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An ac source of voltage V = V 0sin omega...

An ac source of voltage `V = V_ 0sin omegat` is connected to a series combination of L, C and R. Use the phasor diagram to obtain expressions for impedance of the circuit and phase with the voltage. What is circuit in this condition called?

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(i) An a.c. source of voltage V=V_(m) sin omega t is connected to a series combination of L, C and R. Use the phasor diagram to obtain expressions for impedance of the circuit and phase angle between voltage and current. Find the condition when current will be in phase with the voltage. What is the circuit in this condition called ? (ii) In a series LR circuit X_(L) =R and power factor of the circuit is P_(1) . When capacitor with capacitance C such that X_(L) = X_( C) is put in series, the power factor becomes P_(2) . Calculate P_(1)//P_(2)

(i) An a.c. Source of voltage V = V_(0) " sin " omegat is connected to a series combination of L,C and R . Use the phasor diagram to obtain expression for impedance of the circuit and phase angle between voltage and current . Find the condition when current will be phase with the voltage . What is the circuit in this condition called ? (ii) In a series LR circuit X_(L) = R and power factor of the circuit is P_(1) . When capacitor which capacitance C such that X_(L) =X_(C) is put in series , the power factor becomes P_(2) .Calculate P_(1)//P_(2)

Knowledge Check

  • An ac source of voltage V=V_(m)sin omega t is connected across the resistance R as shown in figure. The phase relation between current and voltage for this circuit is

    A
    both are in phase
    B
    both are out of phase by `90^(@)`
    C
    both are out of phase by `120^(@)`
    D
    both are out of phase by `180^(@)`
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    A source of a.c. voltage V = V_(m) sin omega t is connected to a series combination of a capacitor C and a resistor R. Draw the phasor diagram and use it to obtain the expression for (i) impedance of the circuit, and (ii) phase angle.

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