Determine the deflection angle of a pellet

In summary, a plastic pellet with a mass of 7.5 X 10^-10 kg and a charge of 2.00 X 10^-9 C is fired horizontally between two oppositely charged parallel plates in an electric field with a strength of 9.20 X 10^4 N/C. With an initial speed of 150 m/s, the pellet will experience a force, causing it to deflect at an angle determined by taking the arctan of the change in vertical distance over the change in horizontal distance. This angle can be found by solving for the acceleration and distance traveled in the vertical direction, and using those values to create a triangle and finding the corresponding angle.
  • #1
jpnnngtn
A plastic pellet has a mass of 7.5 X 10^-10 kg and carries a charge of 2.00 X 10^-9 C. The pellet is fired horizontally betweenm a pair of oppositely charged parallel plates. If the electric field strength between the plates is 9.20 X 10^4 N/C and the pellet enters with an initial speed of 150 m/s, determine the deflection angle.

This is the diagram

+ + + + + + + + + + + + + + +

Q+ -------------------------------
\deflection angle(not sccurate drawing)
\
- - - - - - - - - - - ------ - - -
| <-- 2.0cm ----------------->|


*I am almost positive that this problem can be solved by taking the arctan of the change in X over the change in y but i am not sure how to get there. Not in this sense anyway. I can solve these sort of problems when they are not part of electricity.
 
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  • #2
You know that by entering the electric field, the pellet will experience a force. If I understood the problem correctly the force will be perpendicular to the travel direction of the pellet.

The time spent btw the capacitor can be found; distance/velocity = 2 cm/150

The force can be found since E=F/q

Solve for the force.

F=ma

solve for acceleration

you know the amount of time it has accelerated as well as the value of the acceleration, therefore solve for the distance that the pellet has traveled in the verticle direction.

Now make a triangle. Verticle value being the value above, horizontal value being 2 cm. Find the angle of this triangle and there you go.
 
  • #3
The pellet follows a parabola, not a straight line so you must get the arctan of vy over vx.
 

1. What is the deflection angle of a pellet?

The deflection angle of a pellet refers to the angle at which the pellet changes direction when it is subjected to a force. It is typically measured in degrees.

2. How is the deflection angle of a pellet determined?

The deflection angle of a pellet is determined using mathematical equations and physical principles such as Newton's laws of motion. It can also be measured experimentally using specialized equipment.

3. What factors affect the deflection angle of a pellet?

The deflection angle of a pellet can be affected by various factors such as the force applied to the pellet, the shape and size of the pellet, the material of the pellet, and the medium through which it is traveling.

4. Why is it important to determine the deflection angle of a pellet?

Determining the deflection angle of a pellet is important for understanding the trajectory of the pellet and predicting its movement. This information can be crucial in fields such as ballistics, where precise calculations of deflection angles are necessary for accurate targeting.

5. Can the deflection angle of a pellet be controlled?

Yes, the deflection angle of a pellet can be controlled by adjusting the factors that affect it. For example, the force applied to the pellet can be altered, or the shape and size of the pellet can be changed to achieve a desired deflection angle. However, some factors may be more difficult to control, such as the medium through which the pellet is traveling.

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