# If a current of 4 A passing through a circuit generates 16 W of power, what is the resistance of the circuit?

Sep 8, 2016

$V = I R$ and $P = I V$, so $P = {I}^{2} R$

#### Explanation:

$V = I R$ and $P = I V$, so by substitution, $P = {I}^{2} R$

In your example, $P = 16 W$ and $I = 4 A$

$16 = {4}^{2} R$

$R = \frac{16}{4} ^ 2$

$R = 1 \Omega$