How Do Voltage and Magnetic Fields Affect Electron Force?

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SUMMARY

The discussion focuses on calculating the magnetic force acting on an electron accelerated through a potential difference of 2400V in a uniform magnetic field of 1.7 T. The magnetic force is determined using the formula F_{b}=q(v * B), where 'q' is the charge of the electron, 'v' is its velocity, and 'B' is the magnetic field strength. To find the velocity of the electron, one must first calculate its kinetic energy gained from the voltage, utilizing the relationship between kinetic energy and potential difference. The discussion also touches on a similar problem involving a singly charged positive ion accelerated through 250V in a 0.500 T magnetic field.

PREREQUISITES
  • Understanding of electric potential and kinetic energy conversion
  • Familiarity with the Lorentz force equation for charged particles
  • Knowledge of basic physics concepts related to magnetic fields
  • Ability to perform calculations involving mass and charge of subatomic particles
NEXT STEPS
  • Learn how to calculate kinetic energy from potential difference in charged particles
  • Study the Lorentz force and its applications in magnetic fields
  • Explore the relationship between velocity, mass, and radius of charged particles in magnetic fields
  • Investigate the properties of electrons and ions, including their charge and mass
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Physics students, educators, and professionals in fields related to electromagnetism and particle physics will benefit from this discussion.

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Homework Statement


An electron is accelerated through 2400V from rest and then enters a region where there is a uniform 1.7 T magnetic field. What are (a) the maximum and (b) the minimum magnitudes of the magnetic force acting on this electron?


Homework Equations


F_{b}=q(v * B)


The Attempt at a Solution


I'm unsure of where to start. How do you calculate the speed (v) if they only give you the voltage that the electron goes through? I have all of the other required information to plug in the equation but not the speed of the electron. Thanks.
 
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Here is another problem in which I cannot find the velocity of the particle:
A singly charged positive ion has a mass of 2.50 x 10^-26 kg. After being accelerated through a potential difference of 250V, the ion enters a magnetic field of 0.500 T, in a direction perpendicular to the field. Calculate the radius of the path of the ion in the field.

How do you find the velocity of the ion given the potential difference it travels through? I know how to solve the rest of the problem but I'm just stuck on the speed (v) of the particle.
 
You can get the velocity of the electron by calculating the kinetic energy it gains in the field. The rest mass of the electron is well known but I can't remember it.

Same for the second question but a different energy and mass involved.
 

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