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:

\[ q(t) = q_0 e^{-\frac{t}{RC}} \]

where:
- \( q(t) \) is the charge at time \( t \),
- \( q_0 \) is the initial charge,
- \( R \) is the resistance,
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