# A charge of 24 C passes through a circuit every 2 s. If the circuit can generate 8 W of power, what is the circuit's resistance?

Feb 2, 2016

$R = \frac{1}{18} \Omega$

#### Explanation:

First of all calculate the current, then use the power equation to calculate the resistance.

Current $I = \frac{24}{2} = 12 \frac{C}{s}$ or $12 A m p$

$P = {I}^{2} R$ where $P$ is the power, $I$ is the current and $R$ is the resistance.

$8 = {12}^{2} R$
$R = \frac{8}{144} = \frac{1}{18} \Omega$