VPython Modelling of Electric and Magnetic Forces: Difference between revisions
| Line 27: | Line 27: | ||
We are going to simulate the motion of a charged particle immersed in a magnetic | We are going to simulate the motion of a charged particle immersed in a magnetic | ||
field. | field. | ||
'''Step 1: Frame the problem in fundamental ideas or equations''' | '''Step 1: Frame the problem in fundamental ideas or equations''' | ||
This is where you write down anything the problem gives you. | This is where you write down anything the problem gives you. | ||
Equations: Constants: | Equations: Constants: | ||
F = q·v x B Charge of the particle(q) | F = q·v x B Charge of the particle(q) | ||
Revision as of 21:39, 9 April 2017
VPython Modeling of Electric and Magnetic Forces Claimed By: Griffin Bonnett Spring 2017 claimed by Fall 2016: Sam Webster Spring 2016: Neil Acharya (nacharya)
The Main Idea
Vpython is a programming language designed to model physics properties in a 3D simulation. This section we will be focused on modeling the electric and magnetic forces in Vpython.
A Mathematical Model
When you start a new Vpython program you should first write out all the equations and constants you might need.You should also define any variables you use in their appropriate forms such as vectors, arrows, or spheres. Then, you should get a rough outline of what values need to be calculated and how the constants and equations can be best applied for the calculations.
A Computational Model
This is when we begin to program using Vpython. A finished and working program will give us the ability to visualize the physics of magnetic and electric forces.
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Magnetic Force Model
For Magnetic forces: We are going to simulate the motion of a charged particle immersed in a magnetic field.
Step 1: Frame the problem in fundamental ideas or equations This is where you write down anything the problem gives you.
Equations: Constants:
F = q·v x B Charge of the particle(q)
dp/dt = Fnet Velocity vector of the particle(v)
p = ma Magnetic field vector(B)
v= p/m Mass of particle (m)
Due to our understanding of the velocity being influenced by the magnetic force, we can craft a general outline for the calculations. We can also find expected values and predict the behavior of the model. We will need to calculate the magnetic force and use it to update its position and velocity.
Step2: Conceptualize the problem
We want to show the particle moving through space relative to time. Since computer programs only comprehend discreet values, we will want to move through time in discreet increments. We do this by using a while loop because while t is less than a certain value the loop will continue to be updated. We can put the limit of t to anytime so long as the rate is high enough to run the program reasonably fast and t is large enough to run the full length simulation. We will set the initial time to t = 0 and add a constant delta t to each iteration in the while loop. Each new iteration of time will allow us to update the position and velocity vector. To update these values, conservation of momentum is used to relate the magnetic and the position and velocity.
Electrical Force
Connectedness
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History
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See also
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