Suppose we have a resistor of resistance R.
We build a new one by removing a cavity A from inside it, and this new resistor has resistance $R_A$. This cavity can be a sphere or similar region.
We then build a third one by not removing region A but by removing another cavity B from inside a resistor like the original, and this new resistor has resistance $R_B$. We also have that A and B are disjoint regions.
We now build a fourth one by removing both region A and B from inside a resistor like the original, and this gives resistance $R_{AB}$.
My question is, is there any (very) approximate relationship $f(R,R_A,R_B)=R_{AB}$ ?
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