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Problems for February 23, 2000

Problem 2. Microwaves in a microwave oven are produced by electrons circling in a magnetic field at a frequency of 2.4 GHz.

a) What is the magnetic field strength? b) The electrons’ motion takes place inside a special tube called a magnetron. If the magnetron can accommodate electron orbits with a maximum diameter of 2.5 mm, what is the maximum electron energy?

Problem 3. An electron moves in a circular path perpendicular to a constant magnetic field of magnitude 1.00 mT. If the angular momentum of the electron about the center of the circle is 4.00(10-25 J(s, determine

a) the radius of the path, and b) the speed of the electron.

Problem 4. A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.45 T over a region of radius 1.2 m. What are

a) the cyclotron frequency, and b) the maximum speed acquired by the protons?

Problem 5. A cyclotron is designed to accelerate deuterium nuclei. (Deuterium has one proton and one neutron in its nucleus.)

a) If the cyclotron uses a 2.0 T magnetic field, at what frequency should the dee voltage be alternated? b) If the vacuum chamber has a diameter of 0.90 m, what is the maximum kinetic energy of the deuterons? c) If the magnitude of the potential difference between the dees is 1500 V, how many orbits do the deuterons complete before achieving the energy of part (b)?

Here's a picture of the cyclotron. You can also refer to the Encyclopedia Britannica reference in the reading assignment for Feb. 18.

[pic]…...

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