(a)
The, numerical value of
(a)
Explanation of Solution
Given:
The temperature dependence of resistance of a thermistor is
Formula used:
Write the expression of resistance for thermistor.
Here,
Calculation:
Substitute
Substitute
Divide expression (2) by (3).
Take logarithm of the above expression.
Simplify the above expression for
Rearrange the expression (2).
Substitute
Conclusion:
Thus, the value of
(b)
The, resistance of the thermistor at
(b)
Explanation of Solution
Given:
The temperature dependence of resistance of a thermistor is
Formula used:
Write the expression of resistance for thermistor.
Here,
Calculation:
Substitute
Conclusion:
Thus, the value of resistance at
(c)
The, rate of change of temperature at ice point and steam point.
(c)
Explanation of Solution
Given:
The temperature dependence of resistance of a thermistor is
Formula used:
Write the expression of resistance for thermistor.
Differentiate both sides of the above expression with respect to
For ice point.
Substitute
For steam point.
Substitute
Conclusion:
Thus, the rate of change of resistance at ice point is
(d)
The, temperature sensitivity of the thermistor.
(d)
Explanation of Solution
Given:
The temperature dependence of resistance of a thermistor is
Introduction:
The resistance of a thermistor is a function of temperature. The resistance of a thermistor changes with respect to the temperature.
A thermistor is more sensitive at lower temperature.
Write the expression of resistance of a thermistor as a function of temperature.
As the temperature decreases the thermistor becomes more sensitive.
Conclusion:
Thus, a thermistor becomes more sensitive at lower temperature.
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Chapter 17 Solutions
Physics For Scientists And Engineers
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