Where is the mistake in this flux calculation – physics.stackexchange.com

Where is the mistake in this flux calculation – physics.stackexchange.com

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Consider a charge $q$ which emits an electric field given by $\mathbf{E}=\frac{kq}{r^2}\mathbf{u_r}$. Consider a circular loop of radius $R$ and choose a coordinate system such that the center $O$ of ...

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