Which of the following represents the magnitude of the potential (voltage) V as a function of r, the distance from the center of a conducting sphere charged with a positive charge Q, when r > R (the radius of the sphere)? Explain

A. 0
B. kQ/R
C. kQ/r
D. kQ/R^2

1 answer

C. kQ/r

When r > R, the electric potential V outside of a charged conducting sphere is given by V = kQ/r, where k is the Coulomb's constant, Q is the total charge on the sphere, and r is the distance from the center of the sphere. This relationship shows that the potential decreases inversely with the distance from the center of the sphere. Therefore, option C represents the correct magnitude of the potential as a function of r when r > R.