# A charge of 15 C passes through a circuit every 12 s. If the circuit can generate 14 W of power, what is the circuit's resistance?

Mar 20, 2016

$R = 8 , 96 \text{ Ohm}$

#### Explanation:

$\text{first ; we must find the electric current:}$
$\text{I=Electric current}$
$\Delta Q \text{:charge}$
$\Delta \text{t:time}$
$I = \frac{\Delta Q}{\Delta t}$
$I = \frac{15}{12} = \frac{5}{4} \text{ A}$
$P : P o w e r$
$\text{R:Resistance of circuit}$
$\text{The Electric power is given as formula:}$
$P = {I}^{2} \cdot R$
$14 = {\left(\frac{5}{4}\right)}^{2} \cdot R$
$14 = \frac{25}{16} \cdot R$
$R = \frac{14 \cdot 16}{25}$
$R = 8 , 96 \text{ Ohm}$