In hydrogen atom, the electron is making 6.6*10^15 revolutions per second in circular path of radius 0.53ang. what is the magnetic induction produced at the center of orbit?
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A electron revolving in a circular orbit may be treated as current flowing in a circular ring. We are to find magnetic induction at the centre of this ring.
The current $i=e/T=Ef$.
Here $f$ is the frequency of revolution of electron.
The formula for magnetic induction at the centre of a current carrying ring is(which I hope you know)$$B=\frac{\mu_0 i}{2r}$$
Just substitute $ i$ in the above equation.
So your answer in terms of variables is:$$\frac{\mu_0 ef}{2r}$$
