18. An electron accelerates from rest through an electric field and into a magnetic field as shown in the diagram below. The plates have a potential difference of 85 V and are separated by 8.5 cm. The magnetic field has a magnitude of 0.75 T directed out of the page. +ve -ve electron a) What is the strength of the electric field between the plates? (1000 N/C) b) Show that the initial speed of the electron upon entering the magnetic field is 5.5 x 10ʻm/s. c) Calculate the magnitude and direction of the magnetic force on the electron. (6.6 x 10-13 N [toward the top of the page]) d) Calculate the radius of the electron's circular path. (4.1 x 10-5 m) e) If the voltage was reversed in order to accelerate a proton through the electric field and into the magnetic

University Physics Volume 2
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ISBN:9781938168161
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 43P: A 25-cm nod moves at 5.0 m/s in a plane perpendicular to a magnetic field of strength 0.25 T. The...
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18. An electron accelerates from rest through an electric field and into a magnetic field as shown in the diagram
below. The plates have a potential difference of 85 V and are separated by 8.5 cm. The magnetic field has a
magnitude of 0.75 T directed out of the page.
+ve
-ve
electron
a) What is the strength of the electric field between the plates? (1000 N/C)
b) Show that the initial speed of the electron upon entering the magnetic field is 5.5 x 10ʻm/s.
c) Calculate the magnitude and direction of the magnetic force on the electron.
(6.6 x 10-13 N [toward the top of the page])
d) Calculate the radius of the electron's circular path. (4.1 x 10-5 m)
e) If the voltage was reversed in order to accelerate a proton through the electric field and into the magnetic
field, the proton would not follow the same path as the electron. State 2 differences to the proton's path as
compared to the electron's path. (travel downward at less speed)
Transcribed Image Text:18. An electron accelerates from rest through an electric field and into a magnetic field as shown in the diagram below. The plates have a potential difference of 85 V and are separated by 8.5 cm. The magnetic field has a magnitude of 0.75 T directed out of the page. +ve -ve electron a) What is the strength of the electric field between the plates? (1000 N/C) b) Show that the initial speed of the electron upon entering the magnetic field is 5.5 x 10ʻm/s. c) Calculate the magnitude and direction of the magnetic force on the electron. (6.6 x 10-13 N [toward the top of the page]) d) Calculate the radius of the electron's circular path. (4.1 x 10-5 m) e) If the voltage was reversed in order to accelerate a proton through the electric field and into the magnetic field, the proton would not follow the same path as the electron. State 2 differences to the proton's path as compared to the electron's path. (travel downward at less speed)
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