The accleration of protons in a cyclotron is shown in the figure below.The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protonsis 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6-10-19 C.DeeOOIon sourceElectric oscillator1 Deflector plateProton beamTargetElectric field region wherekinetic energy is gained a. What is the kinetic energy of the protons when they are ejected from the cyclotron?KE at ejection-12= 1.92×10b. What is this energy in MeV?KE at ejection in MeV = 11.98MeVc. Through what total potential difference (potential difference between the gaps and number of tripsthrough the gaps) would a proton have to be accelerated to acquire this kinetic energy?Think about the magnitude of potential you have calculated. While designing the cyclotron, gappotential can be made much smaller than this magnitude by making the proton pass through the gapseveral times by making it pass through a magnetic field and confining the protons to a circular pathbefore the next increment in energy.Potential difference = 5.99MVd. What is the period of the voltage source used to accelerate the protons? Hint: For maximumenergy transfer from the external voltage source to the proton, the period of the oscillating voltageshould coincide with the period of oscillation of the proton.Period of the voltage source =-85.25×10S!No, that's only partially correct

Answered: Image /qna-images/answer/775396ee-c313-4928-aefa-490bf1f819f7.jpg

The accleration of protons in a cyclotron is shown in the figure below. The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6.10-19 C.

The accleration of protons in a cyclotron is shown in the figure below. The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.4 m. The mass of a proton is 1.67-10-27 kg and the charge on a proton is 1.6.10-19 C.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 31P: An alpha-particle ( m=6.641027kg , q=3.21019C ) travels in a circular path of radius 25 cm in a...

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The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating protons is 0.40 m. (a) What is the kinetic energy of the protons when they are ejected from the cyclotron? (b) What Is this energy in MeV? (c) Through what potential difference would a proton have to be accelerated to acquire this kinetic energy? (d) What is the period of tire voltage source used to accelerate the piotons? (e) Repeat tire calculations for alpha-particles.
(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 alpha-particle ( m=6.641027kg , q=3.21019C ) travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 1.5 T. (a) What is the speed of the particle? (b) What is the kinetic energy in electron-volts? (c) Through what potential difference must the particle be accelerated in order to give it this kinetic energy?
An electron moving at 4.00103m/s in a 1.25T magnetic field experiences a magnetic force of 1.401016N. What angle does the velocity at the electron make with the magnetic field? There are two answers.
A proton track passes through a magnetic field with radius of 50 cm. The magnetic field strength is 1.5 T. What is the total energy of the proton?
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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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