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I'm trying to solve the following problem but I have some doubts.

I have a disk of radius $R$ with charge $Q$ (positive) and, at distance $d$, an uncharged conductor (of radius $R$ as well). Both are centered at the same axis.

Supposing $R$ is very big compared to the considered distances, I'm asked about the electric field $\vec E$ between the disk and the conductor, inside the conductor, and above it.

I know, since $R$ is big, I can approximate the disk as an "infinite" plane, so $\vec E$ will be uniform. In that case, it's easy to calculate the field caused by the disk alone. But total $\vec E$ will be $\vec E_{\text{disk}} + \vec E_{\text{conductor}}$ and I can't figure out how to find this last one.

Here's what I'm talking about if it's not so clear (my english may not be very good).

enter image description here

Any help would be appreciated.

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The presence of the conductor will not have any effect on E outside the conductor but inside the conductor E=0 , because guass law should hold .

You can say that E above and in between conductor will be same as E due to infinite charged plate

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