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A series LCR circuit with L = 80 mH, C =...

A series LCR circuit with `L = 80 mH, C = 50 mu F` and `R = 60 ohm` is connected to a variable frequency 220 V source. Determine (i) the source frequency which drives the circuitin resonance (iii) the quality factor Q of the circuit.

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To solve the problem step by step, we will first determine the source frequency that drives the circuit in resonance and then calculate the quality factor \( Q \) of the circuit. ### Given Data: - Inductance, \( L = 80 \, \text{mH} = 80 \times 10^{-3} \, \text{H} \) - Capacitance, \( C = 50 \, \mu\text{F} = 50 \times 10^{-6} \, \text{F} \) - Resistance, \( R = 60 \, \Omega \) - RMS Voltage, \( V_{\text{RMS}} = 220 \, \text{V} \) ...
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Knowledge Check

  • Figure shows a series LCR circuit connected to a variable frequency 230 V source. The source frequency which drives the circuit the circuit in resonance is

    A
    4 Hz
    B
    5 Hz
    C
    6 Hz
    D
    8 Hz

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