An electrician in Barbados compares two wires of the same material and length. Wire X has a cross-sectional area of 2 mm² and Wire Y has a cross-sectional area of 4 mm². What is the ratio of the resistance of Wire X to Wire Y?

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Question

An electrician in Barbados compares two wires of the same material and length. Wire X has a cross-sectional area of 2 mm² and Wire Y has a cross-sectional area of 4 mm². What is the ratio of the resistance of Wire X to Wire Y?

Accepted Answer

2:1 — Award 1 mark for correctly calculating 2:1. Using R = ρL/A, resistance is inversely proportional to cross-sectional area. Since Wire X has half the area of Wire Y, it has twice the resistance. A is incorrect because it reverses the relationship. C and D are incorrect because the relationship is not squared.

Answer

1:4

Answer

2:1

Answer

4:1

Answer

1:2

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