Electric and magnetic fields with electron

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SUMMARY

The discussion focuses on calculating the electric field (E) and magnetic field (B) acting on an electron moving through these fields. The net force on the electron is expressed as Fnet = q(E + v x B), where the velocity (v) and magnetic field (B) are perpendicular. The relationship derived is B = E/v, indicating that the magnetic field's magnitude is directly proportional to the electric field and inversely proportional to the electron's velocity. The participants express confusion regarding the application of kinetic energy (KE) formulas and voltage in determining the velocity needed for calculations.

PREREQUISITES
  • Understanding of vector calculus, particularly cross products
  • Familiarity with the Lorentz force equation: Fnet = q(E + v x B)
  • Knowledge of kinetic energy (KE) formulas and their application in physics
  • Basic principles of electric and magnetic fields in electromagnetism
NEXT STEPS
  • Study the Lorentz force law in detail to understand the interaction of electric and magnetic fields
  • Learn about the relationship between electric fields and voltage (E = V/d)
  • Explore the concept of kinetic energy and its relation to velocity in electromagnetic contexts
  • Investigate graphical representations of force vs. velocity for charged particles in fields
USEFUL FOR

Students in physics courses, particularly those studying electromagnetism, as well as educators looking for insights into teaching electric and magnetic field interactions with charged particles.

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Homework Statement


at time t1, an electron is sent along the positive direction of an x axis, through both an electric field E and a magnetic field B, with E directed parallel to the y axis. Figure 28-34 gives the y component Fnet, y of the net force of the electron due to the two fields, as a function of the electron's speed v at time t1. the x and z components of the net force are zero at t1. Assuming Bx=0, find the magnitude E and B in unit-vector notion.

the graph has the y-axis set as the net force in the y direction and the x-axis as the velocity of the electron. the y-axis goes from -2 through 2 and the x-axis goes from 0 to 100. the x-axis is zero at -2 on the y axis, and 100 at 2 on the y axis. the graph is a straight line through those two points.

Homework Equations


im not really sure

The Attempt at a Solution



to be honest i have no idea where to start on this one, any help would be appreciated.
 
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I think I'm in your class. I don't know if this is right but I think I have the idea.

Ok, because B is always perpendicular to v and E, B should be pointing in the page in the k direction. The formla you should use is Fnet=q(E+VxB) E,V,B are vectors. because V and B are parallel their cross product is vB so now Fnet=q(E+vB). Your vectors will be stright lines when Fnet=0 so 0=q(E+vB). Obviously the q goes away and you are left with B=E/v, where E is the only vector. From here it gets a little trick. You have to use the KE formula for velocity. This is as far as I have gotten because you have to use voltage in the KE formula and I can't find a relation in the problem to get velocity for anything. If you figure the rest out could you post it so I can finish? I couldn't find the problm in the soultions manual unless it is number 7. 7 doesn't have a part b and it doesn't tell you how to find E. It uses V/m to find E, and again I have to clue to to find V.
 

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