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A wire wound resistor is constructed using wire with a diameter of 2x10-4 m and a...

A wire wound resistor is constructed using wire with a diameter of 2x10-4 m and a length of 10 m. Find the resistivity give the resistance of this resistor is 6.4 Ω.

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Answer #1

If A is the area of cross-section of the wire, is the resistivity and L is the length of the wire, then the resistance R of the wire is given as,

where A = r2, where r is the radius of the wire. Therefore the resistivity of the wire is,

Given R = 6.4 , L = 10m and diameter d = 2 x10-4m. So r = d/2 = 1 x 10-4m. So,

So the resistivity of the wire is 2.01 x 10-8 m.

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