# A charge of 16 C passes through a circuit every 12 s. If the circuit can generate 1 W of power, what is the circuit's resistance?

Dec 17, 2016

= 1.78Ω (3s.f.)

#### Explanation:

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

$I = \frac{16 C}{12 s} = \frac{4}{3} A$

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

$= \frac{1 W}{{\left(\frac{4}{3}\right)}^{2} A}$

$= \frac{1 W}{\left(\frac{9}{16}\right) A}$

1/(9/16)Ω = 16/9Ω

= 1.78Ω (3s.f.)