What Is the Total Capacitance of a Square Circuit with Identical Capacitors?

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The discussion focuses on calculating the total capacitance of a square circuit with four identical capacitors, one on each side. The user correctly identifies that the two capacitors between diagonally opposite corners A and B are in series, leading to an equivalent capacitance of C/2 for each pair. When combining these two equivalent capacitances in parallel, the total capacitance sums to C. The final conclusion confirms that the total capacitance of the system is indeed equal to C. The solution provided is accurate and validated by other participants.
claudiadeluca
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Hi, I need help with the following exercise:

Homework Statement



We have a square circuit, with 4 capacitors, 1 on each side of the square, all with the same capacitance C. Calculate the total capacitance of the system of capacitors between the two diagonally opposite corners of the square, A and B.

This is how I solved it, could you tell me if it's right?

A ) 2 capacitors (from A to B ): they are in series
B ) 2 capacitors (from B to A): they are in series

A )1/Ceq = 1/C1 + 1/C2= 2/C --> A-Ceq=C/2
B )1/Ceq = 1/C3 + 1/C4= 2/C --> B-Ceq=C/2

Now A-Ceq and B-Ceq are in a parallel configuration:

C) Ceq = C/2 + C/2 = C

The total capacitance is equal to C?

Thank you.
 
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You are correct.
 
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