# If a current of 6 A passing through a circuit generates 96 W of power, what is the resistance of the circuit?

Apr 5, 2016

$R \cong 2 , 67 \text{ Ohm}$

#### Explanation:

$\text{given data:}$
$\text{current I :} 6 A$
$\text{power P :} 96 W$
"resistance :"R=?

$P = {I}^{2} \cdot R$

$96 = {6}^{2} \cdot R$

$96 = 36 \cdot R$

$R = \frac{96}{36}$
$R \cong 2 , 67 \text{ Ohm}$