contestada

A uniform 4.4 t magnetic field points north. if an electron moves vertically downward (toward the ground) with a speed of 2.5 × 107 m/s through this field. the charge on a proton is 1.60×10−19 .

a.what is the magnitude of the force acting on it? answer in units of n.

Respuesta :

Answer:

[tex]1.8\cdot 10^{-11} N[/tex]

Explanation:

The force acting on the electron due to the magnetic field is

[tex]F=qvB sin \theta[/tex]

where

[tex]q=1.6\cdot 10^{-19} C[/tex] is the charge of the electron

[tex]v=2.5\cdot 10^7 m/s[/tex] is its speed

[tex]B=4.4 T[/tex] is the intensity of the magnetic field

[tex]\theta=90^{\circ}[/tex] is the angle between the direction of the field and the velocity of the electron

Substituting all the numbers into the equation, we find

[tex]F=(1.6\cdot 10^{-19}C)(2.5\cdot 10^7 m/s)(4.4 T) sin 90^{\circ}=1.8\cdot 10^{-11} N[/tex]