Consider a beam of electron so that each has a kinetic energy of 1:95 x 10-15J. We want to set up an electric field parallel to the beam that stops the electrons after they've crossed a distance of 0.14m? What is the electric field strength that we need?

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Consider a beam of electron so that each has a kinetic energy of 1:95 x 10-15J. We want to set up an electric field
parallel to the beam that stops the electrons after they've crossed a distance of 0.14m? What is the electric field strength that we need?

Expert Solution
Step 1

The beam of electrons is moving with a velocity such that each electron has a kinetic energy of 1.95×10-15 J

If an electric field is set up in order to stop these electrons, this electric field will have to do a work against the motion of the electrons, such that the kinetic energy of the electrons goes to zero and they come to a rest.

Thus, the work done on the electrons by the electric field must equal their change in kinetic energy, according to the work energy theorem.

The work done on a charge moving in an electric or a potential field is given as

W=eVe is the charge on the electronV is the electric potential

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