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Chapter 28: Q58P (page 832)
The magnetic dipole moment of Earth has magnitude . Assume that this is produced by charges flowing in Earth鈥檚 molten outer core. If the radius of their circular path is 3500 km, calculate the current they produce.
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A proton, a deuteron (q=+e, m=2.0u), and an alpha particle (q=+2e, m=4.0u) are accelerated through the same potential difference and then enter the same region of uniform magnetic field, moving perpendicular to . What is the ratio of (a) the proton鈥檚 kinetic energy Kp to the alpha particle鈥檚 kinetic energy Ka and (b) the deuteron鈥檚 kinetic energy Kd to Ka? If the radius of the proton鈥檚 circular path is 10cm, what is the radius of (c) the deuteron鈥檚 path and (d) the alpha particle鈥檚 path
An electron is moving at in a magnetic field of strength 83.0mT. What is the (a) maximum and (b) minimum magnitude of the force acting on the electron due to the field? (c) At one point the electron has an acceleration ofmagnitude role="math" localid="1662987933736" .What is the angle between the electron鈥檚 velocity and the magnetic field?
A mass spectrometer (Figure) is used to separate uranium ions of masskg and chargeC from related species. The ions are accelerated through a potential difference of 100 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 1.00 m. After traveling through 180掳 and passing through a slit of width 1.00 mm and height 1.00 cm, they are collected in a cup.
(a)What is the magnitude of the (perpendicular) magnetic field in the separator?If the machine is used to separate out 100 mg of material per hour
(b)Calculate the current of the desired ions in the machine.
(c)Calculate the thermal energy produced in the cup in 1.00 h.
Figure 28-29 shows 11 paths through a region of uniform magnetic field. One path is a straight line; the rest are half-circles. Table 28-4 gives the masses, charges, and speeds of 11 particles that take these paths through the field in the directions shown. Which path in the figure corresponds to which particle in the table? (The direction of the magnetic field can be determined by means of one of the paths, which is unique.)
At time t1, an electron is sent along the positive direction of an x-axis, through both an electric fieldand a magnetic field, withdirected parallel to the y-axis. Figure 28-33 gives the ycomponent Fnet, yof the net force on the electron due to the two fields, as a function of theelectron鈥檚 speed vat time t1.The scale of the velocity axis is set by100.0 m/s. The xand zcomponents of the net force are zero at t1. Assuming, find
(a)the magnitude E and
(b )in unit-vector notation.
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