# A charge of 36 C passes through a circuit every 4 s. If the circuit can generate 45 W of power, what is the circuit's resistance?

Mar 21, 2016

$R = 2.25 O h m$

#### Explanation:

Here:

$Q = 36 C$
$t = 4 s$
$P = 45 W$
R=?

First, we will take out the current's value:

$I = \frac{Q}{t}$

$I = \frac{36}{4}$

$I = 4 A$

We know,

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

$R = \frac{36}{4} ^ 2$

$R = \frac{36}{16}$

$R = 2.25 O h m$