A charge of $36 C$ $36 C$ passes through a circuit every $6 s$ $6 s$ . If the circuit can generate $72 W$ $72 W$ of power, what is the circuit's resistance?

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Answer 1 · 2017-02-08T15:59:54

The resistance of the circuit must be 2 ohms.

First, we determine the current that is flowing.

#I=q/t= (36 C)/(6 s) = 6 A

The rate of charge movement means a 6 amp current exists.

Next, use the relation $P = I^{2} R$ $P=I^2R$ to find the resistance

#72 W = (6 A)^2 xx R

$R = \frac{72}{36} = 2 o h m s$ $R= 72/36 = 2 ohms$

A charge of 36C36 C passes through a circuit every 6s6 s. If the circuit can generate 72W72 W of power, what is the circuit's resistance?