Answer:
The magnitude and direction of the magnetic field is 93.63 T in negative x direction.
Explanation:
Given;
speed of the electron in positive y direction, v = 2.0 x 10⁵ m/s
magnetic force on the electron, F in negative z direction = 3.0 x 10⁻¹² N
The magnitude of the magnetic force is given by;
F = Qv x B
B = F / Qv
[tex]B = \frac{3*10^{-12}}{ (1.602*10^{-19})(2*10^5)}\\\\B = 93.63 \ T[/tex]
The direction of the magnetic field is is as;
Based on the direction of magnetic force (negative z direction), the charge will be directed into negative y-direction because electron is negatively charged. Thus, the direction of the magnetic field will be in the negative x-direction
[tex]F_{(-z)}= Q_{(-y)}V* B_{(-x)}[/tex]
Therefore, the magnitude and direction of the magnetic field is 93.63 T in negative x direction.
