The longer the conductor, the less the resistance it will have.

The longer the conductor, the less the resistance it will have.

• A. True
• B. Depends on material
• C. Only for superconductors
• D. False

Answer: (D)

Resistance grows with the length of a conductor. If you hold the material (ρ) and the cross-sectional area (A) constant and just lengthen the wire, the resistance increases in proportion to L, since R = ρL/A. Doubling the length roughly doubles the resistance. The only notable exception is superconductors, which have essentially zero resistance regardless of length when cooled below their critical temperature. So for ordinary conductors, the longer the conductor, the higher the resistance. This makes the statement false.

Resistance grows with the length of a conductor. If you hold the material (ρ) and the cross-sectional area (A) constant and just lengthen the wire, the resistance increases in proportion to L, since R = ρL/A. Doubling the length roughly doubles the resistance. The only notable exception is superconductors, which have essentially zero resistance regardless of length when cooled below their critical temperature. So for ordinary conductors, the longer the conductor, the higher the resistance. This makes the statement false.