Calculate Magnetic Force (B) for Electron Motion

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SUMMARY

The discussion focuses on calculating the magnetic force (B) acting on an electron with a mass of 9.11 x 10^-31 kg and a charge of -1.602 x 10^-19 C, moving at a speed of 5 x 10^6 m/s in a circular path of radius 2 cm. The relevant equations include the Lorentz force equation and the relationship between magnetic field strength, velocity, and radius. Additionally, the discussion addresses the period and frequency of the electron's circular motion, as well as the characteristics of the radiation emitted during this motion.

PREREQUISITES
  • Understanding of the Lorentz force equation
  • Knowledge of circular motion dynamics
  • Familiarity with electromagnetic radiation concepts
  • Basic proficiency in physics equations related to force and motion
NEXT STEPS
  • Calculate the magnetic field strength (B) using the formula B = (mv)/(qR)
  • Determine the period of circular motion using T = (2πR)/v
  • Find the frequency of the electron's motion using f = 1/T
  • Characterize the emitted radiation's wavelength using the relationship λ = c/f
USEFUL FOR

Students studying electromagnetism, physics enthusiasts, and educators looking to deepen their understanding of magnetic forces and electron motion.

jrollz316
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an electron m=9.11x10^-31 kg and q= -1.602x10^-19 C enters a region where th magnetic field is constant and perpendicular to the velocity of the electron. the speed of the electron is v=5x10&m/s. the electron moves in a circle of radius 2cm.

a. what is the magnitude B of the magnetic field?
b. what is the periods of the circular motion of the electron? what is the frequency of the motion?
c. the electron radiates as its moves in a circle and emits radiation. what i s the wavelength of this radiation and characterize this radiation? the frequency of the radiation is the same as the frequency of the circular motion of the electron

i would attempt the solution if i knew how to find B. I honestly don't know what to do with this.
 
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Hello jrollz316,

Welcome to Physics Forums.

Could you give us any equations that might be relevant? Also, let us know what work you have attempted and where you are getting stuck. We're not supposed to help unless you've shown that you've made a solid attempt. Things which may be useful in your reply: What sort of force would cause an object (with mass) to move in a circle? What is the equation for this? Do you know of any equations which relate force F, magnetic field B, and velocity v?
 

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