Computer Simulation of Magnetic Field

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SUMMARY

The discussion focuses on simulating the magnetic field using a Helmholtz pair, specifically addressing the challenges faced by a student who lacks experience with MATLAB and is advised to use Excel instead. The student seeks guidance on implementing the Riemann sum for calculating the magnetic field at specific points using Excel. Key points include breaking down the magnetic field equation into manageable components and utilizing Excel cells for input values and calculations, including the use of partitions for accuracy in the simulation.

PREREQUISITES
  • Understanding of Riemann sums in mathematical calculations
  • Basic knowledge of magnetic field equations and components
  • Familiarity with Excel functions and formulas
  • Ability to interpret and manipulate mathematical equations
NEXT STEPS
  • Learn how to implement Riemann sums in Excel for numerical simulations
  • Explore tutorials on using Excel for scientific calculations
  • Study the principles of magnetic fields and Helmholtz coils
  • Investigate MATLAB basics for future simulations and comparisons
USEFUL FOR

Students in physics or engineering courses, educators teaching magnetic field concepts, and anyone interested in numerical simulations using Excel or MATLAB.

dcrisci
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Okay in class we performed a lab consisting of a Helmholtz pair and we need (to compare to experimental values) to model the magnetic field through a computer simulation. Most of the class is probably going to use MATLAB but I do not have it nor know how to use it. So in this case the teacher suggested I try using excel, which I also do not have much experience with. Like I can use excel to produce charts and graphs but when it comes to mathematical equations and what not I get sort of confused.

We are given the equation for the Riemann sum of the magnetic field at point r = (x,y,z). This equation is shown in the picture. We are supposed to calculate the magnetic field along the axis of the two rings and 20 cm above the axis of the two rings.

So my FIRST question(s) lays here:
Given the equation for the magnetic field in all directions (the equation shown is only only of three equations, x y and z components of the magnetic field however I am sure if I receive the help I need for one I can figure out the other two in the same manner) am I supposed to first put in all the values into cells. That meaning should I put the value for μ, I, a, θ, and Δθ into their own cells, and then have the Riemann sum containing the cells which are the values needed for the equation to be used properly in calculation?

Also should I break this sum into different components as well? Since the equation contains brackets such as [(acosθi)(z-z')] should each bracket (____) be its own cell so that the Riemann sum will be simplified by A1*A2?

Last one [for now] how would I get the sum to calculate the magnetic field for let's say n=50 partitions

Thanks for any help, I am sure once I get deeper into this lab report I will become more confused as well.
 

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for some reason my attachment was uploaded sideways? Even though my picture is normal on my computer.
 
Break your long formulas up into bite-size pieces. Set up a table starting with the basic input like x,y,x, and θ and then set up formulas to do some of the intermediate calculations.

There are all kinds of books which show you how to use Excel, and there are tutorials on the internet if you can't get to a library. In order to learn how to use Excel or MATLAB, you've got to start out with small problems and work into more complex ones.
 

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