# A charge of 24 C passes through a circuit every 4 s. If the circuit can generate 48  W of power, what is the circuit's resistance?

Apr 28, 2016

The resistance of the circuit is $1.33$ $\Omega$.

#### Explanation:

The current in a circuit is the rate of flow of charge:

$I = \frac{\Delta Q}{t} = \frac{24 C}{4 s} = 6$ $A$

The power of an electric circuit is given by $P = {I}^{2} R$.

Rearranging:

$R = \frac{P}{I} ^ 2 = \frac{48 W}{{6}^{2} {A}^{2}} \approx 1.3$ $\Omega$