A charge of 24.2 pC is uniformly distributed over a flat surface oftotal area 9.

Question

A charge of 24.2 pC is uniformly distributed over a flat surface oftotal area 9.68 x 10-3 m2. A Gaussian surfaceencloses 22.5 pC of that charge. First find the flatsurface's charge per area. Then use that charge per area tofind the area of the flat surface that is inside the Gaussiansurface. Show which equations are used.

Then use Gauss's law(non-integral form) to find the net electricflux through the Gaussian surface.

Explanation / Answer

Here charge per unit area = total charge / total area = 24.2 pC /9.68 x 10-3 m2 = 2.5*10-9C/m2 Also , let area enclosed in gaussian surface be A Then total charge in gaussian surface = A*charge per unit area => 22.5 *10-12 = 2.5*10-9 *A => A=9 *10-3 m2 also from Gauss law , net electric flux through the Gaussian surface = q/ =22.5 *10-12 /8.85*10-12 = 2.54

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