# A charge of 8 C passes through a circuit every 4 s. If the circuit can generate 3 W of power, what is the circuit's resistance?

Apr 14, 2016

$R = \frac{3}{4} O h m$

#### Explanation:

$\Delta q = 8 C \text{ charge}$
$\Delta t = 4 s \text{ time}$
$P = 3 W \text{ power}$
R=?" resistance"

$I = \frac{\Delta q}{\Delta t}$

$I = \frac{8}{4} = 2 A$

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

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

$R = \frac{3}{2} ^ 2$

$R = \frac{3}{4} O h m$