All Problems

Electric Capacitance, Energy of an Electric Field

Problem 3.116

Find the capacitance of an infinite circuit formed by the repetition of the same link consisting of two identical capacitors, each with capacitance \(C\) (Fig. 3.20).

Reveal Answer
Cx=C(V5‾−1)/2=0.62C. Since the chain is infinite, all the links beginning with the second can be replaced by the capacitance C x equal to the sought one. C_{x}=C(V \overline{5}-1) / 2=0.62 C . \text { Since the chain is infinite, all the links beginning with the second can be replaced by the capacitance C x equal to the sought one. }
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