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A metal sphere with a charge Q is surrounded by an uncharged concentric thin spherical shell. The potential difference between them is V. If the shell is now given an additional charge Q, what is the new potential difference between them?

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Potential difference will remain at V because additional charge given to sphere raises the potential of both spherical shell and the metal sphere by an equal amount.
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U-LIKE SERIES-ELECTROSTATIC POTENTIAL AND CAPACITANCE -VERY SHORT ANSWER QUESTIONS
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  15. Write the expressiond for the work done on an electric dipole of dipol...

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