Question

Two electrons moving along the parallel lines with different velocities (neglect electrostatic repulsion)will 1)attract 2)repel. 3) neither attract nor repel. 4)may attract or repel each other

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Answer 1

They will attract

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Answer 2

Lorentz Transform

Explanation:

• The magnetic field is the Lorentz transform the electric field or it can be result of charge moving with respect to observer.
• The Lorentz Force equation has both the electric as well as magnetic field, so it can be shown that the force is repulsive with respect to electrons and becomes attractive after the speed become zero.
• When the electrons move in two parallel, the force of attraction due to the magnetic field on two lines is in the same directions to each other hence the beam of the electron will attract each other.
• When the electrons move at high speed, the magnetic force of attraction overcomes the electrostatic force of repulsion, and hence the lines will attract each other.
• Therefore, two parallel beams of the electron will attract each other.