An electron is moving with a velocity of 4.3 x 106 m/s in a uniform magnetic field of strength 3.5 T. The velocity vector makes a 55o angle with the magnetic field. What is the magnitude of the magnetic force on the electron?Group of answer choices4.0 x 10-12 N8.0 x 10-12 N2.0 x 10-12 N6.0 x 10-12 N

Respuesta :

Given:

The velocity of the electron is

[tex]v=4.3\times10^6\text{ m/s}[/tex]

The strength of the uniform magnetic field is B = 3.5 T

The angle between the velocity of the electron and the magnetic field is 55 degrees.

Also, the charge on the electron is

[tex]e\text{ =1.6}\times10^{-19\text{ }}C[/tex]

To find the magnetic force on the electron.

Explanation:

The magnetic force can be calculated as

[tex]\begin{gathered} F=\text{Bev sin }\theta \\ =3.5\times1.6\times10^{-19}\times4.3\times10^6sin(55^{\circ}\text{)} \\ =2\times10^{-12}\text{ N} \end{gathered}[/tex]

Final Answer: The magnetic force on the electron is 2 x 10^(-12) N