An electron entering a magnetic field at a speed of 10 ^ 5 m / s has a force of 25 * 10 ^ -10 N.
| June 23, 2021 | education
An electron entering a magnetic field at a speed of 10 ^ 5 m / s has a force of 25 * 10 ^ -10 N. What is the induction of the magnetic field?
Data: V (the speed with which the electron flies into the magnetic field) = 10 ^ 5 m / s; Fl (the Lorentz force that acts on the electron) = 25 * 10 ^ -10 N; for the calculation we take that α (the angle between the velocity vector and the magnetic induction vector) = 90º.
Constants: qе (electron charge modulus) = 1.6 * 10 ^ -19 Cl.
The magnetic field induction is determined from the formula for calculating the Lorentz force: Fl = qе * B * V * sinα, whence B = Fl / (qе * V * sinα).
Calculation: B = 25 * 10 ^ -10 / (1.6 * 10 ^ -19 * 10 ^ 5 * sin 90º) = 156 250 T.
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