Question

If the given electron has a velocity not perpendicular to B, then the trajectory of the electron will be​

Answer 1

Explanation:

The force acting on the charged particle placed in a magnetic field is given as

F=q(v×B)

If the velocity is perpendicular to that of the magnetic field then the force acting on the charged particle is perpendicular to that of velocity and magnetic field. There will not be any components of the force. This is possible only when the trajectory of the field is circular.

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Answer 2

Answer : When electron velocity is not perpendicular to B then the trajectory of the electron will be helical.

Explanation:

• If the velocity is not perpendicular to the magnetic field, then we can compare each component of the velocity separately with the magnetic field. The component of the velocity perpendicular to the magnetic field produces a magnetic force perpendicular to both this velocity and the field

• If charged particle moves in the region of uniform magnetic field such that its velocity is not perpendicular to the magnetic field then the velocity of the particle split into two components.

• A charged particle moving with a velocity not in the same direction as the magnetic field. The velocity component perpendicular to the magnetic field creates circular motion, whereas the component of the velocity parallel to the field moves the particle along a straight line. The pitch is the horizontal distance between two consecutive circles. The resulting motion is helical.

Hence, When electron velocity is not perpendicular to B then the trajectory of the electron will be helical.