# If a current of 4 A passing through a circuit generates 12 W of power, what is the resistance of the circuit?

Jan 1, 2016

0.75 ohms

#### Explanation:

The power generated by a circuit in terms of the current flowing through it and its resistance is given by:

$P = {I}^{2} R$

where,

$P$ is the power generated;
$I$ is the current through the circuit,
and $R$ is the circuit's resistance.

Substituting the values, we have:

$12 = {\left(4\right)}^{2} R$

$12 = 16 R$

$R = \frac{12}{16} = 0.75 \Omega$