# Find The Angle of The Electron; Motion of Charges

• withthemotive
In summary, the question is asking at what angle the electrons will leave the uniform electric field created by parallel plates that are 4.9 cm long and have an electric field of E = 5.0 x 10^3 N/C. The answer is -23 degrees, but the person asking the question has been struggling to find the correct answer using the equation y = [(qE) / (2m(V)^2)] * (x)^2 with q= -1.6x10^-19 C and m= 9.1x10^-31 kg. The orientation of the plates is negative on the bottom and positive on the top. The question also asks about the forces acting on the electron and if this information
withthemotive
At what angle will the electrons leave the uniform electric field at the end of the parallel plates? Assume the plates are 4.9 cm long and E = 5.0 x 10^3 N/C.

*The answer to this question is -23 degrees.

So far what I have tried to do is find the position of the electron on the y-axis and then take the tangent of the x&y values. My answers so far have been off. The closest I've gotten so far is -12 degrees.

This is the equation I used:

y = [(qE) / (2m(V)^2)] * (x)^2

q= -1.6x10^-19 C
m= 9.1x10^-31 kg

Let's start again from the beginning.

What are the forces acting on the electron? Can you therefore determine the acceleration of the electron?

*Clarification: Does the question mention the orientation of the field/plates? Is the electric field directed vertically upwards/downwards or horizontally for example?

Yeah, the orientation of the plates is negative on bottom and positive on top.

withthemotive said:
Yeah, the orientation of the plates is negative on bottom and positive on top.
Okay, thanks.
Hootenanny said:
What are the forces acting on the electron? Can you therefore determine the acceleration of the electron?

## 1. What is the angle of the electron in motion of charges?

The angle of the electron in motion of charges refers to the direction in which the electron is moving in relation to the direction of the electric field. It is measured in degrees or radians.

## 2. How is the angle of the electron related to the motion of charges?

The angle of the electron is related to the motion of charges through the Lorentz force law, which states that the force on a charged particle moving in an electric field is equal to the product of the charge, the electric field, and the sine of the angle between the two vectors.

## 3. How can the angle of the electron be determined experimentally?

The angle of the electron can be determined experimentally by using a charged particle detector, such as a Faraday cup or a particle accelerator. These devices can measure the direction and velocity of the electron, allowing for the calculation of the angle.

## 4. What factors can affect the angle of the electron in motion of charges?

The angle of the electron can be affected by various factors, such as the strength and direction of the electric field, the velocity of the electron, and the mass of the particle. Other factors, such as external magnetic fields, can also influence the motion of charges and thus the angle of the electron.

## 5. Why is the angle of the electron important in understanding the motion of charges?

The angle of the electron is important because it determines the direction and magnitude of the force acting on the particle in an electric field. This, in turn, affects the trajectory of the electron and its overall motion. Understanding the angle of the electron is crucial in many fields, including particle physics, electronics, and materials science.

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