Electron Oscillator Homework: The Attempt at a Solution

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SUMMARY

The discussion revolves around solving a homework problem related to electron oscillators, specifically addressing the challenges in determining time periods and forces involved. The participant identifies that the system does not exhibit simple harmonic motion (SHM) due to the net force being inversely proportional to the square of the distance. They express uncertainty in calculating the frequency and time taken for one complete oscillation, particularly due to the varying velocity of the electron.

PREREQUISITES
  • Understanding of electron dynamics and oscillation principles
  • Familiarity with concepts of force and motion in physics
  • Knowledge of simple harmonic motion (SHM) and its characteristics
  • Basic grasp of relativistic effects on particle speed
NEXT STEPS
  • Study the principles of non-linear oscillations in physics
  • Learn about the relationship between force, velocity, and time in oscillatory systems
  • Explore the concept of relativistic speeds and their implications on particle motion
  • Investigate methods for calculating time periods in non-SHM scenarios
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and oscillatory motion, as well as educators seeking to clarify complex concepts in electron dynamics.

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Homework Statement


attachment.php?attachmentid=38811&stc=1&d=1315917220.jpg


Homework Equations





The Attempt at a Solution


If it is SHE, I can use some equation to find T. But it seems it is not. Because the net force is invesely proportional to the square of distance, which is not SHM.

So what can I do?
 

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Homework Statement


attachment.php?attachmentid=38814&stc=1&d=1315919061.jpg


Homework Equations


The Attempt at a Solution


For part b. Can it do this?
Because the speed increased by sqrt2, so f also increased by this factor.

But I don't know if this assertion is correct.
attachment.php?attachmentid=38815&stc=1&d=1315919215.jpg
For part c, in order to find f, we need to know the time taken to finish 1 round.
To know the time, I need the velocity. But it seems velocity is varying, so how can I find the time?

For part d, the max speed of electron should be light speed. again, there will be various speed (especially the reverse of direction) how can I know the time?

Also, can you guide me to the last 2 part?
I found it is too difficult for me.
 

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