Calculate the radius of the orbit of a proton moving at 1.7x10^6 m/s in a magnetic field 0.8 T where v and B are perpendicular. Give your answer in centimetres.

Respuesta :

Answer:

2.28 cm

Explanation:

Radius of the proton if v and B is perpendicular will be,

[tex]r=\frac{mv}{qB}[/tex]

Now,

mass of proton, [tex]m=1.67\times10^{-27} kg[/tex].

Radius of the orbit, [tex]r=1.7\times10^{6} m/s[/tex].

Magnetic field, [tex]B=0.8 T[/tex].

Charge on the proton, [tex]q=1.6\times10^{-19} C[/tex].

Now substitute all the variables in r.

[tex]r=\frac{1.67\times10^{-27} kg(1.7\times10^{6} m/s)  }{0.8 T(1.6\times10^{-19} C) }[/tex].

[tex]r=2.28 \times10^{-2} m\\r=2.28 cm[/tex].

Therefore the radius of the orbit of moving proton is 2.28 cm.