An inductor of inductance 2 mH is connected across a charged capacitor of 5 `mu` F . Let q denote the instaneous charge on the capacitor and `i` the current in the circuit . Maximum value of q is Q = 200 `mu` C.
(a) When q = 100 `mu` C what is the value of /di/dt / ?
(b) When q = 200 `mu` C what is the value of `i` ?

Explanation

To solve the problem step by step, we will address both parts of the question.

### Given Data:
- Inductance, \( L = 2 \, \text{mH} = 2 \times 10^{-3} \, \text{H} \)
- Capacitance, \( C = 5 \, \mu\text{F} = 5 \times 10^{-6} \, \text{F} \)
- Maximum charge, \( Q = 200 \, \mu\text{C} = 200 \times 10^{-6} \, \text{C} \)

### (a) When \( q = 100 \, \mu\text{C} \), find \( \frac{di}{dt} \).
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