A charge of $24 C$ $24 C$ passes through a circuit every $4 s$ $4 s$ . If the circuit can generate $45 W$ $45 W$ of power, what is the circuit's resistance?

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Answer 1 · 2016-02-05T11:47:58

$1.25 Omega$

The power $P = I^2R$ where $I$ is the current and $R$ is the resistance. Therefore the resistance $R=P/I^2$

$I= 24/4 = 6Amps$

$R= 45/6^2 = 45/36 = 5/4 = 1.25 Omega$

A charge of 24 C24C24 C passes through a circuit every 4 s4s4 s. If the circuit can generate 45 W45W45 W of power, what is the circuit's resistance?