# If a current of 6 A passing through a circuit generates 3 W of power, what is the resistance of the circuit?

May 30, 2016

$P = 3 W$

$I = 6 A$

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

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

$\frac{3}{36} = R$

$0.084 \Omega = R$

Resistance is $0.084 \Omega$