Register to reply

Runge-kutta method for a force acting upon a charged particle

by superstrings
Tags: acting, charged, force, method, particle, rungekutta
Share this thread:
Nov14-12, 11:21 PM
P: 2
I have this project that involves the runge-kutta method, and I honestly have no clue what I am doing.

I never learned about this before, and I don't know much about ordinary differential equations. I am learning all of this next semester but it is required information for this project.

In my project, I have to model the movement of a test charge through an electric field and program it onto fortran 90.

I know that the Lorentz equation is F=q(E+vxB), and also F=ma (as a special case), and I can equate the two to find acceleration.

I have no idea how I would set this up as an ODE and then use the runge-kutta method. I need to do this so that I can plot a position vs. time graph of the test charge.

Can someone please help me out?
Phys.Org News Partner Science news on
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds
Nov15-12, 07:53 AM
Sci Advisor
PF Gold
P: 39,345
You have to use "Runge-Kutta" and you have no idea what that means? You need a lot more help than we can give in a few sentences!

Try these:
Nov30-12, 08:59 AM
HW Helper
P: 946
Acceleration is the second derivative of position (x) with respect to time.
The first derivative is velocity (v). It follows that acceleration is the derivative of velocity.

Thus, as a first order ODE, F = ma becomes
\frac {dv}{dt} = F(x,v)/m = (q/m)(E + v \times B) \\
\frac{dx}{dt} = v

At this point you can use Runge-Kutta.

Register to reply

Related Discussions
Runge-Kutta method Calculus & Beyond Homework 0
Runge kutta method Calculus & Beyond Homework 8
Runge Kutta method help Advanced Physics Homework 4
Runge kutta method Calculus & Beyond Homework 1
Runge Kutta Method Differential Equations 1