Question Detail

MTH 102 PHY 102 Past Questions Objective Question

Question

Which of the following copper conductor that has the least resistance is:
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 electrical 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 of the conductor, and A is its cross-sectional area.To achieve the least resistance:1. Resistivity (ρ): For metals, resistivity generally increases with temperature. So, a 'cool' conductor will have lower resistivity than a 'hot' one.2. Length (L): Resistance is directly proportional to length, so a 'short' conductor will have less resistance.3. Cross-sectional Area (A): Resistance is inversely proportional to the cross-sectional area, so a 'thick' conductor (larger area) will have less resistance.Combining these factors, a conductor that is 'thick, short and cool' will have the least resistance.

Hint

Consider the relationship R = ρL/A and how temperature affects resistivity in metals.

Question Info