How is the resistance of a wire affected if its (a) length is doubled, (b) radius is doubled?

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Solution

(a) The resistance of a wire is directly proportional to the length of a wire; so if the length is doubled, resistance is also doubled.
(b) The resistance of a wire is inversely proportional to the area of cross-section the wire. Thus, if the radius is doubled, the area increases four times and hence the resistance becomes one-fourth.

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