How much electrical charge is needed to raise an isolated metal sphere of radius...?

Question

How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 ´ 106 V?

Answer 1

Electric potential is given by V = kq / r. Rearrange that to solve for the charge.

q = Vr / k

= ((1.0 x 10^6 V) x 1.0 m) / (9.0 x 10^9 Nm²/C²)

= 1.1 x 10^-4 C