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A hemispherical shell of radius a=1 cm has a surface charge density of m=4.00 uC/m^2.

I believe the surface area of a hemispherical shell is 2pi*r^2.  4.00 uC/m^2 is 4E10^-6 C/m^2 as well.

What is the magnitude of the electric field produced by the shell at the spherical center?

 

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