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EE321 Spring 2012
Homework 2
Problems 1 – UI Inductor Analysis
Consider the UI core below.
Consider the following parameters:
1
=
w
cm;
5
=
s
w
cm;
2
=
s
d
cm;
5
=
d
cm;
1.5
g
=
mm;
100
=
N
.
Suppose the material used is such that for a
flux density less than 1.3 T (the saturation point), the magnetic material is linear and has
a permeability 1500 times that of free space (i.e. a relative permeability of 1500).
What is the inductance of the UI core ?
For the current level that yields a flux
density of 1.3 T, what will be the energy stored in the inductor.
Recompute the
inductance of the core, the current that will result in a flux density of 1.3 T, and the
energy stored in the core if the airgap is removed.
This example illustrates why
inductors utilize an air gap.
Note: along these lines, it worth noting that energy density
at any point is the dot product of the field intensity and the flux density.
Problem 2 – On Permeability Functions
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This note was uploaded on 02/19/2012 for the course ECE 321 taught by Professor Staff during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 Staff
 Flux

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