The graph below represents the relatonship between the potential difference across a metal conductor and the current through the conductor at constant temperature.
Potential Difference vs. Current
PD vs. C
PD C
2 2
4 4
6 6
8 8
What is the resistance of the conductor?
To find the resistance of the conductor, we need to use Ohm's Law, which states that the potential difference (V) across a conductor is equal to the product of the current (I) flowing through the conductor and the resistance (R) of the conductor.
Ohm's Law equation: V = I * R
In the given graph, we can see that the potential difference (PD) and the current (C) are equal for each data point. Therefore, we can rewrite Ohm's Law equation as follows:
PD = C * R
Now, let's choose any data point to solve for the resistance. Let's choose the first data point of (PD = 2, C = 2).
Using Ohm's Law equation:
2 = 2 * R
Divide both sides of the equation by 2 to solve for R:
2/2 = (2 * R) / 2
1 = R
Therefore, the resistance of the conductor is 1 unit.
To find the resistance of the conductor, we need to use Ohm's law, which states that the resistance (R) is equal to the potential difference (V) divided by the current (I).
In this case, we can see from the given graph that the potential difference (PD) is equal to the current (C). Therefore, the resistance can be calculated as follows:
Potential difference (PD) = Current (C)
Resistance (R) = PD / C
Using the values given in the graph, we can substitute the corresponding values of PD and C into the formula to find the resistance:
Resistance (R) = 2 / 2 = 1
Resistance (R) = 4 / 4 = 1
Resistance (R) = 6 / 6 = 1
Resistance (R) = 8 / 8 = 1
From these calculations, we can conclude that the resistance of the conductor is 1.