Question

# A plane square sheet of charge of side 60 cm has uniform surface charge density. A electron at 1. cm from the centre of the sheet experiences a force of 1.6×10−12N directed away from the sheet. The total charge on the plane square sheet is (ε0=8.854×10−12C2m−2N−1)

A
16.25μC
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B
22.15μC
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C
44.27μC
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D
14.27μC
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E
63.74μC
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Solution

## The correct option is B −63.74μCElectron is 1cm from the sheet of charges and is far away from the edges of the sheet. Therefore, the sheet looks effectively infinite.E=q02ϵ0A or F=−eE=−e(q02ϵ0A)⇒q0=−2ϵ0AFe=−2×8.854×10−12×(0.6)2×1.6×10−121.6×10−19=−63.74×10−6C=−63.74μC

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