Proton passes parallel conducting plates

Click For Summary
SUMMARY

A proton passing between two parallel conducting plates with a steady potential difference exhibits a more curved path compared to an alpha particle entering at the same velocity. The difference in curvature is attributed to the charge and mass of the particles; the alpha particle, having double the charge of the proton, experiences double the force (F=Eq), but its mass is approximately four times greater, resulting in halved acceleration. Consequently, the proton accelerates more, leading to a tighter turn in its trajectory.

PREREQUISITES
  • Understanding of electric fields and forces (F=Eq)
  • Knowledge of particle physics, specifically protons and alpha particles
  • Familiarity with concepts of mass and acceleration
  • Basic principles of motion in electric fields
NEXT STEPS
  • Study the effects of electric fields on charged particles
  • Learn about the relationship between charge, mass, and acceleration in particle dynamics
  • Explore the concept of circular motion and its relation to acceleration
  • Investigate the behavior of different charged particles in electric fields
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism and particle dynamics, as well as anyone interested in the behavior of charged particles in electric fields.

Masafi
Messages
58
Reaction score
0
A proton is shown to pass between two parallel conducting plates across which a steady potential difference is maintained. Its path curves upwards.

An alpha particle enters at the same point with the same velocity as the proton. Add its path to the diagram. Why is it like this.

The path is less curved, and the answer given is:

Charge on alpha is double that on proton, so force is double using F=Eq

Mass of a particle is (approx) 4 times more hence acceleration is approximately halved

Why is the second point added? What has the acceleration got to do with the change in path? Is it that particles that deflect more have a greater acceleraton because their direction is changed?
 
Physics news on Phys.org
Hi Masafi! :smile:
Masafi said:
What has the acceleration got to do with the change in path? Is it that particles that deflect more have a greater acceleraton because their direction is changed?

Yes, it's like turning a car … the more acceleration, the tighter the circle.

So the proton accelerates more than the alpha particle, and it turns tighter (more curved). :wink:

(acceleration is change in velocity, and that of course includes change in direction, even if there's no change in speed :smile:)​
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
8K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 10 ·
Replies
10
Views
5K
Replies
16
Views
8K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
2
Views
6K