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Given that R1 is 3.1Ω at 30°C and R2 is 4.5Ω at 100°C, determine the expression for R2 using the formula R = R0(1 + αt).

1. R2 = R0(1 + α(30))
2. R2 = R0(1 + α(100))
3. R2 = R0(1 + α(50))
4. R2 = R0(1 + α(70))

Correct answer: R2 = R0(1 + α(100))

Solution

The formula R = R0(1 + αt) directly relates resistance to temperature. Since R2 is given at t = 100°C, the correct substitution is R2 = R0(1 + α(100)).

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