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.

Explanation

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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