A 200 mH (pure) inductor, and a `5muF` (pure) capacitor , are connected , one by across a sinusoidal ac voltage source `V=[70.7 sin (1000t)]` voltage. Obtain the expressions for the current in each case.

Explanation

To solve the problem, we need to find the expressions for the current through a 200 mH inductor and a 5 µF capacitor when connected to an AC voltage source given by \( V(t) = 70.7 \sin(1000t) \).

### Step 1: Identify the given values
- Inductance, \( L = 200 \, \text{mH} = 200 \times 10^{-3} \, \text{H} \)
- Capacitance, \( C = 5 \, \mu\text{F} = 5 \times 10^{-6} \, \text{F} \)
- Voltage source, \( V(t) = 70.7 \sin(1000t) \)
- Angular frequency, \( \omega = 1000 \, \text{rad/s} \)

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