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