(B) In an $ac$ series $LR$ circuit,the impedance $(Z)$ is given by $Z = \sqrt{R^2 + X_L^2}$.Here,$X_L = \omega L$ is the inductive reactance.So,$Z = \

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(B) In an $ac$ series $LR$ circuit,the impedance $(Z)$ is given by $Z = \sqrt{R^2 + X_L^2}$.Here,$X_L = \omega L$ is the inductive reactance.So,$Z = \sqrt{R^2 + (\omega L)^2} = \sqrt{R^2 + \omega^2 L^2}$.The power factor $(\cos \phi)$ is defined as the ratio of resistance to impedance:$\cos \phi = \frac{R}{Z} = \frac{R}{\sqrt{R^2 + \omega^2 L^2}}$.

Class 12 Physics Alternating Current Power in AC and Power Factor

Medium

The power factor of an $ac$ circuit having resistance $(R)$ and inductance $(L)$ connected in series and an angular velocity $\omega$ is:

AIEEE 2002 All AIEEE

A
$R/\omega L$
B
$R/\sqrt{R^2 + \omega^2 L^2}$
C
$\omega L/R$
D
$R/\sqrt{R^2 - \omega^2 L^2}$

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Alternating Current

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Power in AC and Power Factor

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AIEEE 2002 Paper All AIEEE years →

The power dissipated in a resistor of resistance $R$ when an alternating current with a peak value of $I_p$ flows through it is:

Easy

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$A$ choke coil is connected to an $AC$ source of frequency $\frac{50}{\pi} \, Hz$. If the resistance of the coil is $1 \, \Omega$ and the inductance is $10 \, mH$,what would be the value of the power factor?

Medium

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The potential differences across the resistance,capacitance,and inductance are $80 \, V$,$40 \, V$,and $100 \, V$ respectively in an $L-C-R$ circuit. The power factor of this circuit is:

MediumNEET 2016

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In an $AC$ circuit $E = 50 \sin(500t)$ $V$, $I = 600 \sin(500t + \frac{\pi}{3})$ mA. What is the power dissipated in the circuit (in $\text{ W}$)? [$\cos 60^{\circ} = 0.5$]

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What is power factor and voltage-current relationship in an $AC$ circuit?

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The power factor of an $ac$ circuit having resistance $(R)$ and inductance $(L)$ connected in series and an angular velocity $\omega$ is:

Similar Questions

The power dissipated in a resistor of resistance $R$ when an alternating current with a peak value of $I_p$ flows through it is:

$A$ choke coil is connected to an $AC$ source of frequency $\frac{50}{\pi} \, Hz$. If the resistance of the coil is $1 \, \Omega$ and the inductance is $10 \, mH$,what would be the value of the power factor?

The potential differences across the resistance,capacitance,and inductance are $80 \, V$,$40 \, V$,and $100 \, V$ respectively in an $L-C-R$ circuit. The power factor of this circuit is:

In an $AC$ circuit $E = 50 \sin(500t)$ $V$, $I = 600 \sin(500t + \frac{\pi}{3})$ mA. What is the power dissipated in the circuit (in $\text{ W}$)? [$\cos 60^{\circ} = 0.5$]

What is power factor and voltage-current relationship in an $AC$ circuit?

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