A charge of $6 C$ $6 C$ passes through a circuit every $3 s$ $3 s$ . If the circuit can generate $18 W$ $18 W$ of power, what is the circuit's resistance?

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Answer 1 · 2018-07-26T20:19:05

$4.5\ \Omega$

The electric current $I$ is the rate of flow of charge w.r.t. time which given as

$I={dQ}/{dt}$

$=\frac{6}{3}$

$=2\ A$

If $R\ \Omega$ is the electric resistance then the electric power or rate of heat generation is given by Joule's Law as follows

$H=I^2R$

$18=2^2R\quad (\because \ H=18\ W)$

$R=18/4$

$R=4.5$

Hence the electric resistance is $R=4.5\ \Omega$

A charge of 6 C6C6 C passes through a circuit every 3 s3s3 s. If the circuit can generate 18 W18W18 W of power, what is the circuit's resistance?