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×[tex]10^{-9}[/tex]C
As it is clear from question that Sheet is a square (All sides will be of equal length)
Area = A = (21.8×[tex]10^{-2}[/tex]m) (21.8×[tex]10^{-2}[/tex]m) = 4.75×[tex]10^{-4}[/tex]m²
A = 4.75×[tex]10^{-4}[/tex]m²
Surface charge density = Q/A
Surface charge density = (-5.02×[tex]10^{-9}[/tex]C)/(4.75×[tex]10^{-4}[/tex]m²)
Surface charge density = -1.057×[tex]10^{-5}[/tex] C[tex]m^{-2}[/tex]