Do two cathode rays attract each other?

Question

We know that two wires carrying current in the same direction attract each other and there is a well know explanation for that. I am just curious to know if anyone has ever seen any experiment where two cathode rays actually attract each other.

Answer 1

The electrostatic repulsive force between two beams of electrons is always greater than the magnetic attractive force between the moving electrons.
The proof of this is to be found here.

When the electrons are moving in a wire the net electrostatic repulsive force is zero because the net charge on a wire is zero and so only the attractive magnetic field force is felt by the wires.

Answer 2

Two cathode rays do not necessarily attract each other. This can be observed from electron beam experiments. We can assume that an electron beam is made up of several electron rays. The beam always diverges due to space charge effects and reaches a limiting value.