21.27 •• CP An electron is pro- Figure E21.27 jected with an initial speed vo = 1.60 X 10° m/s into the uniform field between two parallel plates (Fig. E21.27). Assume that the field between the plates is uniform and directed vertically down- ward and that the field outside the plates is zero. The electron enters the field at a point midway between the plates. (a) If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field. (b) Suppose that the electron in Fig. E21.27 is replaced by a proton with the same initial speed vo. Would the proton hit one of the plates? If not, what would be the magnitude and direction of its vertical displacement as it exits the region between the plates? (c) Compare the paths traveled by the elec- tron and the proton, and explain the differences. (d) Discuss whether it is reasonable to ignore the effects of gravity for each particle. K 2.00 cm vo 1.00 cm E

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 84P: Two large, parallel metal plates, each of area A, are oriented horizontally and separated by a...
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21.27 •• CP An electron is pro-
Figure E21.27
jected with an initial speed vo =
1.60 X 10° m/s into the uniform field
between two parallel plates (Fig. E21.27).
Assume that the field between the plates
is uniform and directed vertically down-
ward and that the field outside the plates
is zero. The electron enters the field at a point midway between the
plates. (a) If the electron just misses the upper plate as it emerges from
the field, find the magnitude of the electric field. (b) Suppose that the
electron in Fig. E21.27 is replaced by a proton with the same initial
speed vo. Would the proton hit one of the plates? If not, what would be
the magnitude and direction of its vertical displacement as it exits the
region between the plates? (c) Compare the paths traveled by the elec-
tron and the proton, and explain the differences. (d) Discuss whether it
is reasonable to ignore the effects of gravity for each particle.
K
2.00 cm
1.00 cm
Transcribed Image Text:21.27 •• CP An electron is pro- Figure E21.27 jected with an initial speed vo = 1.60 X 10° m/s into the uniform field between two parallel plates (Fig. E21.27). Assume that the field between the plates is uniform and directed vertically down- ward and that the field outside the plates is zero. The electron enters the field at a point midway between the plates. (a) If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field. (b) Suppose that the electron in Fig. E21.27 is replaced by a proton with the same initial speed vo. Would the proton hit one of the plates? If not, what would be the magnitude and direction of its vertical displacement as it exits the region between the plates? (c) Compare the paths traveled by the elec- tron and the proton, and explain the differences. (d) Discuss whether it is reasonable to ignore the effects of gravity for each particle. K 2.00 cm 1.00 cm
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