This page is a refinement of the previous current carring wire page. The difference is that in this page, we have adjusted the path to take into account the effects of relativity theory. At the speeds and for the times we are these changes are relatively small.
wireCompPic1.PNG
wireCompPic1.PNG


wireCompPic2.PNG
wireCompPic2.PNG


wireCompPic4.PNG
wireCompPic4.PNG


wireCompPic3.PNG
wireCompPic3.PNG


wireCompPic5.PNG
wireCompPic5.PNG


wireCompPic6.PNG
wireCompPic6.PNG


wireCompPic7.PNG
wireCompPic7.PNG


wireCompPic8.PNG
wireCompPic8.PNG


When the speed is very close to the speed of light c=3*10^8 m/s which we used the difference is noticable, but that would be an unusual thing to investigate in the study of nono magnets.

In the code we replace the mass m by m/gamma, where gamma is the square root of 1 minus the square of the ratio of v, the speed of the particle, and c, the speed of light. As we expected, the change in path is small for small velocities. Even in the last case considered, the change involved by considering relativity is fairly small. Also it seems that the seems the time step size is less crucial here than it was in the case of the uniform field

The MatLab files for the GUI and the function(s) used are listed below:

external image plain.png wire_compTool2.m

external image octet-stream.png wire_compTool2.fig

external image plain.png wire_compf2.m
help on how to format text

external image c.gif

external image bBL.gif