# If a current of 2 A passing through a circuit generates 15 W of power, what is the resistance of the circuit?

Jan 30, 2016

Assuming that the resistors are connected in series, the effective resistance is $3.75 \Omega$.

#### Explanation:

$P = V I$

Since by Ohm's Law, $V = I R$,
$P = {I}^{2} R$.

$15 W = \left(2 \text{A")^2R_{"eff}\right\}$

${R}_{\text{eff}} = \frac{15}{4} \Omega$