mag desig Iccelera a. What is the frequency of this cyclotron? b. What must be the minimum radius of the magnet to reach 25 Mev of energy by the time it emerges from the cyclotron. c. If the alternating potential applied to these two D cyclotrons has a maximum value of 50 kV, how many revolutions must the proton make before exiting the cyclotron with an energy of 25 Mev.
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- 13. You have decided to use a magnetic field in combination with an electric field as a switch to either make a beam of electrons pass straight through a certain region of an apparatus or to curve 90° and go through an auxiliary portion of the apparatus. The beam of electrons travels to the right at a speed of 4.8 x 106 m/s and you designed the electric field (8400 V/m) to be oriented 10⁰ vertically up. a) When the electric field is on, what strength of B-field is necessary for the beam to travel un-deflected? (Note: You can ignore gravity.) b) What is the orientation of the B-field? c) When the electric field is turned off, how long does it take an electron to turn into the auxiliary apparatus?Determine the velocity of a beam of electrons that goes un-deflected when moving perpendicular to an electric and a magnetic field. E and B are also perpendicular to each other and have magnitudes 7.7 x103 V/m and 7.5x10-3T, respectively.A proton travels through a 0.75 T magnetic field in a circle with a radius of 0.30 m. What is the momentum of this proton?
- 12. A 10.2-µC particle with a mass of 2.80 * 10-5 kg moves perpendicular to a 0.850-T magnetic field in a circular path of radius 29.3 m. (a) How fast is the particle moving? (b) How much time will it take for the particle to complete one orbit? Chap 22_#223) Recall that we can analyze the nature of particles with a velocity selector and mass spectrometer. Suppose we know that the charge of the particle we're experimenting with is that of an electron but we don't know their speed and we don't know their mass. a) The velocity selector is constructed to have a magnetic field of 0.157 pointing into the paper plane and an electric field of 70N/C pointing downward. What is the speed of negatively charged particles if they don't experience any deflection? b) Suppose that those particles that are not deflected then enter a magnetic field of 37 pointing into the plane (no electric field). If we measure a diameter of the circular orbit in this magnet field of 1cm what is the mass of the particle?A 3.5 mC charge moves with a speed of 10,000 m/s in a magnetic field of 0.5 T. How much force is exerted on the charge?