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19 December, 20:34

A spherical conductor of 9-cm radius is charged to 100 volt potential. Calculate the energy stored in it.

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  1. 19 December, 22:02
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    The energy stored in the conductor is 5*10^-8 J.

    Explanation:

    let v be the potential of the conductor.

    let Q be the charge on the conductor.

    let k = 9*10^9 be the coulomb constant.

    let r be the radius of the conductor.

    then, the potential of the conductor is given by:

    V = k*Q/r

    Q = V*r/k

    = [ (100) * (9*10^-2) ] / (9*10^9)

    = 1*10^-9 C

    then, the energy stored in the conductor is given by:

    E = 1/2*Q*V

    = 1/2 * (1*10^-9) * (100)

    = 5*10^-8 J

    Therefore, the energy stored in the conductor is 5*10^-8 J.
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