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21.10. Set Up:
At
let the plane of the coil be perpendicular to the magnetic field, so
at
Then
where
is the angular velocity of the coil. B Since the field is uniform,
A
sketch of
is given in Figure 21.10a.
Figure 21.10
Solve: (a)
The instantaneous value of the induced emf equals the rate of change of the flux and this is
the slope of the curve in Figure 21.10a. From point
A
to point
B
this slope is negative and increasing in magnitude
and from
B
to
C
it is negative and decreasing in magnitude. From point
C
to
D
this slope is positive and increasing
and from
D
to
E
it is positive and decreasing. After point
E
the behavior of
repeats. Therefore, the induced emf
increases and decreases periodically and reverses sign.
(b)
The induced emf versus time is sketched in Figure 21.10b.
21.11. Set Up:
The maximum emf is produced when the opposite sides of the coil are moving perpendicular to the
field with speed
The maximum emf induced in each of the two sides on one turn is
The maximum
total emf is
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.
 Spring '07
 Shoberg

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