Which of these source charges will produce a maximum possible speed?

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SUMMARY

The forum discussion centers on determining which configuration of positive charge Q—sphere, ring, or disk—will launch a proton with maximum speed. The consensus indicates that launching the proton from the surface of a sphere of positive charge Q and radius R yields the highest potential energy, thus maximizing speed. The potential energy calculations for each configuration are essential to confirm this conclusion. The discussion emphasizes the importance of understanding electric potential energy in electrostatics.

PREREQUISITES
  • Understanding of electric potential energy in electrostatics
  • Familiarity with Coulomb's law
  • Basic knowledge of charge distributions (sphere, ring, disk)
  • Proficiency in calculating potential energy from electric fields
NEXT STEPS
  • Calculate the electric potential energy for a proton launched from a sphere of charge Q
  • Analyze the potential energy for a proton launched from a ring of charge Q
  • Evaluate the potential energy for a proton launched from a disk of charge Q
  • Explore the concept of electric field strength and its impact on particle acceleration
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators and researchers interested in particle dynamics and electric charge interactions.

MyNewPony
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Homework Statement



Your lab assignment is to use positive charge Q to launch a proton, starting from rest, so that it acquires the maximum possible speed. You can launch the proton from the surface of a sphere of positive charge Q and radius R, or from the center of a ring of charge Q and radius R, or from the center of a disk of charge Q and radius R.

a) We will choose to launch the proton from the surface of a sphere of positive charge Q and radius R.

b) We will choose to launch the proton from the center of a ring of charge Q and radius R.

c) We will choose to launch the proton from the center of a disk of charge Q and radius R.2. The attempt at a solution

I have no idea how to go about solving this. I'm assuming a) is the correct answer because it has the greatest surface area?
 
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Hi MyNewPony! :wink:

Find the potential energy in each case (calculated with energy at infinity = 0) :smile:
 

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