Speed of an Electron in an Electric Field

In summary, the conversation discusses a problem involving two stationary positive point charges and an electron released from rest between them. The goal is to find the final velocity of the electron when it is 10.0 cm from charge 1. The equations for electric field, force on a charge, and motion of a mass experiencing a force are mentioned, but the person is unsure of how to use them. They have calculated the initial and final energies, but are unsure of what to do next.
  • #1
HELLO11
19
0

Homework Statement



. Homework Statement

Two stationary positive point charges, charge 1 of magnitude 3.25 nC and charge 2 of magnitude 1.55nC , are separated by a distance of 57.0cm . An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges.

find Vfinal of the electron when it is 10.0 cm from charge 1 the want the final answer in m/s

i don't get any of this my professor went to fast. can anyone help?

Homework Equations



not sure

The Attempt at a Solution

 
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  • #2
What is the equation for the electric field due to a point charge?

What is the equation for the force on a charge due to an electric field?

What is the equation relating force, mass and acceleration?

What is the equation of motion of a mass experiencing a force?
 
  • #3
I figured out the Uinital=-2.42e-17J, Kinitial= 0J, Ufinal is -5.15e-17J where do i go from here
 
  • #4
Hi HELLO11,

Energy is conserved in this situation; but Uinitial is not equal to Ufinal. In what form is the rest of the energy at the final point? Once you have that you'll be able to find the speed of the electron.
 

What is the speed of an electron in an electric field?

The speed of an electron in an electric field depends on the strength of the electric field. In a vacuum, the speed of an electron is approximately 2.2 x 10^6 meters per second in a 1 volt/meter electric field.

What factors affect the speed of an electron in an electric field?

The speed of an electron in an electric field is affected by the strength of the electric field, the mass of the electron, and any other forces acting on the electron, such as magnetic fields.

How is the speed of an electron in an electric field measured?

The speed of an electron in an electric field can be measured using various techniques, such as time-of-flight measurements or velocity selectors. These methods use the principles of electric and magnetic fields to determine the speed of the electron.

What is the relationship between the speed of an electron and its kinetic energy in an electric field?

The speed of an electron in an electric field is directly proportional to its kinetic energy. As the electron gains speed, its kinetic energy also increases.

How does the speed of an electron in an electric field compare to the speed of light?

The speed of an electron in an electric field is much slower than the speed of light. In fact, it is only a fraction of the speed of light, which is approximately 3 x 10^8 meters per second.

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