- see picture
- integral E ds = integral charge distribution * 4*pi*R^2 dR
I'm just going to skip some of the step since I only need help with understanding the last part.
After rearranging the equation stated at "Relevant equation" (and skipping some steps) we will get:
E * 4*pi*e0*R^2 = integral pv * 4*pi*R^2 dR
E = 1/(4*pi*e0*R^2) * 4*pi * integral pv*R^2 dR
E = 1/(e0*R^2) * Q/(pi*a^4) * integral R^3 dR
E = Q / (pi*a^4*e0*R^2) * integral R^3 dR
Now for the last step is where I'm unsure where to put the integral limits.
Inside the sphere (0<R<a): the integral should be from 0 to a?
Outside the sphere (R>a): the integral should be from a to R?
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