Simple magnetic field circular motion problem

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The discussion centers on the motion of protons in a magnetic field oriented along the +z-axis while moving in the x-y plane at a 30-degree angle from the +x-axis. The initial assertion is that the motion would be helical due to the velocity not being completely perpendicular to the magnetic field. However, it is clarified that since the velocity component in the z-direction is zero, the motion is indeed circular in the x-y plane. The key conclusion is that the protons will describe a circular path because their motion is perpendicular to the magnetic field. Thus, the correct interpretation of the motion is circular, not helical.
letsgo
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There's basically a beam of protons moving in the x-y plane, 30 degree from the +x-axis. The magnetic field is oriented in the +z-axis. So would the particle's motion be circular or helical?

I say helical, because the velocity isn't completely perpendicular.
Is this correct?
 
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If the velocity is not perpendicular to the field, what angle to you think it makes, and why?
 
Okay, is it 90? So then it means it is circular? Since even though its 30 degrees from the x-axis, its still perpendicular to the B-field?
 
letsgo said:
Okay, is it 90? So then it means it is circular? Since even though its 30 degrees from the x-axis, its still perpendicular to the B-field?
Yes, it should describe a circle in the XY plane.
 

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