All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.384

A non-relativistic electron originates at a point AA lying on the axis of a straight solenoid and moves with velocity vv at an angle α\alpha to the axis. The magnetic induction of the field is equal to B.B . Find the distance rr from the axis to the point on the screen into which the electron strikes. The screen is oriented at right angles to the axis and is located at a distance ll from the point AA.

Reveal Answer
r=2ρ∣sin⁡(φ/2)∣, where ρ=mveBsin⁡α,φ=leBmvcos⁡αr=2 \rho|\sin (\varphi / 2)|, \text { where } \rho=\frac{m v}{e B} \sin \alpha, \varphi=\frac{l e B}{m v \cos \alpha}
Prev
Next