Alteron
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This problem involves a an electron describing a helical path, but I've never worked with helixes in my life, so I'm completely stuck.
An electron enters a region where a uniform magnetic field B, of magnitute B = 3.00 * 10^(-3) T exists. The velocity v of the electron, of magnitute v = 1.80 * 10^7 ms^-1, makes an angle α = 60.0° with the field B. (B is a straight line, v is at an angle of 60° to B).
Calculate:
1. The radius R of a loop of helix
2. The time taken for the electron to complete one full revolution
3. The pitch of the helix (the distance between the two consecutive loops)
As far as I can tell the only way to solve this is to split the motion of the helix into 2 component vectors, but I don't know how to incorporate the angle, I never tried to solve a helical problem before, so I'm not sure which equations are relevant.
Homework Statement
An electron enters a region where a uniform magnetic field B, of magnitute B = 3.00 * 10^(-3) T exists. The velocity v of the electron, of magnitute v = 1.80 * 10^7 ms^-1, makes an angle α = 60.0° with the field B. (B is a straight line, v is at an angle of 60° to B).
Calculate:
1. The radius R of a loop of helix
2. The time taken for the electron to complete one full revolution
3. The pitch of the helix (the distance between the two consecutive loops)
Homework Equations
The Attempt at a Solution
As far as I can tell the only way to solve this is to split the motion of the helix into 2 component vectors, but I don't know how to incorporate the angle, I never tried to solve a helical problem before, so I'm not sure which equations are relevant.