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?
resistance= voltage/current
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 have the potential differences (PD) and the currents (C). We can choose any two data points to calculate the resistance.
Let's choose the first two data points: PD = 2 and C = 2.
Using Ohm's Law: R = V / I.
Substituting the values: R = 2 / 2 = 1.
Therefore, the resistance of the conductor is 1.
To find the resistance of the conductor, we can use Ohm's Law, which states that the resistance (R) is equal to the potential difference (V) divided by the current (I): R = V/I.
In this case, we can observe from the given graph that the potential difference (PD) across the conductor is directly proportional to the current (C). This indicates that the conductor obeys Ohm's Law, meaning its resistance is constant.
From the given data points, we can see that for every 2-unit increase in potential difference, there is a corresponding 2-unit increase in current. Therefore, the values of potential difference and current are equal in this scenario.
Since resistance is given by R = V/I, and V = I in this case, we can substitute V and I with the same value. This yields: R = V/V = 1.
Therefore, the resistance of the conductor is 1.