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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 +
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
(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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