A solenoidal inductor for a printed circuit board is being redesigned. To save weight, the number of turns is reduced by one-ninth, with the geometric dimensions kept the same. By how much must the current change if the energy stored in the inductor is to remain the same?
A solenoidal inductor for a printed circuit board is being redesigned. To save weight, the number of turns is reduced by one-ninth, with the geometric dimensions kept the same. By how much must the current change if the energy stored in the inductor is to remain the same?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 7OQ
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A solenoidal inductor for a printed circuit board is being redesigned. To save weight, the number of turns is reduced by one-ninth, with the geometric dimensions kept the same. By how much must the current change if the energy stored in the inductor is to remain the same?
- It must be eighty-one times larger.
- It must be nine times larger.
- It should be left the same.
- It should be one-ninth as large.
- No change in the current can compensate for the reduction in the number of turns.
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