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## Main Question or Discussion Point

I am trying to understand magnetism and its relation to electricity:

Suppose there are two electrons travelling side by side in deep space at 1 cm distance at .99 c

In this article http://academic.mu.edu/phys/matthysd/web004/l0220.htm it is said that the ratio $F_B/F_E$ is $v^2/c^2$ for v << c. According to that formula the magnetic pull sould be .9801 times the electrostatic repulsion. Can you tell me

- 1) what is the actual value (applying relativity, since the speed is close to c) ? Is there a big difference? Intuitively it shouldn't be smaller, yet it can't possibly get greater than 1, can it?

- 2) what happens to the trajectory of the particles due to the influence of the mutual magnetic field, does if deflect from the straight line?

Suppose there are two electrons travelling side by side in deep space at 1 cm distance at .99 c

In this article http://academic.mu.edu/phys/matthysd/web004/l0220.htm it is said that the ratio $F_B/F_E$ is $v^2/c^2$ for v << c. According to that formula the magnetic pull sould be .9801 times the electrostatic repulsion. Can you tell me

- 1) what is the actual value (applying relativity, since the speed is close to c) ? Is there a big difference? Intuitively it shouldn't be smaller, yet it can't possibly get greater than 1, can it?

- 2) what happens to the trajectory of the particles due to the influence of the mutual magnetic field, does if deflect from the straight line?