Determine the amount of charge transferred to a metal ball with a radius of 4 cm if its surface charge

Determine the amount of charge transferred to a metal ball with a radius of 4 cm if its surface charge density was 0.5 * 10-4 C / m2.

To find out the required value of the charge transferred to the metal ball (we assume that it is evenly distributed), we use the formula: ϭ = q / S = q / (4 * Π * R ^ 2), from where we can express: q = ϭ * 4 * Π * R ^ 2.

Data: ϭ – surface density of the required charge (ϭ = 0.5 * 10 ^ -4 C / m2); R is the radius of the metal ball (R = 4 cm, in the SI system R = 0.04 m).

Let’s perform the calculation: q = ρ * 4 * Π * R ^ 2 = 0.5 * 10 ^ -4 * 4 * 3.14 * 0.04 ^ 2 ≈ 10 ^ -6 Cl.

Answer: A charge of 1 μC should have been transferred to the metal ball.