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  4. In the circuit shown in figure, the power which is dissipated as heat in the 6Ω resistor is 6W . What is the value of resistance R in the circuit? <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-fmmhzu4vyohcseqq.jpg />

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Q. 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?
Question

NTA AbhyasNTA Abhyas 2020

Solution:

$\left(\frac{8 R}{R + 8} + 6\right)\left(\right.i\left.\right)=12$
$\left(i^{2}\right)\left(\right.6\left.\right)=6$
$i=1amp$
$8R+6R+48=12R+96$
$2R=48$
$R=24$