Exercise
https://texercises.com/exercise/electrons-in-crossed-fields/
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
In an electron tube electrons are accelerated to a kinetic energy of EkO. They enter a vertical electric field between two parallel plates dO apart with a voltage VO across them. Calculate the strength of a magnetic field with direction perpicular to both the electric field and the velocity of the electrons such that the particles are not deflected.

Solution:
The velocity of an electron is given by sscEkin fracm v^ Longrightarrow v sqrtfrac sscEkinm sqrtfracsscEkinm c^ c sqrtfracsscEkinE_ c where E_EeO is the rest energy of an electron. The condition for an undeflected trajectory in crossed fields is v fracEB where EDelta V/d is the electric field between the plates. It follows for the magnetic field B fracEv fracDelta Vd v BF fracVdtimesncctimesfracEetimesEk B resultBP-
Meta Information
\(\LaTeX\)-Code
Exercise:
In an electron tube electrons are accelerated to a kinetic energy of EkO. They enter a vertical electric field between two parallel plates dO apart with a voltage VO across them. Calculate the strength of a magnetic field with direction perpicular to both the electric field and the velocity of the electrons such that the particles are not deflected.

Solution:
The velocity of an electron is given by sscEkin fracm v^ Longrightarrow v sqrtfrac sscEkinm sqrtfracsscEkinm c^ c sqrtfracsscEkinE_ c where E_EeO is the rest energy of an electron. The condition for an undeflected trajectory in crossed fields is v fracEB where EDelta V/d is the electric field between the plates. It follows for the magnetic field B fracEv fracDelta Vd v BF fracVdtimesncctimesfracEetimesEk B resultBP-
Contained in these collections:

Attributes & Decorations
Branches
Electrostatics, Magnetism
Tags
acceleration voltage, electron, electrostatic force, force equlibrium, magnetic force
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
File
Link