to $+Q$,, then a second conducting sphere, with a radius $r/2$ is attached to it with a wire. The spheres are much further apart than their radius.
Which is true about after they are combined for a few seconds?

• A. The spheres each have the same amount of charge $+Q$.
• B. One sphere has a charge of $+Q$ the other has a charge of $Q$.
• C. Both spheres have the same electric field coming off of it.
• D. Both spheres are at the same potential.

Answer 1

Answer: (D)

Both spheres are at the same potential.

Electric field of a conductor can be taken as the level of charge in conductor therefore charge will flow until their level of charge become equal i.e. potentials become equal . Both spheres will be at same potential after attatchment .