A charge of $36 C$ $36 C$ passes through a circuit every $4 s$ $4 s$ . If the circuit can generate $81 W$ $81 W$ of power, what is the circuit's resistance?

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Answer 1 · 2018-03-31T22:54:58

I got: $1Omega$

Power is related to Tension $V$ and Current $I$ as:

$P=VI$

Where: $"Current"="Charge"/"Time"=q/t$

so we get:

$P=V*q/t$

with our data:

$81=V36/4$

rearranging:

$V=9V$

From Ohm's Law:

$V=RI$

$R=V/I=9/(36/4)=1Omega$

A charge of 36 C36C36 C passes through a circuit every 4 s4s4 s. If the circuit can generate 81 W81W81 W of power, what is the circuit's resistance?