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Chapter 28: Q23P (page 830)
What uniform magnetic field, applied perpendicular to a beam of electrons moving at m/s, is required to make the electrons travel in a circular arc of radius 0.350 m?
The required magnetic field is .
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Figure 28-31 gives snapshots for three situations in which a positively charged particle passes through a uniform magnetic field . The velocitiesof the particle differ in orientation in the three snapshots but not in magnitude. Rank the situations according to (a) the period, (b) the frequency, and (c) the pitch of the particle鈥檚 motion, greatest first.
A 5.0particle moves through a region containing the uniform magnetic field localid="1664172266088" and the uniform electric field 300j^ V/m. At a certain instant the velocity of the particle is localid="1664172275100" . At that instant and in unit-vector notation, what is the net electromagnetic force (the sum of the electric and magnetic forces) on the particle?
Physicist S. A. Goudsmit devised a method for measuring the mass of heavy ions by timing their period of revolution in a known magnetic field. A singly charged ion of iodine makes 7revin a 45.0mTfield in 1.29ms. Calculate its mass in atomic mass units.
Prove that the relation holds not only for the rectangular loop of Figure but also for a closed loop of any shape. (Hint:Replace the loop of arbitrary shape with an assembly of adjacent long, thin, approximately rectangular loops that are nearly equivalent to the loop of arbitrary shape as far as the distribution of current is concerned.)
A cyclotron with dee radius 53.0 cm is operated at an oscillator frequency of 12.0 MHz to accelerate protons.
(a) What magnitude Bof magnetic field is required to achieve resonance?
(b) At that field magnitude, what is the kinetic energy of a proton emerging from the cyclotron? Suppose, instead, that B = 1.57T.
(c) What oscillator frequency is required to achieve resonance now?
(d) At that frequency, what is the kinetic energy of an emerging proton?
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