An electron is projected with uniform velocity along the axis of a current-carrying long solenoid. Which of the following is true?
a) the electron will be accelerated along the axis
b) the electron path will be circular about the axis
c) the electron will experience a force at 45o to the axis and hence execute a helical path
d) the electron will continue to move with uniform velocity along the axis of the solenoid
The answer is the option (d), the electron will continue to move with uniform velocity along the axis of the solenoid.
If the magnetic field of a current-carrying solenoid has a moving electron with uniform velocity across the axis, the electron will face a magnetic force due to magnetic field determined by (in case of F=0, the velocity is parallel to the magnetic field or anti-parallel or ). It will either result in the electron moving with uniform velocity or it will go undeflected across the solenoid axis.