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Problem 60 Medium Difficulty

The electrons in a particle beam each have a kinetic energy $K$ . Find the magnitude of the electric field that will stop these electrons in a distance $d$ , expressing the answer symbolically in terms of $K, e,$ and $d$ . Should the electric field point in the direction of the motion of the electron, or should it point in the opposite direction?

Answer

$\frac{K}{e d}$

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Video Transcript

have a strains like start our discussion. Supposed to have a beam of electrons particles Okay. And the kinetic energy off electron escape noticed all this guy electron Another force is applied in the two to electric feel No. Suppose that this stance is be okay So now we have to find out that relation between this electric field e in terms off the charge of the electron that is e on the kind of energy of the electoral and the distance D act which electron stops So basically, we have the forces a questo Kui Electrostatic forces Acosta Kui here Q Is the charge often electron So it will be Yeah No, The value off half in terms off kinetic energy in distance is Gabe i d. If you didn't get it for a rough estimate, I'm showing you for a rough estimate Only fork then is it caused to force into displacement? So what? That is inform off Kinetic energy level K A true Delta key center displacement. So from here, forceful comes Toby Delta K upon the initial kinetic energy Jiro So it would be K f minus k I by d Is it close to F if initial kind of dignity Jew. So it will be okay by D is gusto f Okay, so from here, the value off electrical comes or Toby K E d. Where d is the distance at which electric stops is the chart off. Electron and K is the kinetic energy off the electoral and e is the capital is the applied electric field. This is the relation Well, this is all for me for this. Really? I hope you will like the video. Thank you.

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Andy C.

University of Michigan - Ann Arbor

LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Farnaz M.

Other Schools

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp