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

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"?

Step-by-step 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)`