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

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SUMMARY

The total capacitance of a square circuit with four identical capacitors, each with capacitance C, between two diagonally opposite corners is C. The solution involves calculating the equivalent capacitance of two pairs of capacitors in series, yielding Ceq = C/2 for each pair. These two equivalent capacitances are then combined in parallel, resulting in a total capacitance of C. This method confirms the accuracy of the calculations presented in the discussion.

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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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