Equivalent circuit for non linear capasitor

In summary: The second approximation of a capacitor is an ideal capacitor with a parallel resistor. This is quoted in the data sheets as ESL, effective series resistance. The leakage current, considered as a function of voltage, models as a resistor in parallel with the ideal capacitor. At high enough frequencies the lead lengths can be inductive and modeled with the addition of a parallel inductor.
  • #1
EHT
13
1
what is the equivalent circuit for a non ideal capasitor?
and if we have a parallel plate capasitor which consist of 2 metal plate of area A and held a distance apart d,we fill the region between the plate with a material with conductivity s and permitivity e.what is the inductance,resistance and capasitance of this system?

thanks
 
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  • #2
Welcome to PF!

EHT said:
what is the equivalent circuit for a non ideal capasitor?

and if we have a parallel plate capasitor which consist of 2 metal plate of area A and held a distance apart d,we fill the region between the plate with a material with conductivity s and permitivity e.what is the inductance,resistance and capasitance of this system?

Hi EHT! Welcome to PF! :smile:

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 
  • #3
A partial list of the so-called elementry circuit elements, that I recall, are: voltage source, current source, R, L, C, and gyristor. --don't know much about this topic. The voltage source can be scratched if we can replace it with an infinite capacitor with initial charge. Same argument goes for the current source, replaced with an L-->infinity inductor and finite initial current.

The question, as you stated it is very broad. Can there be hysteresis? Can C be a function of time? Is C a monotonic function of V or I?

The most general condition I can think of off hand (ignoring probabliliy functions) is that C is a relation on t, V and I.
 
Last edited:
  • #4
Your description suggests a device that is linear. In what way is it non-linear?
 
  • #5
marcusl said:
Your description suggests a device that is linear. In what way is it non-linear?

Yeah, I missed that, marcus.

The first approximation of a capacitor is an ideal capacitor with a series resistor. This is quoted in the data sheets are ESR, effective series resistance. The leakage current, considered as a function of voltage, models as a resistor in parallel with the ideal capacitor. At high enough frequencies the lead lengths can be inductive and modeled with the addition of a series inductor.

Memory effects are nonlinear.
 

Related to Equivalent circuit for non linear capasitor

1. What is an equivalent circuit for a non-linear capacitor?

An equivalent circuit for a non-linear capacitor is a simplified model that represents the behavior of a non-linear capacitor in an electrical circuit. It consists of a combination of linear elements such as resistors, inductors, and capacitors, along with non-linear elements like diodes or transistors.

2. How is an equivalent circuit for a non-linear capacitor different from a linear capacitor circuit?

An equivalent circuit for a non-linear capacitor is different from a linear capacitor circuit in that it takes into account the non-linear behavior of the capacitor. In a linear capacitor circuit, the capacitance remains constant regardless of the applied voltage, whereas in a non-linear capacitor circuit, the capacitance changes with the applied voltage.

3. What factors affect the equivalent circuit of a non-linear capacitor?

The equivalent circuit of a non-linear capacitor is affected by the type of non-linear element used, the voltage and frequency of the input signal, and the physical characteristics of the capacitor such as its material, size, and geometry.

4. Why is it important to model non-linear capacitors with an equivalent circuit?

Modelling non-linear capacitors with an equivalent circuit allows for a better understanding of their behavior in a circuit and allows for accurate predictions of their performance. It also simplifies the analysis and design process of complex circuits that contain non-linear capacitors.

5. Can an equivalent circuit accurately represent the behavior of a non-linear capacitor?

No, an equivalent circuit is an approximation of the behavior of a non-linear capacitor and may not be completely accurate. However, it can provide a good estimation of the capacitor's behavior under normal operating conditions and can aid in circuit analysis and design.

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