Answer:
2.08 x 10⁻⁶ T
Explanation:
[tex]v[/tex] = velocity of electron = 5.0 x 10⁷ m/s
q = charge on electron
B = magnetic field = ?
E = electric field = 104 V/m
Magnetic force on the electron is given as
[tex]F_{B} = qvB[/tex]
Electric force on the electron is given as
[tex]F_{E} = qE[/tex]
For the electron to pass without being deflected, we must have
[tex]F_{B} = F_{E}[/tex]
[tex]qvB = qE[/tex]
[tex]vB = E[/tex]
(5.0 x 10⁷) B = 104
B = 2.08 x 10⁻⁶ T