(D) Given: Inductance $L = \frac{0.3}{\pi} \ H$,Resistance $R = 40 \ \Omega$,Voltage $V = 230 \ V$,Frequency $f = 50 \ Hz$.First,calculate the inducti

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(D) Given: Inductance $L = \frac{0.3}{\pi} \ H$,Resistance $R = 40 \ \Omega$,Voltage $V = 230 \ V$,Frequency $f = 50 \ Hz$.First,calculate the inductive reactance $X_L = 2\pi f L$.$X_L = 2 \times \pi \times 50 \times \frac{0.3}{\pi} = 100 \times 0.3 = 30 \ \Omega$.The impedance $Z$ of the $LR$ circuit is given by $Z = \sqrt{R^2 + X_L^2}$.$Z = \sqrt{40^2 + 30^2} = \sqrt{1600 + 900} = \sqrt{2500} = 50 \ \Omega$.The current $I$ in the circuit is given by $I = \frac{V}{Z}$.$I = \frac{230}{50} = 4.6 \ A$.Thus,the impedance is $50 \ \Omega$ and the current is $4.6 \ A$.

Class 12 Physics Alternating Current RL, RC and LC AC Circuits

Easy

In an $LR$ circuit,the value of $L$ is $(\frac{0.3}{\pi}) \ H$ and the value of $R$ is $40 \ \Omega$. If an alternating e.m.f. of $230 \ V$ at $50 \ Hz$ is connected to the circuit,what are the impedance and the current in the circuit,respectively?

MHT CET 2025 All MHT CET

A
$12.5 \ \Omega, 9.2 \ A$
B
$46.4 \ \Omega, 6.4 \ A$
C
$23.2 \ \Omega, 5 \ A$
D
$50 \ \Omega, 4.6 \ A$

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In an $LR$ circuit,the value of $L$ is $(\frac{0.3}{\pi}) \ H$ and the value of $R$ is $40 \ \Omega$. If an alternating e.m.f. of $230 \ V$ at $50 \ Hz$ is connected to the circuit,what are the impedance and the current in the circuit,respectively?

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For a series $LCR$ circuit with $R=100\,\Omega$,$L=0.5\,mH$ and $C=0.1\,pF$ connected across $220\,V-50\,Hz$ $AC$ supply,the phase angle between current and supplied voltage and the nature of the circuit is:

$A$ series $L, R$ circuit connected with an ac source $E = (25 \sin 1000 t) \ V$ has a power factor of $\frac{1}{\sqrt{2}}$. If the source of emf is changed to $E = (20 \sin 2000 t) \ V$,the new power factor of the circuit will be:

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