A cyclotron used to accelerate protons has a uniform magnetic field of 0.69 T. What is the frequency at which the potential difference between the dees must oscillate? (Your result must be in units of MHz's. Include 1 digit after the decimal point and maximum of 3% of error is accepted in your answer. Take elementary charge 1.6 x 10 -19 C, mass of proton 1.67 x 10 -27 kg and π = 3.14.)

A cyclotron used to accelerate protons has a uniform magnetic field of 0.69 T. What is the frequency at which the potential difference between the dees must oscillate? (Your result must be in units of MHz's. Include 1 digit after the decimal point and maximum of 3% of error is accepted in your answer. Take elementary charge 1.6 x 10 -19 C, mass of proton 1.67 x 10 -27 kg and π = 3.14.)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 55P: The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating...

See similar textbooks

Similar questions

How strong a magnetic field (B, in Tesla) is needed to keep an electron moving at a speed of (1/100)c in a circular path of radius 1m?
What is the period of revolution of alpha particles in a cyclotron with a radius of 0.50 meters, if it is known that the mass of particles is m = 6.64*10−27kg, and their charge is q = 3.2*10−19C? Consider the magnetic field created in the cyclotron equal to 1.8 T. Also calculate the value of their maximum kinetic energy.
What is the radius of the path of an electron (mass 9×10-31 kg and charge 1.6×10-19 C) moving at a speed of 3x107 m/s in a magnetic field of 6 × 10-4 T perpendicular to it? What is its frequency? Calculate its energy in keV. ( 1 eV = 1.6 × 10-19 J).
Suppose another solanoid is to be designed to produce a uniform 1.350-T magnetic field near its center, and a very long wire will be wound around it 4750 times. If the solanoid has to be 45.65-cm long and 7.8-cm in diameter, how much electric current is needed to produce the given field?
For a proton to pass undeflected in a region where the electric field is 0.5 N/C and a magnetic field of 1.25x10^-4 T, its speed must be?
Consider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.
Consider a region where a 1.85-volt-per-meter electric field and a 2.49-tesla magnetic field exist and are along the same direction. If an 4.72-coulomb charge is in said region, is moving at a direction 32.75 degrees counter-clockwise from the direction of the magnetic field, and is experiencing a total force of 37.88 newtons, determine the speed of the electron, in meters per second. Assume the velocity vector, the electric field, and the magnetic field are all coplanar.
A positron with kinetic energy 2.00 keV is projected into a uniform magnetic field of magnitude 0.100 T, with its velocity vector making an angle of 89.0° with . Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
The magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.85 T. The poles have a radius of 0.40 m, which is the maximum radius of the orbits of the accelerated particles. (a) What is the maximum energy to which protons (q = 1.60 * 10-19 C, m = 1.67 * 10-27 kg) can be accelerated by this cyclotron? Give your answer in electron volts and in joules. (b) What is the time for one revolution of a proton orbiting at this maximum radius? (c) What would the magnetic-field magnitude have to be for the maximum energy to which a proton can be accelerated to be twice that calculated in part (a)? (d) For B = 0.85 T, what is the maximum energy to which alpha particles (q = 3.20 * 10-19 C, m = 6.64 * 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maximum energy for protons?
A positron with kinetic energy 1.80 keV is projected into a uniform magnetic field of magnitude 0.140 T, with its velocity vector making an angle of 88.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
A proton (with charge of 1.6 x 10^-19 C and mass of 1.7*10^-27 kg) traveling at a speed of 53,045,750 m/s in the + x-direction enters a region of space where there is a magnetic field of strength 0.6 T in the - z-direction. What would be the radius of the circular motion that the proton would go into if it is "trapped" in this magnetic field region?
What is the radius of curvature of the path of a 3.0-keV proton in a perpendicular magnetic field of magnitude 0.80 T?