A conducting sphere with radius R is charged until the magnitude of the electric field just outside its surface is E.The electric potential of the sphere, relative to the potential for away, is:

Question

Quizplus · Accepted Answer

The electric potential of a conducting sphere with radius R can be found using the equation V = kQ/R, where k is Coulomb's constant, Q is the charge on the sphere, and R is the radius of the sphere. Since the sphere is charged until the magnitude of the electric field just outside its surface is E, we know that E = kQ/R^2. Solving for Q, we get Q = ER^2/k. Substituting this value of Q into the equation for V, we get V = k(ER^2/k)/R = ER. Therefore, the electric potential of the sphere, relative to the potential for away, is ER.

A Conducting Sphere with Radius R Is Charged Until the Magnitude