What is the charge (in nC) on the ball?

Question

The electric field strength 1.7 cmcm from the surface of a 10-cmcm-diameter metal ball is 8.0×10⁴ N/CN/C .

Answer 1

Step 1:

The electric field strength is .

The distance between surface to metal ball is .

The diameter of the metal ball is .

The radius of the metal ball is .

The total distance from surface to center of the ball is .

Electric field due to charged particle is , where

is the permittivity of free space .

is the charge of the electron.

is the distance between the two point charges.

Step 2:

Find the charge of the metal ball.

Substitute , and in .

.

The charge on the metal ball is .

Solution:

The charge on the metal ball is .