Question

A charge of -5.02 nC is uniformly distributed on a thin square sheet of nonconducting material of edge length 21.8 cm. "What is the surface charge density of the sheet"?

Answer 1

Answer:

A charge of -5.02 nC is uniformly distributed on a thin square sheet of nonconducting material of edge length 21.8 cm. "What is the surface charge density of the sheet"?

Explanation:

Surface charge density is a measure of how much electric charge is accumulated over a surface. It can be calculated as the charge per unit area.

We will convert all parameters in SI units.

Charge = Q = -5.02nC

Q  = -5.02×$10^{-9}$C

As it is clear from question that Sheet is a square (All sides will be of equal length)

Area = A = (21.8×$10^{-2}$m) (21.8×$10^{-2}$m)  = 4.75×$10^{-4}$m²

A  = 4.75×$10^{-4}$m²

Surface charge density = Q/A

Surface charge density = (-5.02×$10^{-9}$C)/(4.75×$10^{-4}$m²)

Surface charge density = -1.057×$10^{-5}$ C$m^{-2}$