Charge in a Magnetic Field 6. A charge of + 2.0 x 10-2 C and mass of 0.20 kg is moving at 4 m/s [W] in a uniform magnetic field of 10 T [up]. a) Find the radius of the circular motion. b) What will happen if you change the sign of the charge? c) What will happen if you increase each of the following (one at a time) i) The mass iii) The speed d) What electric field for part a) would cause the charge to move with uniform motion? ii) The charge iv) The magnetic field What about for part b)?

Charge in a Magnetic Field 6. A charge of + 2.0 x 10-2 C and mass of 0.20 kg is moving at 4 m/s [W] in a uniform magnetic field of 10 T [up]. a) Find the radius of the circular motion. b) What will happen if you change the sign of the charge? c) What will happen if you increase each of the following (one at a time) i) The mass iii) The speed d) What electric field for part a) would cause the charge to move with uniform motion? ii) The charge iv) The magnetic field What about for part b)?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Magnetic Fields

Section: Chapter Questions

Problem 29.12OQ

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(a) Viewers of Star Trek have heard of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy swore is to store antimatter charged particles in a vacuum chamber, circulating in a magnetic field, and then exact them as needed Antimatter annihilates normal matter, producing pure energy. What strength magnetic field is needed to hold antiprotons, moving at 5.0 × l0 m/s in a circular path 2.00 m in radius? Antiprotons have the same mass as protons but the opposite (negative) charge. (b) Is this field strength obtainable with today’s technology or is it a futuristic possibility?
An electron in a TV CRT moves with a speed at 6.00107m/s, in a direction perpendicular to the Earth’s field, which has a strength of 5.00105T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a correction.)
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A particle in the cyclotron shown in Figure 28.16a gains energy qV from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T=2=2mqB so the particles average rate of increase in energy is 2qVT=q2BVm Notice that this power input is constant in time. On the other hand, the rate of increase in the radius r of its path is not constant. (a) Show that the rate of increase in the radius r of the panicles path is given by drdt=1rVB (b) Describe how the path of the particles in Figure 28.16a is consistent with the result of part (a). (c) At what rate is the radial position of the protons in a cyclotron increasing immediately before the protons leave the cyclotron? Assume the cyclotron has an outer radius of 0.350 m, an accelerating voltage of V = 600 V, and a magnetic field of magnitude 0.800 T. (d) By how much does the radius of the protons path increase during their last full revolution? Figure 28.16 (a) A cyclotron consists of an ion source at P, two does D1 and D2 across which an alternating potential difference is applied, and a uniform magnetic field. (The south pole of the magnet is not shown.) (b) The first cyclotron, invented by E. O. Lawrence and M. S. Livingston in 1934.
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