# A charge of 24 C passes through a circuit every 9 s. If the circuit can generate 12 W of power, what is the circuit's resistance?

Apr 9, 2017

$1.6 \Omega$

#### Explanation:

Charge, time and current are related by Q = It

Hence, I = $\frac{Q}{t}$
I = $\frac{24}{9}$ = 2.7 A (rounded off to 2 s.f.)

Power = ${I}^{2} R$

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

R = $\frac{12}{2.7} ^ 2$ = $1.6 \Omega$ (rounded to 2 s.f.)