A charge of $18 C$ passes through a circuit every $24 s$ . If the circuit can generate $8 W$ of power, what is the circuit's resistance?

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Answer 1 · 2016-05-29T10:09:36

$R=14.22" " Omega$

$Delta Q=18C" charge passing through circuit"$
$Delta t=24 s" time"$
$P=8W" power generated by circuit"$
$R=?$

$"current is described as "I=(Delta Q)/(Delta t)$

$I=18/24=3/4A$

$"remember that " P=I^2*R$

$8=(3/4)^2*R$

$8=9/16*R$

$R=(8*16)/9$

$R=14.22" " Omega$

A charge of 18 C18 C passes through a circuit every 24 s24 s. If the circuit can generate 8 W8 W of power, what is the circuit's resistance?