# A charge of 24 C passes through a circuit every 12 s. If the circuit can generate 36 W of power, what is the circuit's resistance?

Mar 5, 2017

$9 \Omega$

#### Explanation:

Current is given by

$I = \frac{Q}{t} = \frac{24 C}{12 s} = 2 A$

and power by

$P = I V = {I}^{2} R$,

so

$R = \frac{P}{I} ^ 2 = \frac{36}{2} ^ 2 = 9 \Omega$