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

AI Thread Summary
The discussion revolves around a Grade 12 physics assignment involving electron beams with varying voltages, currents, and diameters. The user successfully graphed the relationships between current and radius, as well as voltage and radius, but struggled to formulate the equations for the lines of best fit required for the assignment. They referenced relevant equations related to magnetic fields and electrons, seeking assistance in deriving the necessary relationships. Ultimately, the user resolved their confusion and clarified that the lab's goal was to determine the charge-to-mass ratio of an electron. The conversation highlights the challenges of applying theoretical concepts to practical data analysis in physics.
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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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