No, the value of resistance of a conductor does not depend upon the potential difference applied across it or the current passed through it. Here’s a detailed explanation:
Explanation:
1. Definition of Resistance: Resistance (R) of a conductor is a property of the material and its dimensions. It is given by:
R=ρ⋅LAR = \frac{\rho \cdot L}{A}
where:
o ρ\rho is the resistivity of the material,
o LL is the length of the conductor,
o AA is the cross-sectional area of the conductor.
These factors are intrinsic to the conductor and do not depend on the current or potential difference.
2. Ohm's Law: According to Ohm's Law:
V=I⋅RV = I \cdot R
where:
o VV is the potential difference,
o II is the current,
o RR is the resistance.
Resistance remains constant for a given conductor at a constant temperature. The current II and potential difference VV adjust according to this relationship but do not alter RR.
3. Temperature Dependency: The only factor that might affect resistance is temperature. For most conductors, resistance increases with temperature. However, this change is not directly related to the applied potential difference or the current.
The resistance of a conductor is independent of the potential difference applied across it or the current passed through it. It is determined by the material properties, dimensions, and, in some cases, the temperature of the conductor.