Calculating Angular Speed of an Alpha-Particle in a Magnetic Field

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SUMMARY

The discussion focuses on calculating the angular speed (ω) of an alpha-particle moving in a magnetic field of 0.0195 T. The alpha-particle, consisting of two protons and two neutrons, has a mass of 6.64x10^-27 kg. The formula derived for angular speed is ω = qB/m, where q is the total charge of the alpha-particle, calculated as 2 * 1.602 * 10^-19 C. This establishes a clear method for determining the angular speed based on the given parameters.

PREREQUISITES
  • Understanding of classical mechanics, specifically circular motion
  • Familiarity with electromagnetic theory, particularly the Lorentz force
  • Knowledge of charge and mass of subatomic particles, specifically protons and neutrons
  • Basic algebra for manipulating equations
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  • Study the derivation of the Lorentz force in electromagnetic fields
  • Learn about the motion of charged particles in magnetic fields
  • Explore the concept of potential difference and its effects on particle acceleration
  • Investigate the properties of alpha-particles and their applications in physics
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Students and professionals in physics, particularly those focusing on electromagnetism and particle physics, will benefit from this discussion.

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An alpha-particle is the nucleus of a helium atom; the orbiting electrons are missing. The alpha-particle contains two protons and two neutrons, and has a mass of 6.64x10^-27 kg. Suppose an alpha-particle is accelerated from rest through a potential difference and then enters a region where its velocity is perpendicular to a 0.0195 T magnetic field. With what angular speed w does the alpha-particle move on its circular path?

B = 0.0195 T
m = 6.64x10^-27 kg
w = ? rad/s

I did this:
v = rw
w = v/r
r = mv/qB
qB/m = v/r
w = qB/m

how ever I am stuck on what is q?
 
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your work looks right to me.

neutrons have 0 charge. protons have [tex]1.602*10^{-19}C[/tex] charge. so for your problem q is [tex]2*1.602*10^{-19}C[/tex]
 
thank you! :)
 

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