How Does Electric Field Influence Ion's Cycloidal Motion in a Magnetic Field?

[-Newton-]

Homework Statement

The figure shows the path of a positive ion moving in the xy plane. There is a uniform magnetic field of 6000 gauss in the z direction. Each period of the ion's cycloidal motion is completed in 1 microsecond. What is the magnitude and the direction of the electric field that must be present? Hint: Think about a frame in which the electric field is zero.

Homework Equations

The Attempt at a Solution

I'll appreciate any help.
Thanks!

 

[tiny-tim]

Welcome to PF!

Hi -Newton-! Welcome to PF!

Homework Equations

ok, right forum … now fill in part 2