Answer to Question #302186 in Electricity and Magnetism for Pankaj

Question

In the Bohr model of hydrogen atom, the electron follows a circular orbit centred on

the nucleus containing a proton. The motion of the electron along the circular orbit

constitutes a current. Calculate the magnetic field produced by the orbiting electron

at the site of the proton.

Answer 1

$v=e\sqrt{\frac k{m_1r}},$

$B=\frac{m_2v}{er}=\sqrt{\frac{km_2^2}{m_1r^3}}=8.4~T.$