How Do You Calculate Electrostatic Potential Outside a Sphere?

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SUMMARY

The discussion focuses on calculating the electrostatic potential outside a charged sphere using the formula V=(q/4∏ε)*(1/r). The user expresses difficulty in determining the potential at a point outside the sphere and understanding the distance between charges. The method of images is highlighted as a technique to simplify the problem by replacing distributed charges with a single charge. The user anticipates that solving part (a) will assist in addressing part (b) of the homework assignment.

PREREQUISITES
  • Understanding of electrostatics and electric potential
  • Familiarity with the formula for electric potential due to point charges
  • Knowledge of the method of images in electrostatics
  • Basic calculus for distance calculations in three-dimensional space
NEXT STEPS
  • Study the method of images in electrostatics for simplifying charge distributions
  • Learn how to calculate electric potential for various charge configurations
  • Explore the implications of Gauss's Law in determining electric fields and potentials
  • Practice problems involving electric potential outside spherical conductors
USEFUL FOR

Students studying electrostatics, physics educators, and anyone seeking to understand electric potential calculations in spherical charge distributions.

PedroB
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Homework Statement



I'm currently tackling parts (a) and (b) of section ii) decribed here:http://puu.sh/31KIZ.png

Homework Equations



V=(q/4∏ε)*(1/r)

The Attempt at a Solution



From the first section (i) calculating the potential was relatively straight forward since we were only considering a plane. In part (a) however it just asks me for the potential outside the sphere, and I'm unsure how to calculate this since I can't seem to figure out how to determine the potential at any single point due to either charge (especially since I can't work out the distance between them). Though section (b) also seems puzzling to me, I'm guessing that solving part (a) will aid me in figuring it out.
 
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... you already know an equation for the potential due to a point charge don't you?
The point of the method of images is to replace the distributed charges on the conductor with a single charge and no conductor.

Part b requires you to find what Q has to be - so you only need the potential in general for part a.
 

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