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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Chapter1: Units, Trigonometry. And Vectors
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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
Transcribed Image Text: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?
Transcribed Image Text: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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