= 0.250 kg and Figure 28-46 shows a wood cylinder of mass m= length L=0.100 m, with N=10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long cen- tral axis of the cylinder. The cylin- der is released on a plane inclined at an angle to the horizontal, with the plane of the coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.500 T, what is the least current i through the coil that keeps the cylin- der from rolling down the plane?

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Figure 28-46 shows a wood cylinder of mass m = 0.250 kg and
length L= 0.100 m, with N=10.0 turns of wire wrapped around it
longitudinally, so that the plane of
the wire coil contains the long cen-
tral axis of the cylinder. The cylin-
der is released on a plane inclined
at an angle to the horizontal, with
the plane of the coil parallel to the
incline plane. If there is a vertical
uniform magnetic field of magnitude
0.500 T, what is the least current i
through the coil that keeps the cylin-
der from rolling down the plane?
Show that the magnitude of the magnetic field produced at
the center of a rectangular loop of wire of length L and width W,
carrying a current i, is
B =
2μi (L² + W²)¹/2
LW
T
NAME
Transcribed Image Text:Figure 28-46 shows a wood cylinder of mass m = 0.250 kg and length L= 0.100 m, with N=10.0 turns of wire wrapped around it longitudinally, so that the plane of the wire coil contains the long cen- tral axis of the cylinder. The cylin- der is released on a plane inclined at an angle to the horizontal, with the plane of the coil parallel to the incline plane. If there is a vertical uniform magnetic field of magnitude 0.500 T, what is the least current i through the coil that keeps the cylin- der from rolling down the plane? Show that the magnitude of the magnetic field produced at the center of a rectangular loop of wire of length L and width W, carrying a current i, is B = 2μi (L² + W²)¹/2 LW T NAME
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