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Derive an expression for current I passi...

Derive an expression for current I passing through an AC circuit containing only inductor L. Draw a Phasor diagram and graph of v and I versus `omega t`. Explain instantaneous power and the average power.

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Knowledge Check

  • An alternating current of frequency f is flowing in a circuit containing only a inductor L. If V_0 and I_0 represent peak values of voltage and current respectively , the average power given by source to inductor is equal to ……

    A
    0
    B
    `0.5 V_0I_0`
    C
    `I_0^2 2pifL`
    D
    `V_0I_02pifL`

  • Ratio of power factor in two A.C. circuits (i) containing only resistance and (ii) containing only inductor is …….

    A
    1
    B
    0
    C
    `oo`
    D
    x (where x `in` N)

  • Power factor of AC series circuit having resistance R and inductor L having angular frequency omega is ……..

    A
    0
    B
    `R/sqrt(R^2+omega^2L^2)`
    C
    `(omegaL)/R`
    D
    `R/(omegaL)`

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    A current of 25/pi Hz frequency is passing through an A.C. circuit having series combination of R = 100 Omega and L =2 H, the phase difference between voltage and current is …

    A circuit connected with a source of 230 V, draws a current of 2A and power consumed from it is 100 W, then power factor of the circuit is …….

    Current of 50/ pi Hz frequency is passing | through an A.C. circuit having series combination of resistance R = 100 Omega and inductor L = sqrt3H . The phase difference between the voltage and current is …..

    Current of 50/pi Hz frequency is passing through an A.C. circuit having series combination of resistance R = 100 Omega and L = 1 H, then phase difference between voltage and current is ……….

    If we consider the phasor if I in positive X-direction for an A.C. circuit which has only inductor, then the phasor of V is in ........direction .

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