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.

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

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a.metals can become magnetic if they have many spinning electrons that create magnetic fields.d.only some metals are attracted by magnets; these metals are called ferromagnetic.

d.wrapping an insulated wire around a metal with ferromagnetic properties and applying an electric current.