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

Hi,

I'm wondering if this is the proper way to approach this problem. The question says to:

a)find the electric field at the center of curvature of the hemisphere (center of the flat bottom).

2. Relevant equations

Gauss's law: integral E*da = Qencl/epsilon

3. The attempt at a solution

used gauss's law and constructed a Gaussian surface around a solid sphere, found Qencl=k*pi* r^4

and then set integral E*da = Qencl/epsilon. I found the total electric field to be kr^2/8epsilon.

Since this was the electric field at the center of an entire solid sphere, I divided this answer in half since we only have the contribution of half of a solid sphere. I tried to check my answer by using gauss's law and integrating the polar angle from 0 to pi/4 for the hemisphere instead of 0 to pi for the whole sphere but got a different answer for the electric field. Did I get different answers because I cannot check the answer using gauss's law if I'm only integrating over half of a sphere?

Thank you.

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# Homework Help: Electric field at the center of curvature of a solid hemisphere

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