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17.
(a) It should be emphasized that the result, given in terms of sin(2
πft
), could as easily be given in
terms of cos(2
πft
)orevencos(2
πft
+
φ
)where
φ
is a phase constant as discussed in Chapter 16.
The angular position
θ
of the rotating coil is measured from some reference line (or plane), and
which line one chooses will aFect whether the magnetic ﬂux should be written as
BA
cos
θ
,
BA
sin
θ
or
BA
cos(
θ
+
φ
). Here our choice is such that Φ
B
=
BA
cos
θ
. Since the coil is rotating steadily,
θ
increases linearly with time. Thus,
θ
=
ωt
(equivalent to
θ
=2
πft
)i
f
θ
is understood to be in
radians (and
ω
would be the angular velocity). Since the area of the rectangular coil is
A
=
ab
,
±araday
’slawleadsto
E
=
−
N
d
(
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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