(A) In an $LR$ series circuit,the phase angle $\phi$ between the voltage and current is given by the formula: $\tan \phi = \frac{X_L}{R}$.Here,$R = 30

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(A) In an $LR$ series circuit,the phase angle $\phi$ between the voltage and current is given by the formula: $\tan \phi = \frac{X_L}{R}$.Here,$R = 300 \ \Omega$,$L = \frac{1}{\pi} \ H$,and frequency $f = 200 \ Hz$.The inductive reactance $X_L$ is calculated as: $X_L = 2\pi f L = 2\pi \times 200 \times \frac{1}{\pi} = 400 \ \Omega$.Substituting the values into the phase angle formula:$\tan \phi = \frac{400}{300} = \frac{4}{3}$.Therefore,the phase angle is $\phi = \tan^{-1} \left( \frac{4}{3} \right)$.

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

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$A$ resistance of $300 \ \Omega$ and an inductance of $\frac{1}{\pi} \ H$ are connected in series to an $AC$ voltage of $20 \ V$ and $200 \ Hz$ frequency. The phase angle between the voltage and current is

A
$\tan^{-1} \frac{4}{3}$
B
$\tan^{-1} \frac{3}{4}$
C
$\tan^{-1} \frac{3}{2}$
D
$\tan^{-1} \frac{2}{5}$

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$A$ resistance of $300 \ \Omega$ and an inductance of $\frac{1}{\pi} \ H$ are connected in series to an $AC$ voltage of $20 \ V$ and $200 \ Hz$ frequency. The phase angle between the voltage and current is

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