An engineer wishes to construct a resistor with a zero overalltemperature coefficient of resistance at 20.0°C. She designs a pairof circular cylinders, one of carbon and one of Nichrome as shownin the figure. What is the ratio of the lengths l1 and l2 of eachsegment if the overall resistance R1 + R2 is independent oftemperature? Ignore thermal expansion. The resistivity and thetemperature coefficient of resistivity are respectively 1.00 x 10-6Ω.m and 0.400 x 10-3 /°C for Nichrome, and 3.50 x 10-5 Ω.m and-0.500 x 10-3 /°C for carbon.
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