# With what speed did an electron flew into a uniform magnetic field, the induction of which is 10 T

**With what speed did an electron flew into a uniform magnetic field, the induction of which is 10 T, perpendicular to the lines of induction, if a field with a force of 8 * 10 ^ -11H acts on it?**

q = 1.6 * 10 ^ -19 Cl.

B = 10 T.

Fl = 8 * 10 ^ -11 N.

∠α = 90 °.

V -?

The electric charge q, which moves at a speed V in a magnetic field with induction B, is acted upon by the Lorentz force Fl, the value of which is determined by the formula: Fl = q * V * B * sinα, where ∠α is the angle between the direction of motion of the charge V and the magnetic induction vector IN.

V = Fl / q * B * sinα.

The magnitude of the electric charge of an electron is q = 1.6 * 10 ^ -19 C.

V = 8 * 10 ^ -11 N / 1.6 * 10 ^ -19 C * 10 T * sin90 ° = 0.5 * 10 ^ 8 m / s.

Answer: an electron flies into a uniform magnetic field with a speed of V = 0.5 * 10 ^ 8 m / s.