Grade 12 Physics - Equations relating current and radius of a beam

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SUMMARY

The discussion centers on formulating equations that describe the relationships between current, radius, and voltage in electron beams. The user presented data for various voltages, currents, and diameters of electron beams, specifically needing to derive equations rather than simply guessing lines of best fit. The relevant equations include the magnetic force equation F_m = qvB, which is essential for analyzing the behavior of charged particles in magnetic fields. Ultimately, the user successfully determined the charge-to-mass ratio of an electron through their calculations.

PREREQUISITES
  • Understanding of basic physics concepts, particularly electromagnetism.
  • Familiarity with graphing techniques and data visualization.
  • Knowledge of the magnetic force equation F_m = qvB.
  • Ability to interpret and analyze experimental data related to electron beams.
NEXT STEPS
  • Research how to derive equations from experimental data in physics.
  • Learn about the charge-to-mass ratio of electrons and its significance.
  • Explore advanced graphing techniques for scientific data analysis.
  • Study the principles of electromagnetism in greater depth, focusing on electron behavior in magnetic fields.
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators and anyone involved in experimental physics or data analysis related to electron beams.

GR + QM
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Homework Statement


Okay, the assignment involves electron beams of various voltages, currents, and radii
Basically, the situation is, several of these beams were measured for the aforesaid values.
The values as follow are in the following order - Voltage (J/c) - Current in Helmholtz Coils (A) - Diameter of Electron Beam (cm)

1. 42.5 - 2.30 - 6.0
2. 44.0 - 1.90 - 7.5
3. 45.0 - 1.70 - 8.7
4. 46.0 - 1.40 - 10.3
5. 46.5 - 1.20 - 12.0
6. 47.0 - 1.15 - 12.5

With the following values, I'm told to graph the relationship between the current and the radius, and to graph the relationship between voltage and radius. I have done that, BUT, the problem is that I'm not supposed to guess a line of best fit, but I'm supposed to formulate equations showing what the line must look like. This is what gets me.

I'm quite lost because afterwards, I have to make a THIRD graph showing the straight line relationship between voltage and radius.

Homework Equations


All equations relevant to magnetic fields and electrons, such as
F_{}m= qvB

All equations here are allowed to be used http://education.Alberta.ca/media/3091847/01%20p30-3797_ft_databooklet-2011.pdf

The Attempt at a Solution



I've graphed the first two given graphs, I plotted the dots but now I cannot proceed because I can't figure out an equation relating the radius and current.Thank you in advance for all supportive and productive comments, the help is greatly appreciated. I am excelling at the moment, but this has stumped me and I've spent hours with no avail.
 
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Never mind! I got it all, the lab was supposed to end up with finding the charge : mass ratio of an electron, and I got it all.
 

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