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Two metal spheres `("radii" r_1, r_2 "with" r_1 lt r_2)` are very far apart but are connected by a thin wire. If their combined charges is Q, then what is their common potential ?A. `k Q//(r_1 + r_2)`B. `kQ//(r_1 - r_2)`C. `-k Q//(r_1 + r_2)`D. `-kQ//r_1 r_2` |
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Answer» Correct Answer - a `V_C = V_1 = V_2` `(kq_1)/r_(1) = (kq_2)/r_(1)` `q_(1)/q_(2) = r_(1)/r_(1)` …(i) `q_1 + q_2 = Q` …(ii) From Eqs. (i) and (ii), we get `q_1 = (Q r)/(r_1 + r_2)` Putting `V_(1)`, we get `V_(C )=(kQ)/(r_(1)-r_(2))` |
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