• A proton with mass m = 1.67x10-27 kg and an initial velocity i, of magnitude 2x104 m/s in the positive x direction enters the region between two charged parallel plates through a small hole as seen in the figure. The magnitude of the electric fiend Ē between the plates is 5x104 N/C and in the negative x direction. A second hole is placed on the second plate opposite to the first one. (a) What should the maximum separation L between the plates be to allow the proton leave the plates from the second hole? (b)How long will it take the proton to do this? (c) If the separation were not L found in (a) but L/2 for the same proton speed, what would be the final velocity of the proton as it leaves the plates? (Ignore the gravity, assume that the holes do not alter the electric field. e = 1.6x10-19 C.) m

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter26: Electric Potential
Section: Chapter Questions
Problem 48PQ: A particle with charge 1.60 1019 C enters midway between two charged plates, one positive and the...
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· A proton with mass m = 1.67x10-27 kg and
an initial velocity i, of magnitude 2x104 m/s in the positive x
direction enters the region between two charged parallel plates
through a small hole as seen in the figure. The magnitude of the
electric fiend E between the plates is 5x104 N/C and in the
negative x direction. A second hole is placed on the second plate
opposite to the first one.
(a) What should the maximum separation L between the plates
be to allow the proton leave the plates from the second hole?
(b)How long will it take the proton to do this?
(c) If the separation were not L found in (a) but L/2 for the same
proton speed, what would be the final velocity of the proton as it
leaves the plates?
(Ignore the gravity, assume that the holes do not alter the electric
field. e = 1.6x10-19 C.)
m
Plate
Transcribed Image Text:· A proton with mass m = 1.67x10-27 kg and an initial velocity i, of magnitude 2x104 m/s in the positive x direction enters the region between two charged parallel plates through a small hole as seen in the figure. The magnitude of the electric fiend E between the plates is 5x104 N/C and in the negative x direction. A second hole is placed on the second plate opposite to the first one. (a) What should the maximum separation L between the plates be to allow the proton leave the plates from the second hole? (b)How long will it take the proton to do this? (c) If the separation were not L found in (a) but L/2 for the same proton speed, what would be the final velocity of the proton as it leaves the plates? (Ignore the gravity, assume that the holes do not alter the electric field. e = 1.6x10-19 C.) m Plate
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