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"?

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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]

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