# A charge of 24 C passes through a circuit every 12 s. If the circuit can generate 8 W of power, what is the circuit's resistance?

Resistance $R = 2 \text{ }$Ohms

#### Explanation:

Given :

charge $q = 24 \text{ }$coulomb
time $t = 12 \text{ }$seconds
Power $P = 8 \text{ }$watts

Solution:

Let $i$ current in Ampere

$i = \frac{q}{t} = \frac{24}{12} = 2 \text{ }$Amperes

$P = {i}^{2} \cdot R$

$8 = {\left(2\right)}^{2} \cdot R$

$8 = 4 \cdot R$

$R = \frac{8}{4}$

$R = 2 \text{ }$Ohms

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