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Two uniformly charged large plane sheets...

Two uniformly charged large plane sheets `S_1` and `S_2` having charge densities `sigma_1` and `sigma_2` (`sigma_1gtsigma_2`) are placed at a distance d parallel to each other. A charge `q_0` is moved along a line of length a(altd) at an angle `45^@` with the normal to `S_1`. Calculate the work done by the electric field

Text Solution

Verified by Experts

The correct Answer is:
A, B
Electric field due to `S_1`, `E_1=(sigma_1)/(epsilon_0)`
Electric field due to `S_2`, `E_2=(sigma_2)/(epsilon_0)`
`:.` `E=E_1-E_2`
`=(sigma_1-sigma_2)/(epsilon_0)` `(:' sigma_1gtsigma_2)`
Work done by electric field
`W=(q_0E)a cos 45^@=q_0Exx(a)/(sqrt2)`
`:.` `W=(q_0(sigma_1-sigma_2a)a)/(sqrt2epsilon_0)`
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