Question Detail

PHY 102 Last Minute Prep Objective Question

Question

Two wires A and B have identical lengths and material. Wire A has four times resistance of B. How many times greater is diameter of B than A?
Options
A 2.5
B 4
C 2
Correct Answer
D 8
Correct Answer

Option C is the correct answer.

Detailed Explanation

R = ρL/A. R_A = 4R_B => A_B = 4A_A. Since A ∝ d², d_B = 2d_A.

Hint

Resistance is inversely proportional to cross-sectional area.

Question Info