(C) The average power $P$ in an $AC$ circuit is given by the formula:$P = V_{rms} I_{rms} \cos \phi$Since $V_{rms} = I_{rms} Z$ and the power factor $

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(C) The average power $P$ in an $AC$ circuit is given by the formula:$P = V_{rms} I_{rms} \cos \phi$Since $V_{rms} = I_{rms} Z$ and the power factor $\cos \phi = \frac{R}{Z}$,where $Z$ is the impedance of the circuit and $R$ is the resistance.Substituting these into the power formula:$P = (I_{rms} Z) \times I_{rms} \times \left( \frac{R}{Z} \right)$$P = I_{rms}^2 R$Given that $I_{rms} = 2 A$ and $R = 5 \Omega$:$P = (2)^2 \times 5$$P = 4 \times 5 = 20 \, W$Therefore,the average power in the circuit is $20 \, W$.

Class 12 Physics Alternating Current Power in AC and Power Factor

Medium

$A$ capacitor $C = 2 \mu F$ and an inductor with $L = 10 H$ and coil resistance $R = 5 \Omega$ are connected in series in a circuit. When an alternating current of $r.m.s.$ value $I_{rms} = 2 A$ flows in the circuit,the average power in watts in the circuit is:

A
$100$
B
$50$
C
$20$
D
$10$

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Class 12

Physics Questions

Chapter

Alternating Current

Subtopic

Power in AC and Power Factor

$A$ circuit,consisting of an inductance and a resistance in series,is connected to a $250 \ V$ $A$.$C$. supply. It draws a current of $10 \ A$. If the power consumed in the circuit is $1500 \ W$,calculate the wattless current. (in $A$)

Medium

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The $r.m.s.$ current in an $AC$ circuit is $2 \ A$. If the wattless current is $\sqrt{3} \ A$,what is the power factor?

Medium

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What will be the phase difference between virtual voltage and virtual current when current in the circuit is wattless (in $^{\circ}$)?

MediumMHT CET 2023

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For an $AC$ circuit,the potential difference and current are given by $V = 10 \sqrt{2} \sin \omega t$ (in $V$) and $I = 2 \sqrt{2} \cos \omega t$ (in $A$) respectively. The power dissipated in the instrument is ............ $W$.

Easy

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In a series $LCR$ circuit,the inductive reactance $(X_{L})$ is $10\, \Omega$ and the capacitive reactance $(X_{C})$ is $4\, \Omega$. The resistance $(R)$ in the circuit is $6\, \Omega$. The power factor of the circuit is :

MediumJEE MAIN 2021

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$A$ capacitor $C = 2 \mu F$ and an inductor with $L = 10 H$ and coil resistance $R = 5 \Omega$ are connected in series in a circuit. When an alternating current of $r.m.s.$ value $I_{rms} = 2 A$ flows in the circuit,the average power in watts in the circuit is:

Similar Questions

$A$ circuit,consisting of an inductance and a resistance in series,is connected to a $250 \ V$ $A$.$C$. supply. It draws a current of $10 \ A$. If the power consumed in the circuit is $1500 \ W$,calculate the wattless current. (in $A$)

The $r.m.s.$ current in an $AC$ circuit is $2 \ A$. If the wattless current is $\sqrt{3} \ A$,what is the power factor?

What will be the phase difference between virtual voltage and virtual current when current in the circuit is wattless (in $^{\circ}$)?

For an $AC$ circuit,the potential difference and current are given by $V = 10 \sqrt{2} \sin \omega t$ (in $V$) and $I = 2 \sqrt{2} \cos \omega t$ (in $A$) respectively. The power dissipated in the instrument is ............ $W$.

In a series $LCR$ circuit,the inductive reactance $(X_{L})$ is $10\, \Omega$ and the capacitive reactance $(X_{C})$ is $4\, \Omega$. The resistance $(R)$ in the circuit is $6\, \Omega$. The power factor of the circuit is :

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