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Electricity and Magnetism Level 3

In the image above, gray dots are capacitors of capacitance \(1\mu f\).

That gray area shows that, there is infinite arrangement of capacitors, such that first circle has 4 capacitors , second one has 8 capacitors, third 16 capacitors and next 32 and so on, as shown.

Find the equivalent capacitance in \(\mu f \) between the two terminals \(A\) (at the center) and \(B\) (at infinity).

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