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Question

Which will offer more resistance a short wire or a long wire? Give reasons.


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Solution

Resistance is a measure of opposition to the flow of current through a material.

The formula of the resistance of the material is

R=ρlA

Where ρ is resistivity, l is the length of the conductor and A is the area of the cross-section.

The resistance R of a wire is directly proportional to its length l.

Rαl

Hence, the resistance increases by increasing length and it decreases by decreasing length.

Therefore, the long wire will offer more resistance than the short wire.


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