Escaping the magnetic field of a wire

Electricity and Magnetism Level 5

From the surface of a cylindrical wire of radius \(R=1~\textrm{cm}\) carrying a current \(I= 1~\textrm{mA}\) an electron escapes with velocity \(v_{0}=30~\textrm{m/s}\) perpendicular to the surface of the wire. What will be the electron's maximum distance in meters from the axis of the wire?

Details and assumptions

\[\frac{\mu_{0}}{4\pi}= 10^{-7}~\textrm{H/m}\] \[ e/m_{e}=1.76 \times 10^{11}~\textrm{C/kg}\]

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.