(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

Easy

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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RL, RC and LC AC Circuits

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