A proton beam accelerated by a 100 kV potential difference enters a region where there is a 0.1 T magnetic field at right angles to the beam. i) Calculate the radius of curvature of the beam in the magnetic field region. ii) Sketch the trajectory of the proton beam and state how the velocity of the protons has been affected by the magnetic field.

4) An interstellar dust particle of mass 15.0 ug and charge 0.250 nC is moving in a region where cosmic magnetic field of magnitude 1.2 x 10-9 T is present. Determine the time it takes the particle to complete one full revolution of circular orbit.

1. Consider a beam of electrons that moves from the electron gun towards the screen of a cathode ray tube due to the potential difference of 15kV. A pair of coils are placed outside a cathode ray tube and produce a uniform magnetic field of 250 μT across the tube. Calculate the force experienced by the electrons if the magnetic field is in place: a. parallel with the direction of the beam. b. Perpendicular with the direction of the beam. c. 50 degrees with the direction of the beam.

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_#22

3) 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?

An alpha particle ( Helium nucleus) having a mass of 4 protons is shot into a magnetic field of 0.2 T at right angles to the field and moves in a circle of radius 20 cm. Find a) the momentum of the alpha particle b) its velocity c) kinetic energy.

5) A beta particle emitted by radioactive C-14 passes through a uniform magnetic field with magnitude 1.60 T. The beta particle is moving up along the screen with a speed equal to 86.3% of the speed of light c, and the uniform field points to the right. a) In what direction will the beta particle be deflected? Explain briefly how you got your b) answer. s What will be the magnitude of the magnetic force (in N) acting on the beta particle? Show your work. Without doing another calculation, what magnitude of magnetic force would an alpha particle, moving with the same speed as the beta particle, experience in this magnetic field? Explain your answer briefly.