A charge of $24 C$ passes through a circuit every $2 s$ . If the circuit can generate $8 W$ of power, what is the circuit's resistance?

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Answer 1 · 2016-02-02T09:44:58

$R= 1/18 Omega$

First of all calculate the current, then use the power equation to calculate the resistance.

Current $I = 24/2 = 12 C/s$ or $12 Amp$

$P=I^2R$ where $P$ is the power, $I$ is the current and $R$ is the resistance.

$8 = 12^2R$
$R=8/144 = 1/18 Omega$

A charge of 24 C24 C passes through a circuit every 2 s2 s. If the circuit can generate 8 W8 W of power, what is the circuit's resistance?