# A simple problem

Place an opaque "blob" of charge on a transparent, hemispherical nonconducting shell, as shown.

. Find z component of field due to it, at centre O.

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Note by Karthik Venkata
1 year, 4 months ago

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@Kishore S Shenoy (vector = scalar ?) Yeah, you are right. The result is trivial, but has applications. For example, if we want to calculate field due to a hemispherical shell of charge at the centre, without messy integration.

- 1 year, 4 months ago

Yeah, I know. That's the beauty of nature's dimensional analogy!

- 1 year, 4 months ago

Is it $$\vec{E} = \dfrac{\sigma A}{4\pi\epsilon_0 r^2}\hat{e_z}$$?

- 1 year, 4 months ago