Two uncharged metal spheres, spaced 25.0 cm apart, have a capacitance of 26.0 pF. How much work would it take to move 12.0 nC of charge from

Question

Two uncharged metal spheres, spaced 25.0 cm apart, have a capacitance of 26.0 pF. How much work would it take to move 12.0 nC of charge from one sphere to the other? Answer in Joules.

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Thu Thảo 5 years 2021-07-16T20:54:02+00:00 1 Answers 165 views 0

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  1. thuthuy
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    2021-07-16T20:55:04+00:00
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    Answer:

    W=2.76\times 10^{-6}\ J

    Explanation:

    Given that,

    The distance between two spheres, r = 25 cm = 0.25 m

    The capacitance, C = 26 pF = 26×10⁻¹² F

    Charge, Q = 12 nC = 12 × 10⁻⁹ C

    We need to find the work done in moving the charge. We know that, work done is given by :

    U=\dfrac{Q^2}{2C}

    Put all the values,

    U=\dfrac{(12\times 10^{-9})^2}{2\times 26\times 10^{-12}}\\\\U=2.76\times 10^{-6}\ J

    So, the work done is 2.76\times 10^{-6}\ J.

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