Dealing with magnetic force into the page?

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SUMMARY

The discussion focuses on the behavior of a charged particle moving in a magnetic field directed downwards, resulting in a magnetic force directed into the page. The participant expresses confusion regarding the visualization of centripetal force in this scenario, particularly in contrast to standard problems where the magnetic field is oriented into the page. The conclusion drawn is that the particle will exhibit helical motion due to its velocity not being perpendicular to the magnetic field. The participant also presents equations to determine the charge-to-mass ratio of the particle, confirming the correctness of their approach.

PREREQUISITES
  • Understanding of magnetic fields and forces, specifically in the context of charged particles.
  • Knowledge of circular motion and centripetal force principles.
  • Familiarity with helical motion dynamics in physics.
  • Ability to manipulate equations involving mass, velocity, and charge.
NEXT STEPS
  • Study the principles of charged particle motion in magnetic fields, focusing on uniform magnetic fields.
  • Learn about the derivation and application of the Lorentz force law in various configurations.
  • Explore visualizations of helical motion in magnetic fields using simulation tools like PhET Interactive Simulations.
  • Investigate the relationship between charge, mass, and velocity in electromagnetic contexts through practical examples.
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism, as well as researchers and professionals working with charged particle dynamics in magnetic fields.

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Homework Statement
A charged particle beam is accelerated through a potential difference of
211 V, shot horizontally into a region where there is a constant magnetic
field of magnitude ##2.45*10^{3}## T that points straight down. The charged
particles then move in a circular path of radius 2.00 cm. Determine the
charge to mass ratio of the charged particles.
Relevant Equations
-
Since the magnetic field is pointing down, I can derive that the magnetic force is into the page. With this, I can't really imagine how the particle can move in a circular motion as I cannot visualise how the centripetal force will look like when the force is into the page (instead of usual problems where the field is into the page and the charge simply deflect up/downwards).

Any visualization/guidance will be appreciated. Thanks
 
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The circular motion of a charged particle in a uniform B field is a standard topic. For example, you can read this short discussion and then ask questions here about anything that is not clear.
 
TSny said:
The circular motion of a charged particle in a uniform B field is a standard topic. For example, you can read this short discussion and then ask questions here about anything that is not clear.
In this case here, I can assume that the particle is moving in a helical motion since the velocity is not perpendicular to the magnetic field (it is pointing downwards instead of in the page).
In this case, can I still use:
1580360355875.png
?
If so, I can also determine that:
1580360461017.png

Hence, I will have:

##\begin{aligned}\dfrac {1}{2}mv^{2}=211q\\ 0.02=\dfrac {mv}{2.45\times 10^{-3}\left( q\right) }\end{aligned} ####\begin{aligned}\dfrac {q}{m}=\dfrac {1}{422}v^{2}\\ \dfrac {q}{m}=\dfrac {v}{4.9\times 10^{-5}}\end{aligned} ##
Will this be the correct approach?
 

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