An LCR series circuit with `L = 100 mH, C = 100 muF, R = 120 Omega` is connected to an `AC` source of `emf epsilon = (30 V) sin (100s^(-1))t`. Find the impedance, the peak current and the resonant frequency of the circuit.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Identify the given values
We have:
- Inductance, \( L = 100 \, \text{mH} = 100 \times 10^{-3} \, \text{H} = 0.1 \, \text{H} \)
- Capacitance, \( C = 100 \, \mu\text{F} = 100 \times 10^{-6} \, \text{F} = 0.0001 \, \text{F} \)
- Resistance, \( R = 120 \, \Omega \)
- EMF source, \( \epsilon(t) = 30 \sin(100t) \)
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