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Q.

Two uniformly charged large plane sheets S1 and S2 having charge densities σ1&σ2(σ1>σ2) are placed at a distance (d) parallel to each other. A charge q is moved along a line of length (a < d) at 45° with normal to S1. Then, work done by electric field is:

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a

qσ1−σ2a2∈0

b

qσ2−σ1a2∈0

c

σ1−σ2a2∈0q

d

σ1−σ22aq∈0

answer is A.

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Detailed Solution

∴ Net field at q=E1−E2                        E=σ1−σ2ϵ0 ∴       W=qE×a2=qEσ1−σ2a2ϵ0
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