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Calculating the potential of a spherical shell

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I am working through this problem and part A is easy enough to show but part b and c have me wondering if I am on the right path.

For part b--
I get the point p = r' sin(theta) - r
Then dV = k*sigma * 2 * pi * r' ^2 cos(theta) d(theta)/ (r'^2 + r^2 - 2 r r' sin(theta))^(1/2)

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Solution Summary

Electric potential due to charged spherical shell is estimated.

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For integration, apply substitution method:
(r'^2 + r^2 - 2 r r' sin(theta)) = x
=> -2 r r' cos(theta) d(theta) = dx

When theta = -pi/2, ...

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