A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which `R = 3 ohm`, `L = 25.48 mH` and `C = 796 mu F`. Find (a) the impedance of the circuit (b) phase difference between the voltage across the source and current (c) the power dissipated in the circuit and (d) the power factor.

Explanation

To solve the problem step by step, we will calculate the impedance, phase difference, power dissipated, and power factor of the given LCR circuit.

### Given Data:
- Peak Voltage, \( V_0 = 283 \, V \)
- Frequency, \( f = 50 \, Hz \)
- Resistance, \( R = 3 \, \Omega \)
- Inductance, \( L = 25.48 \, mH = 25.48 \times 10^{-3} \, H \)
- Capacitance, \( C = 796 \, \mu F = 796 \times 10^{-6} \, F \)
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