b) Electrons in a narrow beam travelling at a steady speed of 4.19 x 107 m/s are directed into the space between two oppositely charged parallel plates which are 419 mm long and 60 mm apart. The plate at the top carries a negative charge and the plate at the bottom carries an equal positive charge. The potential difference between the plates is 250 V. The initial direction of the beam is parallel to the plates and midway between them. Draw a diagram showing the direction of the field lines between the plates. Include a description and sketch the path of the electrons as they travel through the field. i) Calculate the force on each electron between the plates. ii) Calculate the time each electron spends between the plates. Derive a formula relating the vertical distance travelled by the electrons with the charge of the electron and the applied voltage. Calculate the speed and direction of the electrons on leaving the space between the plates.

University Physics Volume 2
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Chapter7: Electric Potential
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Problem 77P: An election enters a region between two large parallel plates made of aluminum separated by a...
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b) Electrons in a narrow beam travelling at a steady speed of 4.19 x 107 m/s are
directed into the space between two oppositely charged parallel plates which are 419
mm long and 60 mm apart. The plate at the top carries a negative charge and the plate
at the bottom carries an equal positive charge. The potential difference between the
plates is 250 V. The initial direction of the beam is parallel to the plates and midway
between them.
Draw a diagram showing the direction of the field lines between the plates. Include
a description and sketch the path of the electrons as they travel through the field.
i) Calculate the force on each electron between the plates.
ii) Calculate the time each electron spends between the plates.
Derive a formula relating the vertical distance travelled by the electrons with the
charge of the electron and the applied voltage. Calculate the speed and direction of the
electrons on leaving the space between the plates.
Transcribed Image Text:b) Electrons in a narrow beam travelling at a steady speed of 4.19 x 107 m/s are directed into the space between two oppositely charged parallel plates which are 419 mm long and 60 mm apart. The plate at the top carries a negative charge and the plate at the bottom carries an equal positive charge. The potential difference between the plates is 250 V. The initial direction of the beam is parallel to the plates and midway between them. Draw a diagram showing the direction of the field lines between the plates. Include a description and sketch the path of the electrons as they travel through the field. i) Calculate the force on each electron between the plates. ii) Calculate the time each electron spends between the plates. Derive a formula relating the vertical distance travelled by the electrons with the charge of the electron and the applied voltage. Calculate the speed and direction of the electrons on leaving the space between the plates.
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