(C) In an $LCR$ series circuit,the potential difference across the inductor $(V_L)$,resistor $(V_R)$,and capacitor $(V_C)$ are given as $V_L = 46\, V$

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(C) In an $LCR$ series circuit,the potential difference across the inductor $(V_L)$,resistor $(V_R)$,and capacitor $(V_C)$ are given as $V_L = 46\, V$,$V_R = 8\, V$,and $V_C = 40\, V$. The total $EMF$ $(V)$ of the source is given by the formula: $V = \sqrt{V_R^2 + (V_L - V_C)^2}$. Substituting the given values: $V = \sqrt{8^2 + (46 - 40)^2}$. $V = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10\, V$. Thus,the $EMF$ of the source is $10\, V$.

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

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An alternating current source of frequency $100\, Hz$ is connected to a combination of a resistor,a capacitor,and an inductor in series. The potential difference across the inductor,the resistor,and the capacitor is $46\, V$,$8\, V$,and $40\, V$ respectively. The electromotive force $(EMF)$ of the alternating current source in volts is:

A
$94$
B
$14$
C
$10$
D
$76$

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Alternating Current

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RL, RC and LC AC Circuits

$A$ coil has an inductance of $0.7 \, H$ and is joined in series with a resistance of $220 \, \Omega$. When an alternating $emf$ of $220 \, V$ at $50 \, Hz$ is applied to it,the phase angle by which the current lags behind the applied $emf$ and the wattless component of the current in the circuit are respectively:

DifficultAIIMS 2010

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In a series $R-C$ circuit shown in the figure,the applied voltage is $10\, V$ and the voltage across the capacitor is found to be $8\, V$. Then,the voltage across $R$ and the phase difference between the current and the applied voltage will respectively be

MediumAIIMS 2018

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$A$ current of $\frac{25}{\pi} \text{ Hz}$ frequency is passing through an $AC$ circuit having a series combination of $R=100 \ \Omega$ and $L=2 \text{ H}$. The phase difference between voltage and current is . . . . . . . (in $^{\circ}$)

EasyGUJCET 2015

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In an $AC$ circuit,a resistance of $R$ $\Omega$ is connected in series with an inductor of self-inductance $L$. If the phase angle between voltage and current is $45^{\circ}$,the value of inductive reactance $(X_{L})$ will be equal to . . . . . . .

EasyGUJCET 2008

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$A$ series $RLC$ circuit is connected to an $ac$ source of voltage $V_S$ and variable angular frequency $\omega$,as shown in the figure. $V_{RL}$ and $V_C$ are the potential drops across the $RL$ combination and the capacitor $C$,respectively. Select the correct statement.

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In a series $R-C$ circuit shown in the figure,the applied voltage is $10\, V$ and the voltage across the capacitor is found to be $8\, V$. Then,the voltage across $R$ and the phase difference between the current and the applied voltage will respectively be

$A$ current of $\frac{25}{\pi} \text{ Hz}$ frequency is passing through an $AC$ circuit having a series combination of $R=100 \ \Omega$ and $L=2 \text{ H}$. The phase difference between voltage and current is . . . . . . . (in $^{\circ}$)

In an $AC$ circuit,a resistance of $R$ $\Omega$ is connected in series with an inductor of self-inductance $L$. If the phase angle between voltage and current is $45^{\circ}$,the value of inductive reactance $(X_{L})$ will be equal to . . . . . . .

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