21.30.
Set Up:
The emf
in solenoid 2 produced by changing current
in solenoid 1 is given by
The mutual inductance of two such solenoids is derived in Example 21.8 to be
where
A
and
l
are the
crosssectional area and length of solenoid 1.
Solve: (a)
(b)
21.31.
Set Up:
Solve: (a)
is constant, so
is constant.
(b)
with the same
M
as in part (a), so
21.32.
Set Up:
The inductance
L
is related to the flux
through one turn by
The voltage across the
coil is related to the rate at which the current in it is changing by
Solve: (a)
(b)
21.33.
Set Up:
Solve:
21.34.
Set Up:
Solve:
21.35.
Set Up:
Example 21.10 shows that the inductance of a toroidal solenoid is
The voltage across
the coil is related to the rate at which the current in it is changing by
Solve: (a)
(b)
Reflect:
The inductance is determined solely by how the coil is constructed. The induced emf depends on the rate at
which the current through the coil is changing.
21.36.
Set Up:
Example 21.10 shows that the inductance of a toroidal solenoid is
Solve:
L
is proportional to
so increasing
N
to
doubles
L.
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 Spring '07
 Shoberg
 Current, Inductance, Magnetic Field, Solenoid, #, Inductor, 0.500 M, 1 0.0600 m

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