Find the electric field of a point outside sphere

Coderhk
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Homework Statement


Find the electric field of a point outside sphere without using Gauss's law. (Do not evaluate the integral)

Homework Equations


Coulomb's Law
Spherical Co-ordinate System

The Attempt at a Solution


I have attached my attempt as a picture but now I am stuck, I don't know how I can express the distance (h )from the point to the differential element in terms of the other variables. From symmetry I know the y component of the electric field will cancel out
 

Attachments

  • IMG_20190123_000424.jpg
    IMG_20190123_000424.jpg
    25.1 KB · Views: 429
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Mission impossible without a complete problem statement: what kind of sphere ? Imaginary, solid, conducting, grounded ?
 
BvU said:
Mission impossible without a complete problem statement: what kind of sphere ? Imaginary, solid, conducting, grounded ?
I believe the question is talking about a shpherical shell like a gaussian enclosed sphere. I figured out that I need to express h in terms of the cos law. Thanks.
 
Conducting ? In which case the method of images might help ...
 

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