# A charge of 24 C passes through a circuit every 4 s. If the circuit can generate 45 W of power, what is the circuit's resistance?

$1.25 \Omega$
The power $P = {I}^{2} R$ where $I$ is the current and $R$ is the resistance. Therefore the resistance $R = \frac{P}{I} ^ 2$
$I = \frac{24}{4} = 6 A m p s$
$R = \frac{45}{6} ^ 2 = \frac{45}{36} = \frac{5}{4} = 1.25 \Omega$