Question

8 gauge copper wire has a diameter of 3.26 mm, while 12 gauge copper wire has...

8 gauge copper wire has a diameter of 3.26 mm, while 12 gauge copper wire has a diameter of 2.05 mm. For the following lengths of wire, which must have the lowest resistance?

40 cm of 8 gauge wire

40 cm of 12 gauge wire

80 cm of 12 gauge wire

80 cm of 8 gauge wire

(work the problem out with explanation)

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Answer #1

Resistance of a wire is given by R= resistivity*length/area

Therefore, least resistance will be observed in the wire with least value of length/area

This means the wire with low length and high diameter will have least resiatance.

Among the given options, the wire that satisfies this criteria is 40 cm of 8 gauge wire

This is the required answer

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