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A capacitor (C) and resistor (R) are con...

A capacitor (C) and resistor (R) are connected in series with an a.c. source of voltage of frequency 50 Hz. The potential difference across C and R are respectively 120 V, 90 V, and the current in the circuit is 3 A. Calculate (i) the impedance of the circuit (ii) the value of the inductance, which when connected in series with C and R will make the power factor of the circuit unity.

Text Solution

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The correct Answer is:
(i) `15 Omega`, (ii) 0.13 H
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Knowledge Check

  • A resistor R and the capacitor C are connected in series across an ac source of rms voltage 5V if the rms voltage across C is 3V then that across R is .

    A
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    B
    `2V`
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    D
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  • When a capacitance is connected in series with a series L-R, a.c. circuit, the total impedance of the circuit

    A
    is increased
    B
    is decreased
    C
    does not change
    D
    is doubled

  • The impedance of a circuit, when a resistance R and an inductor of inductance are connected in series in an AC circuit of frequency f is

    A
    `sqrt(R+2pi^(2)f^(2)L^(2))`
    B
    `sqrt(R+4pi^(2)f^(2)L^(2))`
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