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Question

Which has more resistance:

(a) a long piece of nichrome wire or a short one?
(b) a thick piece of nichrome wire or a thin piece?

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Solution


(a) A long piece of nichrome wire has more resistance because the resistance of a conductor is directly proportional to its length, R α l.
(b) A thin piece of nichrome wire has more resistance because the resistance of a conductor is inversely proportional to its area of cross-section, i.e. R α 1 / A
. The lesser the area of cross-section, the more the resistance.

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