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Equivalent capacitance!

Note by Advitiya Brijesh
4 years, 3 months ago

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Between which two points are we trying to find the equivalent capacitance?

Jimmy Kariznov - 4 years, 3 months ago

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Assuming you mean between the leftmost two points, we have \(C_{eq} \approx 1.389260105247235 \cdot C\).

Now, can anyone find a closed form for this?

Jimmy Kariznov - 4 years, 3 months ago

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Can you tell me the process?

Advitiya Brijesh - 4 years, 3 months ago

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@Advitiya Brijesh I wrote a program to calculate \(C_{eq}(n)\) for \(n = 1, \ldots, 100\). The convergence was exponential, specifically \(C_{eq}(n) \approx (1.38926 - 0.80082 \cdot 0.07714^n)C\).

While this doesn't solve anything, it might give someone a hint as to how to proceed.

Jimmy Kariznov - 4 years, 3 months ago

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Are you sure if there exists closed-form solution?

Pontus Hultkrantz - 4 years, 2 months ago

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