How do electric and magnetic fields affect the motion of an electron?

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SUMMARY

The discussion centers on the motion of an electron subjected to both electric and magnetic fields. An electron with an initial velocity of \( v_0 = 2 \times 10^6 \, \text{m/s} \) is injected into a region with an electric field \( E = 1500 \, \text{V/m} \) and a magnetic field \( B = -0.2 \, \text{T} \). The participant correctly identifies that the motion will be circular and uses the formula \( R = \frac{m \cdot v}{q \cdot B} \) to compute the radius of the circular path. However, they must also consider the influence of the electric field on the electron's velocity and apply the Lorentz force in conjunction with Newton's second law to accurately determine acceleration.

PREREQUISITES
  • Understanding of Lorentz force and its components
  • Familiarity with Newton's second law of motion
  • Knowledge of circular motion and radius calculation in magnetic fields
  • Basic principles of electric fields and their effects on charged particles
NEXT STEPS
  • Study the application of the Lorentz force in charged particle motion
  • Learn how to derive the equations of motion for particles in combined electric and magnetic fields
  • Explore the effects of varying electric fields on the velocity of charged particles
  • Investigate the relationship between acceleration and radius in circular motion under electromagnetic forces
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Physics students, electrical engineers, and anyone interested in understanding the dynamics of charged particles in electromagnetic fields.

brad sue
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Hi, I have this problem and I need some explanation and help to solve it:

An electron is injected at t=0sec with a velocity of vo =(2*10^6 m/s) i into a region with parallel electric field E=(1500V/m)j and B=(-.2T)j,respectively.
Calculate the subsequent motion.

What I did is that I know that the motion will be a circular one.
then I computed R =m*v/(q*B)
Can I compute R this way since we have electric and magnetic fields together??

Also How can I find the acceleration? when I do V2/R I don't get the right answer at the back of the textbook.

Thank you
B
 
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Since there's an electric field, the magnitude of it's velocity increases, so the radii will chage. You can plug the Lorentz force into Newton's 2nd law.
 

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