How Do You Calculate Total Capacitance in a Mixed Series-Parallel Circuit?

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In summary, a capacitor is an electronic component that stores electrical energy through the accumulation of opposite charges on two conductors separated by an insulating material. The unit of capacitance is the farad, but capacitors are typically measured in microfarads or picofarads. There are various types of capacitors, each with different properties and applications, and choosing the right one for a circuit depends on factors such as required capacitance, voltage rating, frequency, and physical size.
  • #1
JFonseka
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Homework Statement


http://img158.imageshack.us/img158/9616/capacitanceqj8.jpg

C = 12pF

Homework Equations


The basic equations for capacitance in series and capacitance in parallel, which I assume everyone knows

The Attempt at a Solution



Well I calculated the two capacitors in the middle in parallel, which is 24pF
And I assumed the other two are in series, which means it is 8pF

A total of 32pF, but that's not the answer listed in multiple choice.

Help?
 
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  • #2
Nvm, I did it wrong, got the answer: 6pF
 
  • #3


Your attempt at a solution is correct. However, it is important to note that the total capacitance in a series-parallel circuit is not simply the sum of the individual capacitances. In this case, the two capacitors in the middle are in parallel, and their combined capacitance (24pF) is then in series with the remaining capacitor (8pF). This results in a total capacitance of 6.86pF, which may not be listed as an option in the multiple choice. It is important to carefully consider the arrangement of the capacitors in the circuit before simply adding or multiplying their values.
 

FAQ: How Do You Calculate Total Capacitance in a Mixed Series-Parallel Circuit?

What is a capacitor?

A capacitor is an electronic component that stores electrical energy in the form of an electric field. It consists of two conductors, called plates, separated by an insulating material, known as a dielectric.

How does a capacitor work?

When a voltage is applied to a capacitor, it stores energy by accumulating opposite charges on its plates. The amount of charge that can be stored is proportional to the voltage applied and the capacitance of the capacitor.

What is the unit of capacitance?

The unit of capacitance is the farad (F). However, capacitors are usually measured in microfarads (μF) or picofarads (pF) due to their small size.

What are the different types of capacitors?

There are several types of capacitors, including ceramic, electrolytic, film, and variable capacitors. Each type has different properties and is suitable for different applications.

How do I choose the right capacitor for my circuit?

The right capacitor for a circuit depends on several factors, such as the required capacitance, voltage rating, frequency, and physical size. It is important to carefully consider these factors and select a capacitor that meets the specifications for your circuit.

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