# If a current of 1 A passing through a circuit generates 2 W of power, what is the resistance of the circuit?

Apr 8, 2016

$2$ ohms

#### Explanation:

For $R =$ resistance (in Ohms)
and $I =$ current (in Amperes)
and $P =$ power (in Watts)

$P = R \times {I}^{2} \rightarrow R = \frac{P}{{I}^{2}}$

Given
$\textcolor{w h i t e}{\text{XXX}} P = 2 W$
and
$\textcolor{w h i t e}{\text{XXX}} I = 1 A$

$R = \frac{2}{1} ^ 2$ Ohms $= 2$ Ohms