Calculate the pitch of eletron cyclotron in b field.

[jhwatts]

Homework Statement

The uniform 26.0 mT magnetic field in the figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 5.50E6 and at an angle of
30 deg. above the xy-plane.

The problem defines the pitch to be the distance between the sucessive loops of the helix.

radius = 1.04 mm

Homework Equations

The Attempt at a Solution

I thought i could slove for the pitch by solving p= r*tan(30), i don't know, i have no experience solving this kind of problem.

 

[HallsofIvy]

I think you will get more response in the physics section than in the mathematics section so I am moving this post.

 

[Rainbow Child]

The electron is moving with constant speed allong the z-direction. Do you know why?
Between two sucessive loops the time is one period. Thus the pitch is the distance traveled by the electron in one period at z-direction.

Can you calculated it, now?