The temperature of the filament when hot assuming an average temperature coefficient of resistivity
Answer to Problem 19P
Explanation of Solution
Given info:
A
An average temperature coefficient of resistivity
Formula used:
The resistivity of metal increases linearly with the temperature. Expression for this:
Where,
Calculation:
Formula for temperature-dependent resistivity,
Now, solve for
The length and cross-sectional area are constant. Because of change in resistivity the resistance will be changed;
It means that the ratio of the hot as well as cold resistances are qual to the ratio of the hot and cold resistivities. So,
Substitute the resistances for the resistivities,
Substitute the given resistances and the temperature coefficient
Conclusion: The required temperature is
Chapter 18 Solutions
Physics: Principles with Applications
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