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Q.

An insulating hollow cube of side l carries uniform charge on all of its surfaces. The surface charge density is σ. Determine the force acting on a face due all the other forces 

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a

σ2l22ε0

b

σ2l26ε0

c

σ2l24ε0

d

σ2l23ε0

answer is B.

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Detailed Solution

Total charge  =  6q
Flux through the cube  =6qε0  dF=(σdA)E
Flux through each face  =qε0F=dE

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An insulating hollow cube of side l carries uniform charge on all of its surfaces. The surface charge density is σ. Determine the force acting on a face due all the other forces