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Find the ratio of electric work done in bringing a charge `q` from `A` to `B(W_(AB))` and that from `B` to `C(W_(BC))` in a sphere of charge `Q` distributed uniformly throughout its volume. A. `1`B. `1.5`C. `0.75`D. None of these |
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Answer» Correct Answer - A Work done by electric field `W_(AB) = q(V_(A) - V_(B))` `= q[(3Q)/(8 pi epsilon_(0)R)-(Q)/(4pi epsilon_(0)R)]` `= (Qq)/(8pi epsilon_(0)R)` `W_(BC) = q(V_(B) - V_(C))` `= q[(Q)/(4 pi epsilon_(0)R)-(Q)/(8pi epsilon_(0)R)]` `= (Qq)/(8pi epsilon_(0)R)` `rArr (W_(AB))/(W_(BC)) = 1` |
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