Question

# A non-conducting square sheet of side 10 m is charged with a uniform surface charge density,σ=−60μCm2 . Find the magnitude and orientation of electric field vector due to the sheet at a point which is d = 0.02 mm away from the midpoint of the sheet.

A

3.39 x 106 N/C, away from the sheet

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B

6.78 x 106 N/C, towards the sheet

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C

3.39 x 106 N/C, towards the sheet

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D

6.78 x 106 N/C, away from the sheet

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Solution

## The correct option is C 3.39 x 106 N/C, towards the sheet For the point 0.02 mm away, the sheet may be treated as an infinite large sheet. Do you concur? So, |→E|=σ2ε0=1260×10−68.85×10−12Nc =3.39×106Nc [approx] Since the charge on the sheet is negative, field direction will be towards the sheet.

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