12/3/2004 Example The Inductance of a Solenoid 1/3
Jim Stiles The Univ. of Kansas Dept. of EECS
Example: The Inductance
of a Solenoid
Many inductors used in electronic circuits are simply solenoids.
Let’s determine the inductance of this structure!
First, we recall that inductance is the ratio of the current and
the flux linkages that the current produces:
Webers
inductance Amp
Li
⎡
⎤
Λ=
⎢
⎥
⎣
⎦
The question then is, what is flux linkages
Λ
for a solenoid?
Recall that the magnetic
flux density in the interior
of a solenoid is:
()
z
Ni ˆ
ra
d
µ
≈B
where
N
is the number of
loops and
d
is
the length of
the solenoid.
(
)
it
µ
d
z
