All Problems

Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.382

An electron accelerated by a potential difference \(V\) \(=1.0 \mathrm{kV}\) moves in a uniform magnetic field at an angle \(\alpha=30^{\circ} \mathrm{t}\) the vector \(B\) whose modulus is \(B=29 \mathrm{mT}\). Find the pitch of the helical trajectory of the electron.

Reveal Answer
Δl=2π2mV/eB2cosα=2.0 cm\Delta l=2 \pi \sqrt{2 m V / e B^{2}} \cos \alpha=2.0 \mathrm{~cm}