If a charged particle enters into a uniform magnetic field neither perpendicularly nor parallel to the field. What is the path of the charged particle? A)Straight line B)Elliptical C)Helical D)Parabola

1 Answer
Jane
Mar 6, 2018

#C)# Helical

Explanation:

Suppose the charged particle enters into the magnetic field,making an angle #theta# w.r.t the direction of magnetic field.

So,component of velocity along magnetic field is #v cos theta#,so force acting on the particle due to this component of velocity is #qv cos theta B sin 0=0#

therefore no force exists to prevent this component of velocity to slow down,or change direction,so th charged particle moves along the direction of magnetic field.

Now,component of velocity perpendicular to the magnetic field is #v sin theta#,so force acting due to this component of velocity is #qv sin theta B sin90=qvsintheta B#

So,due to this component of velocity the charged particle tends to move in a circle,but at the same time it proceeds forwards,the resultant motion looks like this,which is described as a helical motion. www.physicscatalyst.com

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