An electron is projected with an initial speed v0 = 2.00 x 10 6 m/s into the uniform field between two parallel plates (Fig. E.21.29). Assume that the field between the plates is uniform and directed vertically downward 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. E21.29 is replaced by a proton with the same initial speed v0 . 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 electron and the proton, and explain its differences. D). Discuss whether it is reasonable to ignore the effects of gravity for each particle. 21.29 CP An clectron is pro-jected with an initial speed to=2.00 x 10° m/s into the uniformfield between two parallel plates(Fig. E21.29). Assume that the fieldbetween the plates is uniform anddirected vertically downward andthat the field outside the plates is zero. The cloctron enters the fieldat a point midway between the plates. (a) If the electron just missesthe upper plate as it emerges from the field, find the magnitudeof the electric field. (b) Suppose that the clectronis replaced by a proton with the same initial speed to. Would theproton hit one of the plates? If not, what would be the magnitudeand direction of its vertical displacement as it exits the regionbetween the plates? (c) Compare the paths traveled by the clectronand the proton, and explain the differences. (d) Discuss whether itis reasonable to ignore the effects of gravity for cach particle.Figure E21.29K-2.00 cm-Do1.00 cmFig. E21.2921.29. An electron is projected with an initial speed vo = 2.00 x 10° m/s into the uniform field betweentwo parallel plates (Fig. E.21.29). Assume that the field between the plates is uniform and directedvertically downward and that the field outside the plates is zero. The electron enters the field at a pointmidway between the plates.A). If the electron just misses the upper plate as it emerges from the field, find the magnitude of theelectric fieldB). Suppose that the electron in Fig. E21.29 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 itsvertical displacement as it exits the region between the plates?C). Compare the paths traveled by the electron and the proton, and explain its differences.D). Discuss whether it is reasonable to ignore the effects of gravity for each particle.

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College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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An electron is projected with an initial speed v0 = 2.00 x 10 6 m/s into the uniform field between two parallel plates (Fig. E.21.29). Assume that the field between the plates is uniform and directed vertically downward 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. E21.29 is replaced by a proton with the same initial speed v0 . 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 electron and the proton, and explain its differences. D). Discuss whether it is reasonable to ignore the effects of gravity for each particle.

21.29 CP An clectron is pro-
jected with an initial speed to=
2.00 x 10° m/s into the uniform
field between two parallel plates
(Fig. E21.29). Assume that the field
between the plates is uniform and
directed vertically downward and
that the field outside the plates is zero. The cloctron 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 clectron
is replaced by a proton with the same initial speed to. 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 clectron
and the proton, and explain the differences. (d) Discuss whether it
is reasonable to ignore the effects of gravity for cach particle.
Figure E21.29
K-2.00 cm-
Do
1.00 cm
Fig. E21.29
21.29. An electron is projected with an initial speed vo = 2.00 x 10° m/s into the uniform field between
two parallel plates (Fig. E.21.29). Assume that the field between the plates is uniform and directed
vertically downward 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. E21.29 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 electron and the proton, and explain its differences.
D). Discuss whether it is reasonable to ignore the effects of gravity for each particle.

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