# A charge of 16 C passes through a circuit every 8 s. If the circuit can generate 6 W of power, what is the circuit's resistance?

Resistance $R = 1.5 \text{ } O h m s$

#### Explanation:

From the given:
$q = 16 \text{ ""Coulomb}$
$t = 8 \text{ ""sec}$

$P = 6 \text{ ""watts}$

The current equation
$I = \frac{q}{t}$

$I = \frac{16}{8}$

$I = 2 \text{ ""Amp}$

The power equation

$P = {I}^{2} \cdot R$
$6 = {\left(2\right)}^{2} \cdot R$
$6 = 4 \cdot R$

$R = \frac{6}{4}$

$R = 1.5 \text{ }$Ohms

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