Two conducting semicircles, MN and MO, centered at points O and O, respectively, are placed on a horizontal plane. The radii of the two semicircles are 4 cm and 2 cm, respectively. The two semicircles are in electrical contact at point M. A uniform magnetic field nomal to the horizontal plane exists in the region enclosed by the two semicircles and the line ON, as shown in Figure 2. The magnitude of the magnetic field is B - 0.015 T. An ultrathin conducting rod has one end electrically connected to the smaller semicircle MO at point O, and is fixed at point O. The rod has a length equals to the radius of the larger semicircle, and it rotates clockwise around O at a constant angular velocity w = 50 z rad/s. During the rotation, the other end of the rod, labelled as P, is in good electrical contact with the larger semicircle MN. At t= 0, the end of the rod P is at point M. For 0srs, as the rod rotates, it is also in good electrical contact with the 20 smaller semicircle MO at some point Q, as shown in Figure 2. Assume that the conducting rod has a uniform resistance per unit length, i = 5 Qm. Neglect the resistance of the two semicircles.
Two conducting semicircles, MN and MO, centered at points O and O, respectively, are placed on a horizontal plane. The radii of the two semicircles are 4 cm and 2 cm, respectively. The two semicircles are in electrical contact at point M. A uniform magnetic field nomal to the horizontal plane exists in the region enclosed by the two semicircles and the line ON, as shown in Figure 2. The magnitude of the magnetic field is B - 0.015 T. An ultrathin conducting rod has one end electrically connected to the smaller semicircle MO at point O, and is fixed at point O. The rod has a length equals to the radius of the larger semicircle, and it rotates clockwise around O at a constant angular velocity w = 50 z rad/s. During the rotation, the other end of the rod, labelled as P, is in good electrical contact with the larger semicircle MN. At t= 0, the end of the rod P is at point M. For 0srs, as the rod rotates, it is also in good electrical contact with the 20 smaller semicircle MO at some point Q, as shown in Figure 2. Assume that the conducting rod has a uniform resistance per unit length, i = 5 Qm. Neglect the resistance of the two semicircles.
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Transcribed Image Text:Two conducting semicircles, MN and MO, centered at points O and O, respectively, are
placed on a horizontal plane. The radii of the two semicircles are 4 cm and 2 cm,
respectively. The two semicircles are in electrical contact at point M. A uniform magnetic
field nomal to the horizontal plane exists in the region enclosed by the two semicircles
and the line ON, as shown in Figure 2. The magnitude of the magnetic field is
B - 0.015 T. An ultrathin conducting rod has one end electrically connected to the
smaller semicircle MO at point O, and is fixed at point O. The rod has a length equals to
the radius of the larger semicircle, and it rotates clockwise around O at a constant angular
velocity w = 50 z rad/s. During the rotation, the other end of the rod, labelled as P, is in
good electrical contact with the larger semicircle MN. At t= 0, the end of the rod P is at
point M. For 0srs, as the rod rotates, it is also in good electrical contact with the
20
smaller semicircle MO at some point Q, as shown in Figure 2. Assume that the
conducting rod has a uniform resistance per unit length, i = 5 Qm. Neglect the
resistance of the two semicircles.
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