# A charge of 15 C passes through a circuit every 12 s. If the circuit can generate 6 W of power, what is the circuit's resistance?

May 5, 2016

I found: $3.84 \Omega$

#### Explanation:

The current will be:
$I = \frac{q}{t} = \frac{15}{12} = 1.25 A$

The power is:

$P = V I = {I}^{2} R$ (using Ohm's Law $V = R I$)

so:

$R = \frac{P}{I} ^ 2 = \frac{6}{1.25} ^ 2 = 3.84 \Omega$