midtermtest1_page 11

midtermtest1_page 11 - 11. Shown in the figure below is a...

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Unformatted text preview: 11. Shown in the figure below is a mass analyzer system. This system operates by accelerating a charged particle across the gap between two capacitor plates, giving it energy. After it has been accelerated, it enters a magnetic field and is bent in a circular trajectory until it reaches the exit. You + + + + + + + + + − − − − B=? E = 25 MeV − − − − 1.2 m R= are to design the mass anayzer system so that 12 C ions with charge, q = +1.6 × 10−19 , and mass m = 12 ∗ 1.67 × 10−27 kg = 2.00 × 10−26 kg are accelerated to an energy of 25 MeV. Answer all the following: (a) What should be the voltage difference across the capacitor? (b) If the separation between the plates is 1 meter, what would be the electric field between the plates? (c) If the area of each plate is 50m2 , what is the capacitance and charge of this device? (d) What will be the velocity of the ions after they are accelerated by the capacitor? (e) What magnetic field should be used so that the ions travel in a circular path with radius, R = 1.2meters. (f) How would this differ if the ions were instead few sentences, not a calculation. 14 6C ions? Answer in a (g) What would be the usefulness of this device? (h) What electric field would you put inside the magnet so as to make the ions travel in a straight line instead of a curved path? 11 ...
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This note was uploaded on 09/27/2011 for the course PHY 132 taught by Professor Rijssenbeek during the Spring '04 term at SUNY Stony Brook.

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