Electron in a uniform electric field.

Click For Summary
SUMMARY

An electron accelerating upwards in a uniform electric field indicates that the electric field direction is downward. To calculate the electric field's magnitude, the formula E = k|q|/d² is applicable, where 'd' represents the distance relevant to the electric field's influence. In this scenario, the acceleration of 4.5 m in the first 3 microseconds can be used to determine the distance 'd' by applying kinematics. The correct approach to find the electric field is to use the relationship a = eE/m, leveraging known values of charge, mass, and acceleration.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with kinematic equations
  • Knowledge of the relationship between charge, mass, and acceleration
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the concept of uniform electric fields in parallel plate capacitors
  • Learn how to apply kinematic equations to calculate distance and time
  • Explore the relationship between force, mass, and acceleration in electric fields
  • Investigate the implications of charge and electric field strength on particle motion
USEFUL FOR

Students of physics, particularly those focusing on electromagnetism, as well as educators and anyone seeking to deepen their understanding of electric fields and particle dynamics.

evgeniy
Messages
8
Reaction score
0
First, am I correct on this: If an electron is accelerating upwards in a uniform electric field, then the electric field's direction is pointed opposite, or downwards, right? And to calculate the magnitude and direction of the electric field, I just use the formula

E= k|q|/d^2

The question is: the d, is it the distance from where it starts to where it stops? I ask this because I am aslo given that the acceleration is 4.5m in the first 3 micro-seconds. SO should I divide 3micro-s by 4.5 to find what the d is after 1 s?
Or did I get all this wrong?

Another thing: Can I use the definition of electric field and use : a = F/m or

a = eE/m ? since I know the charge and the mass and the acceleration?
THanks
 
Physics news on Phys.org
Your first sentence is right. But the first formula you gave is for the field of a point particle (at a distance d), while in this problem there is a uniform electric field, like the one set up between the plates of a large parellel plate capacitor. You don't have to worry about the source of the field, though. Just use the acceleration to find the force on the electron and get the field from this, like you suggested at the end.
 
Okay I got it. But my final answer is 8.54 * 10^(-18), isn't it too small? Or am I correct?
 

Similar threads

Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
1
Views
2K
Replies
14
Views
3K
  • · Replies 16 ·
Replies
16
Views
1K
Replies
1
Views
2K
Replies
3
Views
1K