In a cyclotron, charged particles are accelerated before entering a magnetic fie
ID: 1653753 • Letter: I
Question
In a cyclotron, charged particles are accelerated before entering a magnetic field. This acceleration is achieved by sending the particles through two parallel plates (perpendicular to the plates through a hole in the plates). One plate is positively charged while the other plate is negatively charged. The plates are separated by 4.00 cm. (a) If a proton is to increase its speed, which plate (positive or negative) should it enter through first? (b) If the proton speed is 1.00 times 10 ^6 m/s when it enters the first plate, what must the voltage across the plates be for the proton to exit through the second plate with a speed of 3.50 times 10^6 m/s? (c) Assuming the electric field is constant between the plates, what is the magnitude and direction of this field? d) Repeat the above, but now for an electron.Explanation / Answer
(A) through positive plate.
(B) delta KE = q deltaV
(1.67x 10^-27) [ (3.50 x 10^6)^2 - (1 x 10^6)^2] / 2 = (1.6 x 10^-19) (V)
V = 5.87 x 10^4 Volt
(C) E = V / d
E = (5.87x 10^4) / 0.04
E = 1.57 x 10^6 V/m
from positive plate to netaive plate
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(d)
A) through negative plate.
(B) delta KE = q deltaV
(9.109 x 10^-31 ) [ (3.50 x 10^6)^2 - (1 x 10^6)^2] / 2 = (1.6 x 10^-19) (V)
V = 32 Volt
(C) E = V / d
E = (32) / 0.04
E = 800 V/m
from positive plate to netaive plate