Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 2ICA
An inductor is an electrical device that can store energy in the form of a magnetic field. In the simplest form, an inductor is a cylindrical coil of wire, and its inductance (L), measured in henrys [H), can be calculated by
Where
µ0 =.permeability of free space=4π × 10-7 [newtons per ampere squared, N/ A2]
n = number of turns of wire [dimensionless]
A = cross-sectional area of coil [square meters, m2]
l = length of coil [meters, m]
L = inductance [henrys, H] = [J /A2]
Several inductors were fabricated with the same number of turns of wire (n) and the same length (ℓ), but with different diameters, thus different cross-sectional areas (A). The inductances were measured and plotted as a function of cross-sectional area, and a mathematical model was developed to describe the relationship, as shown on the following graph.
- a. What are the units of the slope (9.66)?
- b. For an inductor fabricated as described above, what is its diameter if its inductance is 0.4 henrys?
Give your answer in centimeters.
- c. If the length of the coil (ℓ) equals 0.2 meter, how many turns of wire (n) are in the inductor?
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Chapter 12 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
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