3. Two plates are set up with a potential difference V between them. A small sphere of mass m and charge –e is placed at the left-hand plate, which has a negative charge, and is allowed to accelerate across the space between the plates and pass through a small opening. After passing through the small opening, the sphere enters a region in which there is a uniform magnetic field of magnitude B directed into the page, as shown above. Ignore gravitational effects. Express all algebraic answers in terms of V, m, e, B, and fundamental constants, as appropriate. (a) i. What is the initial direction of the force on the sphere as it enters the magnetic field? Out of the page Into the page Toward the top of the page Toward the bottom of the page ii. Describe the path taken by the sphere after it enters the magnetic field. (b) Derive an expression for the speed of the sphere as it passes through the small opening.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Subpart A-C

AV
В
mass = m
charge = e-
3. Two plates are set up with a potential difference V between them. A small sphere of mass m and charge -e
is placed at the left-hand plate, which has a negative charge, and is allowed to accelerate across the space
between the plates and pass through a small opening. After passing through the small opening, the sphere
enters a region in which there is a uniform magnetic field of magnitude B directed into the page, as shown
above. Ignore gravitational effects. Express all algebraic answers in terms of V, m, e, B, and fundamental
constants, as appropriate.
(a)
i. What is the initial direction of the force on the sphere as it enters the magnetic field?
Into the page
Out of the page
Toward the top of the page
Toward the bottom of the page
ii. Describe the path taken by the sphere after it enters the magnetic field.
(b) Derive an expression for the speed of the sphere as it passes through the small opening.
(c) Derive an expression for the radius of the path taken by the sphere as it moves through the magnetic field.
X
Transcribed Image Text:AV В mass = m charge = e- 3. Two plates are set up with a potential difference V between them. A small sphere of mass m and charge -e is placed at the left-hand plate, which has a negative charge, and is allowed to accelerate across the space between the plates and pass through a small opening. After passing through the small opening, the sphere enters a region in which there is a uniform magnetic field of magnitude B directed into the page, as shown above. Ignore gravitational effects. Express all algebraic answers in terms of V, m, e, B, and fundamental constants, as appropriate. (a) i. What is the initial direction of the force on the sphere as it enters the magnetic field? Into the page Out of the page Toward the top of the page Toward the bottom of the page ii. Describe the path taken by the sphere after it enters the magnetic field. (b) Derive an expression for the speed of the sphere as it passes through the small opening. (c) Derive an expression for the radius of the path taken by the sphere as it moves through the magnetic field. X
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