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21.44. Set Up:
and
Solve:
so
21.45. Set Up:
Example 21.10 shows that the inductance of a toroidal solenoid is
The energy stored
in an inductor is
Solve:
and
Reflect:
The stored energy is proportional to the square of the number of turns even though the magnetic field
within the solenoid is directly proportional to the number of turns. We will see in Section 21.10 that the magnetic
field energy depends on the square of the magnetic field.
21.46. Set Up:
Solve: (a)
(b)
This is not a reasonable current in a circuit; it is too large.
21.47. Set Up:
The selfinductance of a solenoid is found in Problem 21.37 to be
The
length
l
of the solenoid is the number of turns divided by the turns per unit length.
Solve: (a)
(b)
If
is the number of turns per unit length, then
and
For this coil
This is not a practical length for laboratory use.
Reflect:
The number of turns is
The length of wire in the
solenoid is the circumference
C
of one turn times the number of turns.
The length of wire is
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 Spring '07
 Shoberg
 Inductance

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