Question Detail

PHY 102 Last Minute Prep Objective Question

Question

A length of wire has a resistance of 10 ohms. What is the resistance of a wire of the same material three times as long and twice the cross-sectional area?
Options
A 30 ohms
B 20 ohms
C 15 ohms
Correct Answer
D 7.5 ohms
Correct Answer

Option C is the correct answer.

Detailed Explanation

R = ρL/A. New R = ρ(3L)/(2A) = 1.5 × (ρL/A) = 1.5 × 10 = 15Ω

Hint

Resistance is proportional to length and inversely proportional to area.

Question Info