Given the four wires described here, which would you expect to have the greatest resistance?

Question

Given the four wires described here, which would you expect to have the greatest resistance??  
A. 1 km of American wire gauge 1; diameter 7.35 mm  
B. 1 km of American wire gauge 2; diameter 6.54 mm  
C. 1 km of American wire gauge 3; diameter 5.83 mm  
D. 1 km of American wire gauge 4; diameter 5.19 mm

Accepted Answer

Correct Answer: (D)1 km of American wire gauge 4; diameter 5.19 mm. 
Rationale: Among wires of equal length and material, the one with the smallest diameter exhibits the greatest electrical resistance. Resistance is inversely proportional to cross-sectional area, and since area depends on the square of the diameter, even small reductions in diameter significantly increase resistance.A) 1 km of American wire gauge 1; diameter 7.35 mmThis wire has the largest diameter and thus the greatest cross-sectional area, resulting in the lowest resistance of the group.B) 1 km of American wire gauge 2; diameter 6.54 mmWith a smaller diameter than AWG 1, this wire has higher resistance, but it remains lower than that of thinner gauges.C) 1 km of American wire gauge 3; diameter 5.83 mmThis continues the trend of increasing resistance with decreasing diameter, yet it is still less resistive than AWG 4.D) 1 km of American wire gauge 4; diameter 5.19 mmThis wire has the smallest diameter and therefore the smallest cross-sectional area. For a fixed length and material, this results in the highest resistance among the options.ConclusionResistance increases as wire diameter decreases, making the AWG 4 wire the most resistive. The correct answer is D) 1 km of American wire gauge 4; diameter 5.19 mm.

Given the four wires described here, which would you expect to have the greatest resistance?

A
1 km of American wire gauge 1; diameter 7.35 mm

B
1 km of American wire gauge 2; diameter 6.54 mm

C
1 km of American wire gauge 3; diameter 5.83 mm

D
1 km of American wire gauge 4; diameter 5.19 mm

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Given the four wires described here, which would you expect to have the greatest resistance?

A 1 km of American wire gauge 1; diameter 7.35 mm B 1 km of American wire gauge 2; diameter 6.54 mm C 1 km of American wire gauge 3; diameter 5.83 mm D 1 km of American wire gauge 4; diameter 5.19 mm

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Related Questions

A
1 km of American wire gauge 1; diameter 7.35 mm

B
1 km of American wire gauge 2; diameter 6.54 mm

C
1 km of American wire gauge 3; diameter 5.83 mm

D
1 km of American wire gauge 4; diameter 5.19 mm