Radius of helical motion in a magetic field

AI Thread Summary
The discussion focuses on determining the radius of helical motion for a charged particle entering a magnetic field at an angle x. The initial equation derived is r = mv/qbsinx, indicating that the radius is dependent on the sine of the angle. However, confusion arises regarding the proportionality to sinx, particularly when considering the case where x equals 0, which would suggest an infinite radius, contradicting the physical scenario. Participants clarify that the force acting on the charge is never zero when the angle is between 0 and 90 degrees, emphasizing the importance of the angle in calculating curvature. Overall, the relationship between radius and angle in magnetic fields is a key point of discussion.
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Homework Statement


When the charge enters the magnetic feld at an angle x , how the radius can be expressed as?


Homework Equations


Force of charge in a magentic field = qvbsinx
centripetal force = mv^2/r

The Attempt at a Solution


when i combined the two equations above, i got r=mv/qbsinx,
but the question i did said the radius is directly proportional to sinx. What i have done wrong?Hope someone can help me :)
 
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Seems to me your answer is correct. What if the angle x = 0? What does your answer give for r for this case? Does it make sense?

What would r be for x = 0 if r were proportional to sinx? Would that make sense?
 
comment: 2) Force applied to the moving charge is q v B sinθ ... Force "of" the charge sounds like the charge is applying that Force.

If the Force is zero, the curvature is zero ... curvature is proportional to sinθ.
I hope you mis-read the question's "discussion".
 
but the angle x is a θ less then 90 degrees but bigger than 0 degree...the force applied is never 0
 
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