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If the diameter of a wire is doubled, the current carrying capacity of the wire is ___________

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If the diameter of a wire is doubled, the current carrying capacity of the wire is ___________

(a) Half

(b) Twice

(c) Four times

(d) One-fourth

This question was addressed to me in an online interview.

Asked question is from Series-Parallel Interconnection of Two Port Network topic in portion Two-Port Networks of Network Theory

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The correct choice is (c) Four times

To elaborate: Since diameter is doubled, area of cross-section becomes four times. Current carrying capacity is proportional to area of cross-section.

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