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Q.

Three sources of emf, $V_{0} sinωt,$ $V_{0} cosωt,$ and $V_{0}$ are connected in series as shown. RMS Value of current in the circuit is

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a

$\frac{V_{0}}{R_{0} \sqrt{2}}$

b

$\frac{V_{0}}{R}$

c

$\frac{V_{0} \sqrt{2}}{R}$

d

$\frac{2 V_{0}}{R}$

answer is C.

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Detailed Solution

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$v = 2 v_{0} V_{rms} = \frac{2 V_{0}}{\sqrt{2}} = \sqrt{2} V_{0} i_{rms} = \frac{V_{rms}}{R} = \frac{\sqrt{2} V_{0}}{R}$

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