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Explain why R = R0 (1 + ??T) for the temperature variation

Chapter 20, Problem 12

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QUESTION:

Problem 12CQ

Explain why R = R0 (1 + αΔT) for the temperature variation of the resistance R of an object is not as accurate as ρ = ρ0 (1 + αΔT) , which gives the temperature variation of resistivity ρ

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QUESTION:

Problem 12CQ

Explain why R = R0 (1 + αΔT) for the temperature variation of the resistance R of an object is not as accurate as ρ = ρ0 (1 + αΔT) , which gives the temperature variation of resistivity ρ

ANSWER:

Solution 12CQ

Step 1 of 3

The variation in resistivity due change in temperature is given as,

 =0(1 + )

Here, 0 is the initial resistivity, the temperature coefficient of resistivity is, is the final resistivity after the temperature change .

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