An electron with a velocity of #1×10^7 ms^-1# enters a magnetic field of strength #10 T# aligned perpendicular to the direction of motion of the electron. Calculate the radius of the orbital path that the electron now follows?
(mass of an electron is #9.1*10^-31# kg.)
(mass of an electron is
1 Answer
May 16, 2018
Explanation:
For the special case of a uniform magnetic field aligned perpendicular to the initial direction of motion we can simply equate massxcentripetal acceleration and Lorentz force:
->
Now
Note that we have ignored relativistic effects. We are at 1/30th the speed of light so they would have a non-negligible impact for a precise experiment.