Some possibly useful numbers = 8.99 x 10° N m2/C2 €0 = 8.85 x 10-12C²/Nm2 4TEO %3D = 10-7Tm/A e = 1.6 x 1019 C me = 9.11 x 10-31kg mp = 1.67 x 10-27kg %3D leV = 1.6 x 10-19 J An electron (m 9 x 10-31 kg and q = -e = -1.6 x 10-19 C), traveling at a speed of 2.00 x 107 m/s, enters a region of uniform magnetic field of magnitude 1.0 mT, as shown in the figure at right. (a) What are the magnitude and direction of the mag- netic force experienced by the electron as it enters the magnetic field? B=0 (b) What is the radius of curvature of the path the elec- tron will follow while in the magnetic field? B=1.0 mT (c) A velocity filter that would allow this electron to pass straight through could be constructed by adding an electric field in the same region. What would the mag- nitude and direction of the electric field have to be?

Some possibly useful numbers = 8.99 x 10° N m2/C2 €0 = 8.85 x 10-12C²/Nm2 4TEO %3D = 10-7Tm/A e = 1.6 x 1019 C me = 9.11 x 10-31kg mp = 1.67 x 10-27kg %3D leV = 1.6 x 10-19 J An electron (m 9 x 10-31 kg and q = -e = -1.6 x 10-19 C), traveling at a speed of 2.00 x 107 m/s, enters a region of uniform magnetic field of magnitude 1.0 mT, as shown in the figure at right. (a) What are the magnitude and direction of the mag- netic force experienced by the electron as it enters the magnetic field? B=0 (b) What is the radius of curvature of the path the elec- tron will follow while in the magnetic field? B=1.0 mT (c) A velocity filter that would allow this electron to pass straight through could be constructed by adding an electric field in the same region. What would the mag- nitude and direction of the electric field have to be?

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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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

Some possibly useful numbers
= 8.99 x 10° N m2/C2 €0 = 8.85 x 10-12C²/Nm2
4TEO
%3D
= 10-7Tm/A
e = 1.6 x 1019 C
me = 9.11 x 10-31kg
mp = 1.67 x 10-27kg
%3D
leV = 1.6 x 10-19 J

An electron (m 9 x 10-31 kg and q = -e = -1.6 x
10-19 C), traveling at a speed of 2.00 x 107 m/s, enters a
region of uniform magnetic field of magnitude 1.0 mT, as
shown in the figure at right.
(a) What are the magnitude and direction of the mag-
netic force experienced by the electron as it enters
the magnetic field?
B=0
(b) What is the radius of curvature of the path the elec-
tron will follow while in the magnetic field?
B=1.0 mT
(c) A velocity filter that would allow this electron to pass
straight through could be constructed by adding an
electric field in the same region. What would the mag-
nitude and direction of the electric field have to be?

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