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The figure shows three circuits I, II and III which are connected to a 3 V battery. If the powers dissipated by the configurations I, II and III are $P_{1}, P_{2} a n d P_{3}$ respectively, then :

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$P_{1} > P_{2} > P_{3}$

$P_{1} > P_{3} > P_{2}$

$P_{3} > P_{2} > P_{1}$

$P_{2} > P_{1} > P_{3}$

answer is B.

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Detailed Solution

equivalent resistance of the circuit 1 is 1 $Ω$ balanced Wheatstone bridge.

equivalent resistance of the circuit 2 is 0.5 $Ω$

equivalent resistance of the circuit 3 is 2 $Ω$

as power is inversely proportional to resistance of the circuit $P = \frac{V^{2}}{R}$

$P_{2} > P_{1} > P_{3}$

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