No, the calculated resistance values will not always be the same. Resistance is influenced by the potential difference across the wire, and when the power source is set to a low potential difference, the resistance is lower than when the power source is set to a high potential difference.
In this scenario, the wire is connected to a power source set to a low potential difference and the current through the wire is measured, and its resistance is calculated. When the power source is set to a high potential difference, the measurement and calculation are repeated must the two calculated resistance values always be the same?
The answer is no. The calculated resistance values will not always be the same. This is because resistance is influenced by the potential difference across the wire. When the power source is set to a low potential difference, the resistance is lower than when the power source is set to a high potential difference. This is due to the relationship between resistance and potential difference, as described by Ohm's Law: V = IR, where V is the potential difference, I is the current, and R is the resistance. So, if the potential difference changes, the resistance will also change.