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Exercise:
In the classroom demonstration for crossed fields electrons travel through an electric field with strength EO and a magnetic field with strength BO. The fields are perpicular to each other and to the trajectory of the electrons. Electrons with an acceleration voltage of VO follow an approximately straight trajectory. abcliste abc Based on the strengths of the electric and magnetic field what is the expected velocity of electrons following a straight path? abc Calculate the velocity of the electrons in the demonstration. What are possible reasons for the deviation from the predicted value? abcliste

Solution:
abcliste abc Electrons are not deflected if the condition for the force equilibrium in the crossed fields is fulfilled: v_ vaF fracEB va resultvacP abc The acceleration voltage leads to an increase in kinetic energy: e Delta V frac m v^ It follows for the velocity of the accelerated electrons v vbF sqrtfractimes nce times Vncme vb resultvbcP This is considerably faster than the predicted value. The main reason is that the magnetic field in the demonstration experiment is not really uniform and also exts beyond the electric field i.e. electrons travel through the magnetic field before and after the region where they experience both the electric and magnetic force. abcliste
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Exercise:
In the classroom demonstration for crossed fields electrons travel through an electric field with strength EO and a magnetic field with strength BO. The fields are perpicular to each other and to the trajectory of the electrons. Electrons with an acceleration voltage of VO follow an approximately straight trajectory. abcliste abc Based on the strengths of the electric and magnetic field what is the expected velocity of electrons following a straight path? abc Calculate the velocity of the electrons in the demonstration. What are possible reasons for the deviation from the predicted value? abcliste

Solution:
abcliste abc Electrons are not deflected if the condition for the force equilibrium in the crossed fields is fulfilled: v_ vaF fracEB va resultvacP abc The acceleration voltage leads to an increase in kinetic energy: e Delta V frac m v^ It follows for the velocity of the accelerated electrons v vbF sqrtfractimes nce times Vncme vb resultvbcP This is considerably faster than the predicted value. The main reason is that the magnetic field in the demonstration experiment is not really uniform and also exts beyond the electric field i.e. electrons travel through the magnetic field before and after the region where they experience both the electric and magnetic force. abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
electric field, force equilibrium, magnetic field
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration