Calculating Magnetic Field Strength from Electron Path Curvature

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SUMMARY

The discussion focuses on calculating magnetic field strength from the curvature of electron paths in a magnetic field. The student presents data correlating accelerating potential difference, electron speed, and radius of curvature. Key equations mentioned include Fm=qvB and Fm=(mv²/R), which relate force, charge, velocity, and magnetic field strength. The concept of cyclotron motion is emphasized as essential for understanding the relationship between radius and magnetic field strength.

PREREQUISITES
  • Understanding of electromagnetism principles, specifically cyclotron motion.
  • Familiarity with the equations of motion for charged particles in magnetic fields.
  • Ability to interpret and plot data on graphs.
  • Knowledge of basic physics concepts such as force, charge, and velocity.
NEXT STEPS
  • Study the derivation and application of the cyclotron motion equations.
  • Learn how to calculate magnetic field strength using radius and speed data.
  • Explore tutorials on electromagnetism, focusing on charged particle dynamics.
  • Review graphing techniques for analyzing experimental data in physics.
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Students studying electromagnetism, physics educators, and anyone seeking to understand the relationship between electron motion and magnetic fields.

Mspike6
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I got this question on an Assigment, and ..man, am having really hard time with it

Here is how it start :

"A student used the apparatus shown below to measure the radius of the curvature of the path of electrons as they pass through a magnetic field that is perpendicular to their path. This experimental design has the voltage as the manipulated variable, the speed calculated from the voltage, and the radius as the responding variable.

Accelerating Potential Difference (V) |Speed (106 m/s)| Radius (10-2 m)
20.0 | 2.65 | 7.2
40.0 | 3.75 | 9.1
60.0 | 4.59 | 11.0
80.0 | 5.30 | 12.8
100.0 | 5.93 | 14.1
120.0 | 6.49 | 16.3


A. Plot the graph of radius as a function of speed, and construct a best-fit line.

Solution:
I Drew the Graph, and it came out to be Semi liner...ther is a slight curve towards the end

B. Using the slope or other appropriate averaging technique, determine the strength of the magnetic field.

Solution:
am not sure what he means by "Using the slope" but is the slop of that curve is the Strength of magnetic field (B) ?

does that mean that i can take the slope between any 2 points and get the Strength of the magntic field ?


C. Derive the equation that would allow you to calculate the speed of the electrons from the accelerating potential.

Soultion:
sorry but i didn;t even Understand the question



Am so sorry for the lack of my Solutions, but am really having troubles with this unit (Electromagntic)
if anyone know a tutorial or a website that explained this unit in easy and simple way, please include it in your answer... i need all the help i can get for this unit.

any help is really appreciated guys, thank you
 
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"Easy and simple" varies from person to person. If you're really having trouble with the entire subject of electromagnetism, I think you may need more personalized help than we can offer here.

As for this assignment specifically: whenever you have a charged particle that moves in a magnetic field, without any other forces, it will move in a circle. This is called cyclotron motion. What have you learned about cyclotron motion? (Go back and look it up in your textbook/notes/references if you need to)
 
I know Equations that may help us Calculate the magnetic strength
Fm=qvB
Fm = (mv2/R)
Fm= I L B

But I don’t know (and didn’t find anything in my notes) about how to get the Magnetic Field strength from a Radius Vs Time graph
 

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