Calculating Equivalent Capacitance of Infinite Array with Co as Capacitance

AI Thread Summary
To determine the equivalent capacitance C between terminals X and Y in the infinite array of capacitors, the approach involves recognizing the recursive nature of the circuit. The capacitance to the left of point AB is calculated as Co/3, while the infinite section to the right also contributes capacitance C. By applying a voltage between points A and B, the relationship between C and the total capacitance can be established, leading to the equation C = Co/3 + C. This equation can be solved to find the value of C, which represents the total capacitance of the infinite array. Understanding this recursive relationship is crucial for solving the problem effectively.
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see diagram for this at
http://img.photobucket.com/albums/v11/biggm/cap.jpg

Question:
Determine the eqivalent capacitance C between terminals X and Y of the infinite set of capacitors represented. Each capacitor has capacitance Co.
Suggestion: imagine that that ladder is but at the line AB. and note that the capacitance of the infinite section to the right of AB is also C.

So far what I've done is calculated the capacitance to the left of AB as three capacitors in series from x to y so its: Co/3. Now i have no idea how to finish this off. It seems like i would just be adding Co/3 "infinitly many times".

any help on this one?
 
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Apply a voltage between A and B.
 
i don't understand this hint
 
any help on this one today??
 
hello? can someone help me on this it is urgent
 

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