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Question

How does the resistance of a wire vary with its:
(a) area of cross- sefction?
(b) diameter?

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Solution

a)
The resistance of a wire is inversely proportional to the area of cross- section of a conducting wire, i.e. if its area is tripled its resistance becomes one third of the previous resistance.
R proportional to 1 over A
b)
The resistance of a wire is inversely proportional to the square of the diameter of a conducting wire, i.e. if its diameter is doubled its resistance becomes one fourth of the previous resistance.
R proportional to 1 over d squared


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