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(Solved): Some physical systems processing capacitance continuously distributed over space can be modeled as a ...



Some physical systems processing capacitance continuously distributed over space can be modeled as an infinite array of discrete circuit elements. Examples are a microwave waveguide and the axon of a nerve cell. To practice analysis of an infinite array, determine the equivalent capacitance C between terminals X and Y of the infinite set of capacitors represented in the figure below. Each capacitor has capacitance C0. (Use the following as necessary: C0. Suggestion: Imagine that the ladder is cut at the line AB, and note that the equivalent capacitance of the infinite section to the right of AB is also C.)

right of \( A B \) is also \( C \).)

right of is also .)


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As it is given that, Co, C1, and Co are connected in series. As we know that the capacitors series combination is given as, And here assumed

Then equivalent can be calculated as,
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