Electron moving in a magnetic field

AI Thread Summary
When an electron is launched into a magnetic field at a 45-degree angle, it experiences two velocity components: one parallel and one perpendicular to the magnetic field. The perpendicular component causes the electron to accelerate in a circular motion, while the parallel component remains unaffected, resulting in linear motion. This combination leads to a helical trajectory, resembling a spring or slinky. The circular motion occurs due to the Lorentz force acting on the perpendicular velocity, while the parallel component continues in a straight line. Thus, the electron moves in a helical path within the magnetic field.
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Homework Statement


how will an electron move if it is launched into an magnetic field at an angle of 45o (w/ respect to the magnetic field)


Homework Equations


F=q*v X B


The Attempt at a Solution


I'm having a hard time picturing what is going on. I know that if the electron is perpendicular to the magnetic field, then it will go around in a circle. I'm thinking that the electron will make and elipse
 
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Try to think of it like this: there are two velocity components (one along the direction of the magnetic field and one perpendicular to the magnetic field). The component perpendicular to the magnetic field will allow for an acceleration that is perpendicular to that particular velocity; the component parallel to the magnetic field results in no acceleration and so that velocity component remains unaffected.
 
so it will look like a spring/slinky? because the part that isn't affected (perpendicular) with make a circle while the other one won't be affected and will therefore go in a straight line
 
Yup...spring, slinky, spiral...all the sort.
 
The mathematical term for this shape is a helix.
 
thanks so much!
 
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