Question

What is the excess charge on a conducting sphere of radius r = 0.31 m if the potential of the sphere is 1375 V and V = 0 at infinity?

Answer 1

Given Information:

Radius = r = 0.31 m

Potential difference = V = 1375 Volts

Required Information:

charge = q = ?

Answer:

q = 4.741x10⁻⁸ C

Solution:

`V = kq/r`

Where k = 8.99x10⁹ N.m²/C² is the Coulomb's constant

Re-arranging the equation to find the q

`q = Vr/k`

q = (1375*0.31)/8.99x10⁹

q = 4.741x10⁻⁸ C = 47.41 nC