# A charge of 24 C passes through a circuit every 6 s. If the circuit can generate 12 W of power, what is the circuit's resistance?

Mar 5, 2017

$0.75 \Omega$

#### Explanation:

Calculate current, $I$, by

$I = \frac{Q}{t} = \frac{24 C}{6 s} = 4 A$

Electrical power is given by

$P = I V = {I}^{2} R$

so

$R = \frac{P}{I} ^ 2 = \frac{12 W}{4 A} ^ 2 = 0.75 \Omega$

Mar 5, 2017

$0.75 \Omega$

#### Explanation:

Calculate current, $I$, by

$I = \frac{Q}{t} = \frac{24 C}{6 s} = 4 A$

Electrical power is given by

$P = I V = {I}^{2} R$

so

$R = \frac{P}{I} ^ 2 = \frac{12 W}{4 A} ^ 2 = 0.75 \Omega$