What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56×104v/m and a magnetic field of 4.62×10−3t

Respuesta :

Answer:

[tex]3.38\cdot 10^6 m/s[/tex]

Explanation:

Assuming the electron is moving in a straight line, it means that the electric force and the magnetic force acting on the electron are balanced:

[tex]F_E = F_B\\qE = qvB[/tex]

where

q is the electron charge

E is the electric field

v is the electron speed

B is the magnetic field

Re-arranging the equation and solving for v, we find the electron's speed:

[tex]v=\frac{E}{B}=\frac{1.56\cdot 10^4 V/m}{4.62\cdot 10^{-3} T}=3.38\cdot 10^6 m/s[/tex]