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If a point charge +q is taken first fr...

If a point charge `+q` is taken first from A to C, and then from C to B of a circle drawn with another point charge `+q` at the center (Fig) then along which path more work will be done ?

Text Solution

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As charge `+q` is at the center of the circle, therefore,
`V = V_(B)` If `V_(C)` is potential of point C, then
`V_(C) - V_(A) = V_(C) - V_(B)`
`W_(AC) = q(V_(C) - V_(A))`
`W_(CB) = q (V_(B) - V_(C)) = -q(V_(C) - V_(B))`
`= -q(V_(C) - V_(A))`
`:.` Numbercally, `W_(AC) = W_(CB)`
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