How Does Electron Movement Affect Magnetic Fields in a Hydrogen Atom?

[cryptoguy]

Homework Statement

In a model of a hydrogen atom, an electron circles the proton at a distance of 5.29E-11 m with a speed of 2.19E6 m/s. Compute the magnitude of the magnetic field that this motion produces at the location of the proton.

Homework Equations

dB = (u/4pi*r^2) I ds x r(roof) (Biot-Savart's law)

The Attempt at a Solution

I did I = e*v/(2*pi*r) where e is electron charge and v is the velocity. I got I = .00105 A. I plug in that into B = uI/(4*pi*r) = 1.99 T but the answer is 12.5 T. What am I doing wrong? Thank you.

 

[Shooting Star]

There's one more 'r' in the denominator. The final expression is

\frac{\mu_{0}}{4\pi} \frac{ev}{r^2}.