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A uniform electric field E exists betwee...

A uniform electric field E exists between two oppositely charged plates (Fig. 3.38). What will be the work done in moving a charge q along a closed rectangular path ?
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Refer to Fig, work done in moving a charge q on path abcd.
`= q vec(E). vec((ab)) + q vec(E). vec((bc)) +q vec(E). vec((cd)) + q vec(E) . vec((da))`
`= qE (ab) cos 90^(@) + qE (bc) cos 0^(@)`
`+ qE (cd) cos 90^(@) + qE(da) cos 180^(@)`
`= 0 + qE (bc) + 0 - qE (da) = 0 ( :. bc = da)`
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