In an x-ray machine, electrons are accelerated from cathode (plate at negative potential) to anode (plate at positive potential) by a high potential difference between the plates, as shown in the figure below. If the potential difference between the plates is 20-kV, find the kinetic energy gained by each electron and its speed as they arrive to the anode. Take electron charge 1.6x1o 19 C and electron mass 9.11x1031 kg. Note: the electron's speed that you will get may be faster than/closer to the speed of light and it is not realistic because at high speed relativistic kinetic energy should be calculated differently. Relativistic kinetic energy reaches infinity when speed reaches the speed of light and hence speed can't be faster than the speed of light. This problem is for illustration purposes only. Relativistic effect need to be taken into account for realistic answer. DC - high voltage vacuum tungsten anode cathode electron beam X-ray beam (a) Kinetic energy of each electron, KE = Units Select an answer v (b) Speod of each electron LUnits Select an ancIWor Y
In an x-ray machine, electrons are accelerated from cathode (plate at negative potential) to anode (plate at positive potential) by a high potential difference between the plates, as shown in the figure below. If the potential difference between the plates is 20-kV, find the kinetic energy gained by each electron and its speed as they arrive to the anode. Take electron charge 1.6x1o 19 C and electron mass 9.11x1031 kg. Note: the electron's speed that you will get may be faster than/closer to the speed of light and it is not realistic because at high speed relativistic kinetic energy should be calculated differently. Relativistic kinetic energy reaches infinity when speed reaches the speed of light and hence speed can't be faster than the speed of light. This problem is for illustration purposes only. Relativistic effect need to be taken into account for realistic answer. DC - high voltage vacuum tungsten anode cathode electron beam X-ray beam (a) Kinetic energy of each electron, KE = Units Select an answer v (b) Speod of each electron LUnits Select an ancIWor Y
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 1
In an x-ray machine, electrons are accelerated from cathode (plate at negative potential) to anode (plate
at positive potential) by a high potential difference between the plates, as shown in the figure below. If
the potential difference between the plates is 20-kV, find the kinetic energy gained by each electron and
its speed as they arrive to the anode. Take electron charge 1.6x10 19 C and electron mass 9.11×10 31 kg.
Note: the electron's speed that you will get may be faster than/closer to the speed of light and it is not
realistic because at high speed relativistic kinetic energy should be calculated differently. Relativistic
kinetic energy reaches infinity when speed reaches the speed of light and hence speed can't be faster than
the speed of light. This problem is for illustration purposes only. Relativistic effect need to be taken into
account for realistic answer.
DC - high voltage
vacuum
tungsten anode
cathode
electron beam
X-ray beam
(a) Kinetic energy of each electron, KE =
Units Select an answer v
(b) Speed of each electron, v =
Units Select an answer
O Type here to search
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23
1%
8.
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