(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

While solving this problem at r >>a ,the corresponding potential due to the dipole is kpcosθ/r^{2}(potential due a dipole) where k is the electrostatic constt. .........(1)

If σ(θ) is the surface charge density induced due to external electric field.

then the dipoel moment of the configuration is 2π∫σ(θ)a^{3}sinθ cosθ dθ from 0 to π.....(2)

Now comparing (1) with the right most term of potential given in question the dipole moment is p=4πε_{0}a^{3}

And comparing this with (2)

4ε_{0}=∫σ(θ)sin2θdθ from 0 to π.

Now the charge density at 30° is to be calculated .

will anyone please help me in sort out this.as I got stuck here.

3. The attempt at a solution

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# Variable induced surface charge density on a sphere

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