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 impedane, the peak current and the resonant frequency of the circuit.

Explanation

To solve the problem step by step, we will calculate the impedance, peak current, and resonant frequency of the LCR series circuit.

### Given Data:
- Inductance, \( L = 100 \, \text{mH} = 100 \times 10^{-3} \, \text{H} \)
- Capacitance, \( C = 100 \, \mu\text{F} = 100 \times 10^{-6} \, \text{F} \)
- Resistance, \( R = 120 \, \Omega \)
- EMF, \( \epsilon = 30 \, \text{V} \sin(100t) \)
- Angular frequency, \( \omega = 100 \, \text{s}^{-1} \)
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