Respuesta :
Explanation:
As the electron is revolving around the proton so, time taken in order to complete one revolution is the time period. Hence, formula for time period of the electron is as follows.
t = [tex]\frac{2 \pi r}{\nu}[/tex]
where, r = radius of the circle
[tex]\nu[/tex] = speed of electron
Now, expression for current through the circular path is as follows.
I = [tex]\frac{q}{t}[/tex]
= [tex]\frac{q\nu}{2 \pi r}[/tex]
Now, magnetic field inside the circular path is as follows.
B = [tex]\frac{\mu_{o}I}{2r}[/tex]
or, = [tex]\frac{\mu_{o}}{2r}(\frac{q\nu}{2 \pi r})[/tex]
Putting the given values into the above formula as follows.
= [tex]\frac{\mu_{o}}{2r}(\frac{q\nu}{2 \pi r})[/tex]
= [tex]\frac{4 \pi \times 10^{-7} T A/m \times 1.6 \times 10^{-19} \times 2.19 \times 10^{6} m/s}{4 \pi \times 5.29 \times 10^{-11}}[/tex]
= 12.52 T
Thus, we can conclude that magnitude of the magnetic field is 12.52 T.
