Parallel connection between capacitors

In summary, The speaker is struggling to solve a problem involving capacitors, but has found a potential solution by breaking one capacitor into two and using a "delta-->Y transformation". They suggest first solving a simplified version of the problem with resistors and then converting back to capacitors to find the overall impedance.
  • #1
-marko-
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I don't know how to start solving attached problem (3.126 from Irodov) because I can't identify any series or parallel connection between capacitors. I came to an idea that I should "break" capacitor C3 into two capacitors and then get two series and one parallel connections.

Any ideas?
 

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  • #2
That looks like it needs a "delta-->Y transformation".
It is more commonly used for resistors, but also works for capacitors
 
  • #3
The circuit is real and solvable, it just is not conducive to using the usual parallel & series simplification equations.

Try it this way. First solve the simplified version where the components are resistors. Ground the Vb end, and solve for the two middle node voltages as a function of the drive voltage Va. That gives you the inside currents, and that gives you the overall impedance since you know the drive voltage Va. Now just change the components back to capacitors and solve the same equations with the capacitive impedances.
 

FAQ: Parallel connection between capacitors

What is a parallel connection between capacitors?

A parallel connection between capacitors is a circuit configuration where two or more capacitors are connected in such a way that the positive terminals are connected together and the negative terminals are connected together.

How does a parallel connection affect the total capacitance?

In a parallel connection, the total capacitance is equal to the sum of the individual capacitances. This means that the total capacitance is larger than the capacitance of each individual capacitor.

What happens to the voltage across each capacitor in a parallel connection?

In a parallel connection, the voltage across each capacitor is the same. This is because the capacitors are connected in parallel to the same voltage source.

What is the purpose of using a parallel connection between capacitors?

The purpose of using a parallel connection between capacitors is to increase the total capacitance of a circuit. This can be useful in applications where a larger capacitance is needed to store more charge or to filter out unwanted frequencies.

How does a parallel connection between capacitors affect the overall impedance of a circuit?

In a parallel connection, the overall impedance of the circuit decreases. This is because the total capacitance increases, which leads to a decrease in the overall reactance of the circuit. This can be beneficial in reducing the resistance to the flow of current in a circuit.

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