Consider the loop of wire in Figure 29.25a. Imagine it is pivoted along side O, which is parallel to the z axis and fastened so that side O remains fixed and the rest of the loop hangs vertically in the gravitational field of the Earth but can rotate around side O (Fig. 29.25b). The mass of the loop is 50.0 g, and the sides are of lengths a = 0.200 m and b = 0.100 m. The loop carries a current of 3.50 A and is immersed in a vertical uniform magnetic field of magnitude 0.010 0 T in the positive y direction (Fig. 29.25c). What angle does the plane of the loop make with the vertical?

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Consider the loop of wire in Figure 29.25a. Imagine it is pivoted along side 0, which is parallel to the z axis and fastened
so that side O remains fixed and the rest of the loop hangs vertically in the gravitational field of the Earth but can rotate
around side O (Fig. 29.25b). The mass of the loop is 50.0 g, and the sides are of lengths a = 0.200 m and b = 0.100 m.
The loop carries a current of 3.50 A and is immersed in a vertical uniform magnetic field of magnitude 0.010 0 T in the
positive y direction (Fig. 29.25c). What angle does the plane of the loop make with the vertical?
The loop hangs vertically
and is pivoted so that it
can rotate around side 4).
The magnetic torque causes the
loop to rotate in a clockwise
direction around side 4, whereas
the gravitational torque is in the
opposite direction.
L.
cos 0
a
sin 0
Figure 29.25 (Example 29.6) (a) The dimensions of a rectangular current loop.
(b) Edge view of the loop sighting down sides @ and O. (c) An edge view of the loop in
(b) rotated through an angle with respect to the horizontal when it is placed in a mag-
netic field.
Transcribed Image Text:Consider the loop of wire in Figure 29.25a. Imagine it is pivoted along side 0, which is parallel to the z axis and fastened so that side O remains fixed and the rest of the loop hangs vertically in the gravitational field of the Earth but can rotate around side O (Fig. 29.25b). The mass of the loop is 50.0 g, and the sides are of lengths a = 0.200 m and b = 0.100 m. The loop carries a current of 3.50 A and is immersed in a vertical uniform magnetic field of magnitude 0.010 0 T in the positive y direction (Fig. 29.25c). What angle does the plane of the loop make with the vertical? The loop hangs vertically and is pivoted so that it can rotate around side 4). The magnetic torque causes the loop to rotate in a clockwise direction around side 4, whereas the gravitational torque is in the opposite direction. L. cos 0 a sin 0 Figure 29.25 (Example 29.6) (a) The dimensions of a rectangular current loop. (b) Edge view of the loop sighting down sides @ and O. (c) An edge view of the loop in (b) rotated through an angle with respect to the horizontal when it is placed in a mag- netic field.
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