# A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?

##### 2 Answers

The resistance in the circuit is

#### Explanation:

Data:

Charge

Time

Power

Resistance

We know that:

Where

Also we know that:

Rearranging:

Hence, the resistance in the circuit is

The circuit's resistance is

#### Explanation:

First, let's think about what we are trying to calculate. We know the power generated from the circuit which is given by Joule's law:

We have also been given the rate of charge flow, which is a current:

We can substitute this current into the first equation and solve for the voltage:

Now we have a current and a voltage and want to find a resistance. We know Ohm's Law relates all three of these:

Rearranging to find the resistance: