A charge of $27 C$ passes through a circuit every $3 s$ . If the circuit can generate $72 W$ of power, what is the circuit's resistance?

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Answer 1 · 2016-04-08T17:12:44

$R=8/9 Ohm$

$"given data:"$
$q=27C" charge"$
$Delta t=3 s" time interval"$
$P=72W" Power"$
$R=?" Resistance"$

$so" " P=I^2*R$

$"we must calculate the electric current I"$
$I=(Delta q)/(Delta t)$

$I=27/3=9A$

$cancel(72)=cancel(9)^2*R$

$8=9*R$

$R=8/9 Ohm$

A charge of 27 C27 C passes through a circuit every 3 s3 s. If the circuit can generate 72 W72 W of power, what is the circuit's resistance?