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Electrical Oscillations

The potential...

Question

The potential difference between the ends of a resistance R is $V_{R}$ , between the ends of capacitor is $V_{C}$ $=$ 2 $V_{R}$ and between the ends of inductance is $V_{L}$ $=$ 3 $V_{R}$ then the alternating potential of the source in terms of $V_{R}$ will be:

\sqrt{2} V_{R}

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V_{R}

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\frac{V_{R}}{\sqrt{2}}

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5 V_{R}

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Solution

The correct option is A $\sqrt{2} V_{R}$
$V_{S} = \sqrt{V_{R}^{2} + (V_{L} - V_{C})^{2}}$
$= \sqrt{V_{R}^{2} + (3 V_{R} - 2 V_{R})^{2}}$
$= \sqrt{V_{R}^{2} + V_{R}^{2}}$
$= V_{R} \sqrt{2}$ .

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