Current Electricity and Electrical InstrumentHard

Question

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

Options

A.4 volts
B.8 volts
C.10 volts
D.2 volts

Solution

          
Current flows through the 9Ω resistor is
      
       I1 = 2
AS the resistance 9Ω and 6Ω are connected in parallel, therefore potential difference across them is same
∴    9I1 = 6I2
      
Current drawn from the battery is
I = I1 + I2 = (2 + 3) A = 5 A
The potential difference acros the 2Ω resistor is
(5 A) (2Ω) = 10 V.

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