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HPHY 253.02 Exam 03 (takehome)
Spring Semester 2009
Dr. A. E. Bak
Name
Instructions.
For each question, show all work leading to an answer and simplify as much as possible.
31
:
18
. A toroid, having a rectangular crosssection (
a
= 2
:
00
cm
by
b
=
3
:
00
cm
) and inner radius
R
= 4
:
00
cm
, consists of
500
turns of wire that carries a sinusoidal current
i
=
I
max
sin
!t
, where
I
max
= 50
:
0
A
and
f
=
!=
(2
) = 60
:
0
Hz
. A rectangular coil consisting of
20
turns of wire links with the toroid as shown in Figure
P
31
:
18
. Determine the emf induced in the
rectangular coil.
31
:
56
. A conducting rod of length
‘
moves with velocity
v
in a direction
perpendicular to a long, straight wire carrying a steady current
I
. The axis of the rod is maintained
parallel to the wire as shown in Figure
P
31
:
56
. Show that
jEj
=
±
0
I‘v
2
is the magnitude of the emf induced in the rod. In this case, note that the emf decreases with increasing
r
as you might expect.
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 Spring '09
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