The resistivity p of a metal often changes as a function of temperature T in kelvin. A more general definition of the temperature coefficient of resistivity a is -, where p is the resistivity p dr' at temperature T. Assuming a is constant, solve this differential equation a = 1 dp to show that p dT p = Poe"(T-To), where po is the resistivity at a given temperature To such as room temperature.
The resistivity p of a metal often changes as a function of temperature T in kelvin. A more general definition of the temperature coefficient of resistivity a is -, where p is the resistivity p dr' at temperature T. Assuming a is constant, solve this differential equation a = 1 dp to show that p dT p = Poe"(T-To), where po is the resistivity at a given temperature To such as room temperature.
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Transcribed Image Text:4. The resistivity p of a metal often changes as a function of temperature T in kelvin. A more
general definition of the temperature coefficient of resistivity a is
p dr'
where p is the resistivity
1 dp
at temperature T. Assuming a is constant, solve this differential equation a = ·
e dr to show that
p = Poeu(1-fo, where po is the resistivity at a given temperature To such as room temperature.
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