# A charge of 36 C passes through a circuit every 6 s. If the circuit can generate 72 W of power, what is the circuit's resistance?

Feb 8, 2017

The resistance of the circuit must be 2 ohms.

#### Explanation:

First, we determine the current that is flowing.

I=q/t= (36 C)/(6 s) = 6 A

The rate of charge movement means a 6 amp current exists.

Next, use the relation $P = {I}^{2} R$ to find the resistance

72 W = (6 A)^2 xx R

$R = \frac{72}{36} = 2 o h m s$