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Current Electricity

Question
CBSEENPH12039918

If power dissipated in the 9Ω resistor in the circuit shown is 36 W, the potential difference across the 2Ω resistor is

  • 8 V

  • 10 V 

  • 2 V

  • 4 V 

Solution

B.

10 V 

Electric power, P = i2R

therefore space Current comma space straight i space equals space square root of straight P over straight R end root
For space resistance space of space 9 straight capital omega space
space straight i subscript 1 space end subscript equals square root of 36 over 9 end root space equals space square root of 4 space equals space 2 straight A

straight i subscript 2 space equals space fraction numerator straight i space straight x space space straight R over denominator 6 end fraction space equals space fraction numerator 2 space straight x space 9 space over denominator 6 end fraction space equals space 3 straight A

straight i space equals space straight i subscript 1 space plus space straight i subscript 2 space equals space 2 space plus space 3 space equals space 5 space straight A space

straight V subscript 2 space equals space IR subscript 2 space equals space 5 space straight x space 2 space equals space 10 space straight V