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## Homework Statement

A hemisphere of radius

**a**centered at the origin carriers a total charge

**Q**uniformly distributed over its curved surface. Find the e-field at a point

**h**on the z-axis.

## Homework Equations

[tex]d\vec{E} = \frac{1}{4\pi\epsilon} \frac{dq}{R^2}\hat{R}[/tex]

## The Attempt at a Solution

Can someone please tell me if this answer is correct (my professor and I both had a real hard time figuring this one out):

[tex]\vec{E}(0,0,h) = \frac{Q}{4\pi\epsilon}\Big(\frac{a}{h^2\sqrt{h^2+a^2}} + \frac{1}{h^2}\Big)\hat{z}[/tex]

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