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A capacitance C charged to a potential d...

A capacitance C charged to a potential difference V is discharged by connecting its plates through a resistance R. Find the heat dissipated in one time constant after the connections are made. Do this by calculating `int i^(2)Rdt`and also by finding the decrease in the energy stored in the capacitor.

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To solve the problem step by step, we need to find the heat dissipated in one time constant after the capacitor is discharged through a resistor. We will do this by calculating the integral of \(i^2 R dt\) and also by finding the decrease in the energy stored in the capacitor. ### Step 1: Initial Charge on the Capacitor The initial charge \(Q_0\) on the capacitor when charged to a potential difference \(V\) is given by: \[ Q_0 = C \cdot V \] ...
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Knowledge Check

  • A capacitor is charged through a potential difference of 200 V, when 0.1C charge is stored in it. The amount of energy released by it, when it is discharged is

    A
    5 J
    B
    10 J
    C
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    D
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