| If power dissipated in the \[9\,\,\Omega \] resistor in the circuit shown is 36 W, the potential difference across the \[2\,\Omega \] resistor is [AIPMT (S) 2011] |
 |
A) 8 V
B) 10 V
C) 2 V
D) 4 V
Correct Answer: B
Solution :
| [b] Electric power, \[p={{i}^{2}}R\] |
| \[\therefore \] Current, \[i=\sqrt{\frac{p}{R}}\] for resistance of \[9\,\Omega \] |
| \[{{i}_{1}}=\sqrt{\frac{36}{9}}=\sqrt{4}=2A\] |
| \[{{i}_{2}}=\frac{{{i}_{1}}\times R}{6}=\frac{2\times 9}{6}=3A\] |
| \[i={{i}_{1}}+{{i}_{2}}=2+3=5A\] |
| \[{{V}_{2}}=I{{R}_{2}}=5\times 2=10V\] |
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