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: