Solve each part of following question given below:

Problem: A proton is moving in a uniform magnetic field oriented along the positive x-axis. Its initial velocity, Vo , has zero z-component and the particle starts off in the y-z-plane.

Part I: Choosing the y-axis along the vertical direction, draw a sketch that illustrates the proton's trajectory and the initial velocity that would lead to a circular path.

Part II: What would you need to change, if you wanted the proton to move on a helical path along the positive x axis?

Part III: What would have to be the pitch angle in order for the pitch to equal the cyclotron radius?

Please show all work and steps clearly explain. Thanks.