Which image represents the direction of the electric field that completes a velocity-selector arrangement? SchematicChoice :

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Chapter5: Relativity
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Problem 5.3CYU: Check Your Understanding a. A particle travels at 1.90108m/sand lives 2.10108swhen at rest relative...
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Which image represents the direction of the electric field that completes a velocity-selector arrangement?
SchematicChoice :
(X)
Transcribed Image Text:Which image represents the direction of the electric field that completes a velocity-selector arrangement? SchematicChoice : (X)
Problem 7: The Lorentz force is the sum of the electric and magnetic forces acting upon a particle
with charge
9 and velocity
F = qË+qvxB
A velocity selector is a special arrangement of non-zero electric and magnetic fields that will allow
charged particles with a specified velocity to pass undeflected because the Lorentz force they
experience is zero. Charged particles with other velocities are turned aside. This is achieved as
follows:
• The three relevant vectors, v, Ē, and B are mutually perpendicular.
• The magnitudes of the vectors are chosen such that the magnitudes of the electric and magnetic
forces have equal magnitudes, or, equivalently, E = vB.
• The directions of the electric and magnetic fields are chosen such that the electric and magnetic
forces are oppositely directed.
The diagram to the right represents the directions of a uniform magnetic field and the velocity vector.
The charge of the particle is explicitly indicated as
+q> 0 or
-9 <0.
O
+q
O
15
O
Transcribed Image Text:Problem 7: The Lorentz force is the sum of the electric and magnetic forces acting upon a particle with charge 9 and velocity F = qË+qvxB A velocity selector is a special arrangement of non-zero electric and magnetic fields that will allow charged particles with a specified velocity to pass undeflected because the Lorentz force they experience is zero. Charged particles with other velocities are turned aside. This is achieved as follows: • The three relevant vectors, v, Ē, and B are mutually perpendicular. • The magnitudes of the vectors are chosen such that the magnitudes of the electric and magnetic forces have equal magnitudes, or, equivalently, E = vB. • The directions of the electric and magnetic fields are chosen such that the electric and magnetic forces are oppositely directed. The diagram to the right represents the directions of a uniform magnetic field and the velocity vector. The charge of the particle is explicitly indicated as +q> 0 or -9 <0. O +q O 15 O
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