Equivalent capacitance for infinite ladder

In summary, the "Equivalent capacitance for infinite ladder" is the total capacitance of an infinite ladder circuit, which is made up of an infinite number of identical capacitors connected in a series and parallel combination. It is an important concept because it simplifies complex circuits and allows for more efficient calculation of total capacitance. The formula for calculating equivalent capacitance is Ceq = C/2, and it can be greater than the capacitance of individual capacitors in a parallel combination. This concept has various real-world applications, such as in electrical filters, signal processing circuits, and electronic devices.
  • #1
anand raj
17
0

Homework Statement


the effective capacitance across AB of the infinite ladder shown in the figure
RDE_zps5a832bc3.jpg



The Attempt at a Solution


your_zps545e7a14.jpg
 
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  • #2
Welcome to PF!

Your attempt is correct so far. Denote Ceq on the right by X and determine the input capacitance Ceq: You have X and C connected in series, and C again, connected parallel with X and C.

ehild
 

What is "Equivalent capacitance for infinite ladder"?

The "Equivalent capacitance for infinite ladder" refers to the calculation of the total capacitance of an infinite ladder circuit, which is made up of an infinite number of identical capacitors connected in a series and parallel combination.

Why is the concept of equivalent capacitance important?

The concept of equivalent capacitance is important because it allows us to simplify complex circuits and calculate the total capacitance in a more efficient manner. It also helps in understanding the behavior of circuits and designing them for specific applications.

What is the formula for calculating equivalent capacitance for infinite ladder?

The formula for calculating equivalent capacitance for infinite ladder is given by: Ceq = C/2, where C is the capacitance of each individual capacitor in the circuit. This formula applies when the capacitors are connected in a series and parallel combination.

Can the equivalent capacitance for infinite ladder be greater than the capacitance of individual capacitors?

Yes, it is possible for the equivalent capacitance for infinite ladder to be greater than the capacitance of individual capacitors. This can happen when the capacitors are connected in a parallel combination, where the equivalent capacitance is equal to the sum of individual capacitances.

What are some real-world applications of equivalent capacitance for infinite ladder?

Equivalent capacitance for infinite ladder has various real-world applications, such as in the design of electrical filters, signal processing circuits, and electrical power transmission systems. It is also used in electronic devices, such as radios, televisions, and computers.

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