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An isolated coductor, initially free fro...

An isolated coductor, initially free from charge, is charge by repeated conacts with a plate, which afrer each contact has a charge Q due to some mechanism.If q is the charge on the conductor after the first operation, prove that the maximum charge that can be give to the conductor in this way is `Qq//Q-q`.

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An insulated conductor initiallly free from charge is charged by repeated contacts with a plate which after each contact is replenished to a charge Q . If q is the charge on the conductor after first operation prove that the maximum charge which can be given to the conductor in this way is (Qq)/(Q-q)

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Knowledge Check

  • The energy of a charged capacitor is given by the expression (q = charge on the conductor and C = its capacity

    A
    `(q^(2))/(2C)`
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    D
    changes at a rate - 2b
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    A
    Q,Q
    B
    Q/2, Q/2
    C
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    D
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