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Two uniformly charged large plane sheets S₁ and S₂ having charge densities $σ_{1} & σ_{2} (σ_{1} > σ_{2})$ 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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qσ1−σ2a2∈0

qσ2−σ1a2∈0

σ1−σ2a2∈0q

σ1−σ22aq∈0

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detailed solution

Correct option is A

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

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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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Ready to Test Your Skills?

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Two uniformly charged large plane sheets S₁ and S₂ having charge densities $σ_{1} & σ_{2} (σ_{1} > σ_{2})$ 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: