A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00 ∘C, the resistance of the carbon resistor is 217.0 Ω. What is the temperature on a spring day when the resistance is 215.1 Ω? Take the temperature coefficient of resistivity for carbon to be α = - 5.00*10-4 C-1.

Question

Reilly Carey

Physics

5 February, 04:51

A carbon resistor is to be used as a thermometer. On a winter day when the temperature is 4.00 ∘C, the resistance of the carbon resistor is 217.0 Ω. What is the temperature on a spring day when the resistance is 215.1 Ω? Take the temperature coefficient of resistivity for carbon to be α = - 5.00*10-4 C-1.

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Answers (1)

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Jacquelyn Byrd · Answer 1

21.5 °C.

Explanation:

Given:

α = - 5.00 * 10-4 °C-1

To = 4°C

Ro = 217 Ω

Rt = 215.1 Ω

Rt/Ro = 1 + α (T - To)

215.1/217 = 1 + (-5 * 10^-4) * (T - 4)

-0.00876 = - 5 * 10^-4 * (T - 4)

17.5 = (T - 4)

T = 21.5 °C.