How Does Charge Distribution Affect Electric Field and Potential in a Sphere?

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SUMMARY

The discussion focuses on the electric field and potential within and outside a uniformly charged sphere of radius R and total charge Q. According to Gauss's law, the electric field inside the sphere (for r PREREQUISITES

  • Understanding of Gauss's law
  • Familiarity with electric fields and potentials
  • Knowledge of mathematical graphing techniques
  • Basic concepts of charge distribution
NEXT STEPS
  • Learn how to derive electric potential inside a uniformly charged sphere
  • Study the implications of charge distribution on electric fields
  • Explore graphical representation of electric fields and potentials
  • Investigate the relationship between electric field strength and distance from charge
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electrostatics and charge distribution effects on electric fields and potentials.

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Consider a uniformly charged sphere of radius R and total charge Q. The electrical field E(out) outside the sphere (r>R) is simply that of a point charge Q. Gauss's law was used to find E(in) inside the sphere(r<R) is radially ouwards with the field strength

Ein = (1/4*pi*epsilon0)*(Q/R^3)*r


A) Graph E vs r for 0<r<3R
b) The electric potential Vout outside the sphere is that of a point charge Q. Find an expression for the electric potential Vin at position r inside the sphere.
c)What is the ration Vcentre/Vsurface
d) Graph V vs r for 0<r<3R
 
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