An electron moves at some arbitrary angle to the magnetic field direction (B is in + zˆ direction). The trajectory is a helix with some pitch d. Considering the velocity of an electron in XY plane v and in + z direction vz find d. Hint - consider XY and Z motion independent and calculate the period of circular motion.

Question

Madeleine Charles

Physics

18 August, 01:39

An electron moves at some arbitrary angle to the magnetic field direction (B is in + zˆ direction). The trajectory is a helix with some pitch d. Considering the velocity of an electron in XY plane v and in + z direction vz find d. Hint - consider XY and Z motion independent and calculate the period of circular motion.

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Answers (1)

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Kallie Mcbride · Answer 1

T = d/vz

Explanation:

Considering the velocity of an electron in + z direction = vz

Pitch = d

The period of circular motion = T = ?

We can use the formula

d = T*vz

then, the period T is

T = d/vz