A proton has a charge of 1.6 x 10-19 C and moves perpendicular to a uniform magnetic field of 2 T at a speed of 2.5 x 106 m/s. What is the force experienced by the proton? What will be its acceleration?

Respuesta :

Explanation:

It is given that,

Charge on proton, [tex]q=1.6\times 10^{-19}\ C[/tex]

Magnetic field, B = 2 T

Speed of proton, [tex]v=2.5\times 10^6\ m/s[/tex]

To find,

The force experienced by proton and its acceleration.

Solution,

The force experienced by a proton is given by :

[tex]F=qvB[/tex]

[tex]F=1.6\times 10^{-19}\times 2.5\times 10^6\times 2[/tex]

[tex]F=8\times 10^{-13}\ N[/tex]

We know that the product of mass and acceleration is equal to force. If a is the acceleration of proton. So,

[tex]a=\dfrac{F}{m}[/tex]

[tex]a=\dfrac{8\times 10^{-13}}{1.67\times 10^{-27}}[/tex]

[tex]a=(4.79\times 10^{14})\ m/s^2[/tex]