The plates of a capacitor of capacitance `10(mu)F`,charged to `60(mu)C`,are joined together by a wire of resistance `10(Omega)`at t=0.Find the charge on the capacitor in the circuit at (a)t=0,(b)t=30(mu)s,(c )t=120(mu)s and (d)t=1.0ms.

Explanation

To solve the problem step by step, we will use the formula for the charge on a discharging capacitor:

\[ Q(t) = Q_0 e^{-t/\tau} \]

where:
- \( Q(t) \) is the charge on the capacitor at time \( t \),
- \( Q_0 \) is the initial charge on the capacitor,
- \( \tau \) is the time constant given by \( \tau = RC \),
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