An electron moves in a magnetic field with an induction of 4 mT.

An electron moves in a magnetic field with an induction of 4 mT. Determine the frequency and period of rotation of an electron in a circular orbit.

Given:
B = 4 mT = 4 * 10 ^ -3 T;
q = 1.6 * 10 ^ -19 C;
m = 9.1 * 10 ^ -31 kg.
Decision:
qvB = (mv ^ 2) / R;
V = (qBR) / m = 2pp / T;
T = (2nm) / qB = (2 * 3.14 * 9.1 * 10 ^ -31) / (1.6 * 10 ^ -19 * 4 * 10 ^ -3) = 8.9 * 10 ^ – 9 = 8.9 ns.
Answer: 8.9