A nonconducting, thin plane sheet of charge carries a uniform charge per unit ar

Question

A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 5.15 C/m2 as in the figure below. sur face Gaussian surface (a) Find the electric field at a distance of 8.24 cm from the plate. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error (b) Explain whether your result changes as the distance from the sheet is varied

Explanation / Answer

electric field at a distance of 8.24 cm = sigma/(2*epsilon)

where sigma=charge per unit area

then electric field at a distance of 8.24 cm=5.15*10^(-6)/(2*8.85*10^(-12))=2.9096*10^5 N/C

part b:

as the formula does not depend upon any distance variable, the result wont change as distance from sheet is varied.

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