A proton travels at a speed 0.25 x 10^7 m/s perpendicular to a magnetic field. The field causes the proton to travel in a circular path of radius 0.975 m. What is the field strength, in tesla?

Respuesta :

Answer:

The magnetic field strength of the proton is 0.026 Tesla.

Explanation:

It is given that,

Speed of the proton, [tex]v=0.25\times 10^7\ m/s[/tex]

The radius of circular path, r = 0.975 m

It is moving perpendicular to a magnetic field such that the magnetic force is balancing the centripetal force.

[tex]qvB\ sin90=\dfrac{mv^2}{r}[/tex]

[tex]B=\dfrac{mv}{qr}[/tex]

q = charge on proton

[tex]B=\dfrac{1.67\times 10^{-27}\ kg\times 0.25\times 10^7\ m/s}{1.6\times 10^{-19}\ C\times 0.975\ m}[/tex]

B = 0.026 Tesla

So, the magnetic field strength of the proton is 0.026 Tesla.