Question Detail

MTH 102 PHY 102 Past Questions Objective Question

Question

Which of the following copper conductor would have the least resistance?
Options
A thin, long and hot
B thick, short and cool
Correct Answer
C thick, long and hot
D thin, short and cool
Correct Answer

Option B is the correct answer.

Detailed Explanation

The resistance (R) of a conductor is given by the formula R = ρL/A, where ρ is the resistivity of the material, L is the length, and A is the cross-sectional area. Resistivity (ρ) generally increases with temperature. To minimize resistance, you need a material with low resistivity (which copper provides), shortest length (L), largest cross-sectional area (thickest wire), and lowest temperature (coolest). Therefore, a thick, short, and cool conductor will have the least resistance.

Hint

Recall how length, cross-sectional area, and temperature affect electrical resistance.

Question Info