Electric Potential conducting shell

Click For Summary
SUMMARY

The discussion centers on calculating the initial speed \( v_0 \) required for an electron to reach a charged conducting shell with a potential of -V. The relevant equation derived is \( v_0 = \sqrt{\frac{2 \Delta u}{m}} \), where \( \Delta u \) represents the change in potential energy, defined as \( \Delta U = e \cdot V \). The conservation of energy principle is emphasized, stating that the sum of kinetic and potential energy remains constant throughout the electron's motion.

PREREQUISITES
  • Understanding of electric potential and potential energy
  • Familiarity with the conservation of energy principle
  • Basic knowledge of kinematics and dynamics
  • Ability to manipulate equations involving kinetic and potential energy
NEXT STEPS
  • Study the concept of electric potential and its calculation in spherical conductors
  • Learn about the conservation of energy in electrostatics
  • Explore the relationship between electric potential and potential energy
  • Investigate the motion of charged particles in electric fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields, particularly in the context of electrostatics and energy conservation principles.

suspenc3
Messages
400
Reaction score
0

Homework Statement


A thin, spherical, conducting shell of radius R is mounted on an isolating support and charged to a potential of -V. An electron is then fired from point P at a distance r from the center of the shell. (r>>R) with an initial speed v_0 and directly towards the shell's center. What value of v_0 is needed for the electron to just reach the shell before reversing direction?


Homework Equations


\Delta u = \frac{1}{2}mv_0^2


The Attempt at a Solution



v_0=\sqrt{\frac{2 \Delta u}{m}}

Im not sure if this is what I should do, if so, how can I get something for \Delta u
 
Physics news on Phys.org
What is the PHYSICS underlying the "relevant equation"?
What does \Delta u mean? and how is it related to the "Electric Potential"?
 
robphy said:
What is the PHYSICS underlying the "relevant equation"?
Conservation of Energy Kinetic Energy + Potential Energy = Constant.
robphy said:
What does Delta u mean? and how is it related to the "Electric Potential"?
Delta U = changes in Potential Energy
= e*V

Regards,

Nacer.
 
does "V" have a value?
 

Similar threads

  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
44
Views
4K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
12
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K