The force F = qv x B is orthogonal to v and B at all points and holds the proton in a circular trajectory. F F F F B B В B Figure 13.65

Physics for Scientists and Engineers: Foundations and Connections
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Chapter25: Gauss’s Law
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Force on a proton A proton with a mass of 1.7 × 10-27 kg and a charge of q = +1.6 × 10-19 coulombs (C) moves along the x-axis with a speed of |v| = 9 × 105 m>s. When it reaches (0, 0, 0), a uniform magnetic field is turned on. The field has a constant strength of 1 tesla (1 T) and is directed along the negative z-axis as shown.
a. Find the magnitude and direction of the force on the proton at the instant it enters the magnetic field.
b. Assume the proton loses no energy and the force in part (a) acts as a centripetal force with magnitude |F| = m|v|2/R that keeps the proton in a circular orbit of radius R. Find the radius of the orbit.

The force F = qv x B is orthogonal to
v and B at all points and holds the proton
in a circular trajectory.
F
F
F
F
B
B
В
B
Figure 13.65
Transcribed Image Text:The force F = qv x B is orthogonal to v and B at all points and holds the proton in a circular trajectory. F F F F B B В B Figure 13.65
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