Question

In the circuit shown in figure, the power which is dissipated as heat in the $6\Omega$ resistor is 6W. What is the value of resistance R in the circuit?

• A. $6\Omega$
• B. $10\Omega$
• C. $13\Omega$
• D. $24\Omega$

Answer 1

The correct option is D $24\Omega$

$6=i^2\times 6\Rightarrow i=1[i\to$ current from cell]
$12=i{R}_{eq}$
$6+\frac{8R}{8+R}=12$
$8R=6(8+R)$
$2R=48\Rightarrow 24\Omega$