A carbon resistor is to be used as a thermometer. On a winter day when the tempe

Question

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 217.8? . What is the temperature on a spring day when the resistance is 216.0? ? Take the temperature coefficient of resistivity for carbon to be ? = ?5.00 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 217.8? . What is the temperature on a spring day when the resistance is 216.0? ? Take the temperature coefficient of resistivity for carbon to be ? = ?5.00

Explanation / Answer

?-??= ????T

Now because of their relationship (R=?*(L/A), and L and A are not changing), R/R? = ?/??, so we solve for that:

? = ????T+??

?/??=??T+1

R/R? = ??T+1

Now all we need to do is solve for ?T:

R/R? -1 = ??T

(R/R? -1)/? = ?T

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