Answer:
B = 12.46 T
Explanation:
At n = 1 state we know that radius is given as
[tex]R = 5.29 \times 10^{-11} m[/tex]
now we have
[tex]T = \frac{2\pi R}{v}[/tex]
here we know that speed is given in that
[tex]v = 2.18 \times 10^6 m/s[/tex]
now the time period is given as
[tex]T = \frac{2\pi R}{v}[/tex]
[tex]T = \frac{2\pi (5.29 \times 10^{-11})}{2.18 \times 10^6}[/tex]
[tex]T = 1.52 \times 10^{-16} s[/tex]
Now the electric current due to revolution of charge is given by
[tex]i = \frac{e}{T}[/tex]
[tex]i = \frac{1.6 \times 10^{-19}}{1.52 \times 10^{-16}}[/tex]
[tex]i = 1.05 \times 10^{-3} A[/tex]
now magnetic field at the center position is given as
[tex]B = \frac{\mu_0 i}{2R}[/tex]
[tex]B = \frac{4\pi \times 10^{-7} (1.05 \times 10^{-3})}{2(5.29 \times 10^{-11}}[/tex]
[tex]B = 12.46 T[/tex]
