Question

If power dissipated in the $9\Omega$ resistor in the circuit shown is 36 Watt, the potential difference across the $2\Omega$ resistor is :

• A. 2 volt
• B. 4 volt
• C. 8 volt
• D. 10 volt

Answer 1

The correct option is D 10 volt

$P=VI=I^{2}R$
$36=I^2\times 9$
$I=2Amp$
$I_1=\frac{6\times I_T}{15}$
$I_2=\frac{9\times I_T}{15}$
$\frac{I_1}{I_2}=\left(\frac{6}{9}\right)$
$\frac{2\times 9}{6}=I_2=3Amp$
$I_{net}=\left(2+3\right)=5$
$V_{2\Omega }=I\times R=5\times 2=10Volt$