# If a current of 8 A passing through a circuit generates 32 W of power, what is the resistance of the circuit?

##### 1 Answer
Jul 19, 2016

I found: $0.5 \Omega$

#### Explanation:

In general Power will be:
$P = V \cdot I$
where $V$ is voltage and $I$ current.

Using Ohm's Law, $V = R \cdot I$, you can manipulate the above expression to introduce Resistance $R$ as:

$P = V \cdot I = \textcolor{red}{R \cdot I} \cdot I = R \cdot {I}^{2}$
in your case:
$32 = {8}^{2} \cdot R$
rearranging:
$R = 0.5 \Omega$