Current Electricity

JEE Main level, single correct, medium

260 of 380

Question 260 of 380

The figure shows three circuits I,III,II and IIIIII which are connected to a 3V3V battery. If the powers dissipated by the configurations I,III,II and IIIIII are P1,P2{P}_{1},{P}_{2} and P3{P}_{3} respectively, then -

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Answer: (A) P2>P1>P3{P}_{2}\gt {P}_{1}\gt {P}_{3}

P=V2RP=\dfrac{{V}^{2}}{R}
P∝1RP\propto \dfrac{1}{R}
Req{R}_{eq} for (I)\left(I\right) circuit by balanced Wheatstone bridge
R1=1Ω{R}_{1}=1\Omega
Req{R}_{eq}for circuit (II)\left(II\right) by parallel combination
1R2=12+12+11\dfrac{1}{{R}_{2}}=\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{1}
R2=12{R}_{2}=\dfrac{1}{2}
Req{R}_{eq}for circuit (III)\left(III\right) by parallel and series combination
R3=1+112+12{R}_{3}=1+\dfrac{1}{\dfrac{1}{2}+\dfrac{1}{2}}
R3=2{R}_{3}=2

so,
P2>P1>P3{P}_{2}\gt {P}_{1}\gt {P}_{3}.<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

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