The electron moves at a speed of 1.76 * 10 ^ 6 m / s perpendicular to the induction vector of a uniform magnetic field. The radius of the circle along which the electron moves is 2.5 cm. Find the magnetic induction.
q = 1.6 * 10 ^ -19 Cl.
m = 9.1 * 10 ^ -31 kg.
V = 1.76 * 10 ^ 6 m / s.
R = 2.5 cm = 0.025 m.
B – ?
A moving electron in a magnetic field is acted upon by the Lorentz force Fl, the value of which is determined by the formula: Fl = q * B * V.
Let’s write 2 Newton’s law for an electron: m * a = Fl.
We express the centripetal acceleration a by the formula: a = V ^ 2 / R, where V is the speed of movement, R is the radius of the circle.
m * V ^ 2 / R = q * B * V.
We express the magnetic induction B by the formula: B = m * V / R * q.
B = 9.1 * 10 ^ -31 kg * 1.76 * 10 ^ 6 m / s / 0.025 m * 1.6 * 10 ^ -19 Cl = 400 * 10 ^ -6 T.
Answer: the induction of the magnetic field is B = 400 * 10 ^ -6 T.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.