Which of the following does not affect the resistance of a conductor.a.Areab.Conductivityc.Lengthd.Temperature
Question
Which of the following does not affect the resistance of a conductor.
a. Area
b. Conductivity
c. Length
d. Temperature
Solution
The correct answer is b. Conductivity.
Here's why:
The resistance (R) of a conductor is given by the formula:
R = ρL/A
where: ρ is the resistivity of the material (which is the inverse of conductivity), L is the length of the conductor, A is the cross-sectional area of the conductor.
So, the resistance of a conductor is directly proportional to its length (L) and inversely proportional to its cross-sectional area (A). It also depends on the resistivity (ρ) of the material, which is related to the temperature of the conductor.
However, the conductivity of the material, which is the inverse of resistivity, does not directly affect the resistance. Instead, a material with higher conductivity will have lower resistivity, and thus lower resistance. But the conductivity itself is not a factor in the formula for resistance. Therefore, the statement that conductivity does not affect the resistance of a conductor is technically correct, although it might be misleading because conductivity and resistivity are inversely related.
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