(C) Given: Resistance $R = 5\,\Omega$,Inductance $L = 0.1\,H$,and angular frequency $\omega = 50\,rad/s$.In an $LR$ series circuit,the phase differenc

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(C) Given: Resistance $R = 5\,\Omega$,Inductance $L = 0.1\,H$,and angular frequency $\omega = 50\,rad/s$.In an $LR$ series circuit,the phase difference $\phi$ between the current and the $EMF$ is given by $\tan \phi = \frac{X_L}{R}$.First,calculate the inductive reactance $X_L = \omega L = 50 \times 0.1 = 5\,\Omega$.Now,substitute the values into the formula: $\tan \phi = \frac{5}{5} = 1$.Therefore,$\phi = \tan^{-1}(1) = \frac{\pi}{4}$.

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

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There is a $5\,\Omega$ resistance in an $AC$ circuit. An inductance of $0.1\,H$ is connected in series with it. If the equation of the $AC$ $EMF$ is $E = 5\sin(50t)$,then the phase difference between the current and the $EMF$ is:

A
$\frac{\pi}{2}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{4}$
D
$0$

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$A$ $100 \;\mu\,F$ capacitor in series with a $40\; \Omega$ resistance is connected to a $110\; V, 60\; Hz$ supply.
$(a)$ What is the maximum current in the circuit?
$(b)$ What is the time lag between the current maximum and the voltage maximum?

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There is a $5\,\Omega$ resistance in an $AC$ circuit. An inductance of $0.1\,H$ is connected in series with it. If the equation of the $AC$ $EMF$ is $E = 5\sin(50t)$,then the phase difference between the current and the $EMF$ is:

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An inductance coil has a reactance of $100\, \Omega$. When an $AC$ signal of frequency $1000\, Hz$ is applied to the coil,the applied voltage leads the current by $45^{\circ}$. The self-inductance of the coil is

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An $AC$ circuit has an inductor and a resistor of resistance $R$ in series,such that $X_L = 3R$. Now,a capacitor is added in series such that $X_C = 2R$. The ratio of the new power factor to the old power factor of the circuit is $\sqrt{5} : x$. The value of $x$ is ...... .

$A$ coil has resistance $30\,\Omega$ and inductive reactance $20\,\Omega$ at $50\,Hz$ frequency. If an $AC$ source of $200\,V, 100\,Hz$ is connected across the coil,the current in the coil will be ......$A$

$A$ $100 \;\mu\,F$ capacitor in series with a $40\; \Omega$ resistance is connected to a $110\; V, 60\; Hz$ supply.$(a)$ What is the maximum current in the circuit?$(b)$ What is the time lag between the current maximum and the voltage maximum?

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$A$ $100 \;\mu\,F$ capacitor in series with a $40\; \Omega$ resistance is connected to a $110\; V, 60\; Hz$ supply.
$(a)$ What is the maximum current in the circuit?
$(b)$ What is the time lag between the current maximum and the voltage maximum?