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Field to Potential Conversion

  • Thread starter stooge
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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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  • #2
kuruman
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