Answer to Question #212115 in Electricity and Magnetism for Austin

Question

In the ground state of the hydrogen atom the electron describe a circular orbit of radius 5.3×10^-11m at a speed 2.2×10^6ms^-1(a) what is the average electric current resulting from the electron movement (b) calculate the value of B established by the electron at the nuclues

Answer 1

a)

$T=\frac{2\pi r}{v},$

$I=\frac eT=\frac{ev}{2\pi r}=1.06~mA,$

b)

$\frac{mv^2}r=evB,$

$B=\frac{mv}{er}=236~kT.$