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Exercise:
In old tv sets the image was produced by an electron beam hitting the screen from the back. In order to move the beam across the screen the beam was deflected using a variable magnetic field. In a typical tv set the electrons have a speed of vcO. They move perpicularly through a nearly homogeneous magnetic field of strength BO over a distance of dO. abcliste abc Calculate the deflection angle. abc How long does it take to deflect the electron beam by this angle? abcliste

Solution:
abcliste abc The radius of the circular path is given by r fracm vq B The deflection angle is given by see figure below sinalpha fracdr fracd q Bm v includegraphicswidth.textwidth#image_path:deflection-of-electron-beam# It follows for the deflection angle alpha alradF arcsinleftfracdtimes qtimes Bmtimes vright alrad approx resultalP abc The time for a full circle is given by the cyclotron period T fracpi mq B For the segment of the circle with angle alpha the time can be calculated as Delta t fracalphapi T fracalphapi fracpi mq B tF fracalradtimes mq B t approx resulttP- abcliste
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Exercise:
In old tv sets the image was produced by an electron beam hitting the screen from the back. In order to move the beam across the screen the beam was deflected using a variable magnetic field. In a typical tv set the electrons have a speed of vcO. They move perpicularly through a nearly homogeneous magnetic field of strength BO over a distance of dO. abcliste abc Calculate the deflection angle. abc How long does it take to deflect the electron beam by this angle? abcliste

Solution:
abcliste abc The radius of the circular path is given by r fracm vq B The deflection angle is given by see figure below sinalpha fracdr fracd q Bm v includegraphicswidth.textwidth#image_path:deflection-of-electron-beam# It follows for the deflection angle alpha alradF arcsinleftfracdtimes qtimes Bmtimes vright alrad approx resultalP abc The time for a full circle is given by the cyclotron period T fracpi mq B For the segment of the circle with angle alpha the time can be calculated as Delta t fracalphapi T fracalphapi fracpi mq B tF fracalradtimes mq B t approx resulttP- abcliste
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Attributes & Decorations
Branches
Magnetism
Tags
electron, magnetic force
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration