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An inductor 200 mH, capactior 500 mu F, ...

An inductor 200 mH, capactior `500 mu F`, resistor 10 ohm are connected in series with a 100 V, varialbe frequency a.c. source. Calculate (i) frequency at which power factor of the circuit is unity (ii) current amplitude at this frequency (iii) Q factor.

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To solve the problem step by step, we will break it down into three parts as per the question. ### Given: - Inductance, \( L = 200 \, \text{mH} = 200 \times 10^{-3} \, \text{H} \) - Capacitance, \( C = 500 \, \mu\text{F} = 500 \times 10^{-6} \, \text{F} \) - Resistance, \( R = 10 \, \Omega \) - Voltage, \( V = 100 \, \text{V} \) ...
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An inductor 200 mH, capacitor 500 mu F , resistor 10 ohm are connected in series with a 100 V, variable frequency a.c. source. Calculate (i) frequency at which power factor of the circuit is unity (ii) current amplitude at this frequency (iii) Q factor.

A 100 mH inductor, a 20 muF capacitor and a 10 ohm resistor are connected in series to a 100 V, 50 Hz a.c. source. Calculate : (i) Inpendance of the circuit at resonance (ii) Current at resonance (iii) Resonant frequency.

Knowledge Check

  • An inductor 200 mH, capacitor 500mu F and resistor 10 Omega are connected in series with a 100 V variable frequency ac source. What is the frequency at which the power factor of the circuit is unity?

    A
    `10.22 Hz`
    B
    `12.4 Hz`
    C
    `19.2 Hz`
    D
    `15.9 Hz`

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