(a)
Weather the design goal is achieved with this method or not.
(a)
Answer to Problem 32P
The design goal is achieved with this method.
Explanation of Solution
Write the expression to obtain the resistance in the wire.
Here,
Substitute
Here,
Write the expression to obtain the carbon resistance in the wire.
Here,
Write the expression to obtain the nichrome resistance in the wire.
Here,
Write the expression to obtain the variation in resistance with change in temperature.
Here,
Write the expression to obtain the final resistance.
Here,
Resistance is independent of temperature variation, thus,
Compare equation (III) and (IV).
Substitute
The sum of the resistances is given as
Conclusion:
Substitute
Substitute
As the equation (VII) and (VIII) provides the suitable values of the resistances,
Therefore, the design goal is achieved with this method.
(b)
The length of the carbon and the nichrome cylinder.
(b)
Answer to Problem 32P
The length of the carbon cylinder is
Explanation of Solution
Conclusion:
Substitute
Substitute
Therefore, the length of the carbon cylinder is
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Chapter 27 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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