We know for resonance, the maximum radius of the circular path of the proton in a cyclotron is given by
Again,
Using these we can find the magnetic field.
A cyclotron with dee radius 45.0 cm is operated at an oscillator frequency of 11.0 MHz...
please do last problem with neat work The original (uniform magnetic field) type of fixed frequency cyclotron was limited in energy because of the relativistic increase of mass of the accelerated particle with energy. What percentage increment to the magnetic flux density at extreme radius would be necessary to preserve the resonance condition for protons of energy 20 MeV? A cyclotron is powered by a 50,000 V, 5 Mc/s radio frequency source. If it. diameter is 1.524 m. what magnetic...
15.2) Cyclotron A cyclotron consists of two dee magnets each of radius 30 cm. They create a 0.75 T magnetic field perpendicular to their faces. The potential difference across the gap between the dee magnets is 500 V. The cyclotron is accelerating an alpha particle (helium-4 nucleus). (a) How much time does it take the alpha particle to travel one full revolution? (b) What is the alpha particle’s maximum kinetic energy achievable in this cyclotron? (c) How many complete revolutions...
In a certain cyclotron a proton moves in a circle of radius 0.380 m. The magnitude of the magnetic field is 1.80 T. (a) What is the oscillator frequency (in Hz)? (b) What is the kinetic energy (in eV) of the proton?
In a certain cyclotron a proton moves in a circle of radius 0.660 m. The magnitude of the magnetic field is 1.00 T. What is the oscillator frequency? What is the kinetic energy of the proton? Number Number Units Units
A cyclotron uses a magnetic field of 0.575 T to accelerate protons. It has a maximum radius of 0.600 m. (proton mass 1.673x10-27 kg, proton charge 1.602x10-19 C) a. Derive an expression for the frequency of the alternating voltage on the dees of the cyclotron. b. What is the frequency of the voltage? c. What is the maximum kinetic energy of the protons as they emerge from the instrument? d. What is the equivalent accelerating voltage?
A cyclotron designed to accelerate proton has a magnetic field of magnitude 0.450 T over a region of radius 1.02 m. What are (a) the cyclotron frequency and (b) the maximum speed acquired by the protons?
A cyclotron (figure) designed to accelerate protons has an outer radius of 0.339 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 612 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.736 T. BAA The black, dashed, curved lines represent the path of the particles. Alternating AV D After hoine An illustration and a photo show...
A cyclotron, designed to accelerate protons, has a magnetic field of 0.450 T magnitude in a region of radius 1.20 m. What are the values of (a) the frequency of the cyclotron, (b) the maximum speed acquired by the protons, (c) the acceleration experienced by the protons and (d) the magnetic force exerted on the protons?
A cyclotron (figure) designed to accelerate protons has an outer radius of 0.354 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 614 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.832 T. The black, dashed, curved lines represent the path of the particles. Alternating AV D2 After being accelerated, the particles exit here. North pole...
2. A cyclotron is a device used to accelerate charged particles to high speeds. It consists of two hollow containers -called dees because of their shape facing each other and separated by a small gap. They are immersed in a uniform magnetic field, B, and are attached to a source of alternating voltage. A charged particle is projected from the center of the cyclotron into Dee #1, and the magnetic force causes it to turn in a cirele. When it...