# If a current of 7 A passing through a circuit generates 42 W of power, what is the resistance of the circuit?

Jun 20, 2016

$R = \frac{6}{7} \text{ } \Omega$

#### Explanation:

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

$P : \text{Power }$
$I : \text{Current}$
$R : \text{Resistance}$

P=42 W" "I=7A" "R=?

$42 = {7}^{2} \cdot R$

$42 = 49 \cdot R$

$R = \frac{42}{49}$

$R = \frac{6}{7} \text{ } \Omega$