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Question

Figure shows three resistor configurations R1,R2 and R3 connected to 3 V battery. If the power dissipated by the configuration R1,R2 and R3 is P1,P2 and P3, respectively, then
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A
P1>P2>P3
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B
P1>P3>P2
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C
P2>P1>P3
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D
P3>P2>P1
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Solution

The correct option is C P2>P1>P3
For R1: This is a equivalent wheatstone bridge circuit. The equivalent

resistance R1=R=1Ω.

For R2: The equivalent resistance R2=(11+1+1+11+1)1=21=0.5Ω

For R3: The equivalent resistance R3=1+(1+1)(1+1)(1+1)+(1+1)=1+1=2Ω

As P=V2R and V=3 for each so P1R
Thus, P2>P1>P3

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