Kirchhoff's Law Violations: Transmission Line Equivalent Circuit

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In summary, Kirchhoff's voltage law and current law are only valid when the wavelength (λ) is much greater than the length of the transmission line, or for very small lengths compared to the wavelength. Other circumstances where these laws may not be valid include when time varying magnetic fields create electric fields or when there is dispersion of a ball of charge inside a conducting medium. In these cases, an equivalent circuit for the transmission line must be used.
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duniltmg1
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Discuss under what circumstances kirchhoffs voltage law and kirchhoffs cureent law are no longer valid, and give an equivalent circuit for the tranmission line in those circumstances?
 

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I have found out that kirchhoffs voltage law and krichoff's current law are only vaild when the wavelength (λ) << L.
are there any other circumstances??
 
  • #3
Discuss under what circumstances kirchhoffs voltage law and kirchhoffs cureent law are no longer valid, and give an equivalent circuit for the tranmission line in those circumstances?

a) it is only valid when the transmission line's length L is very small comparing to the wavelength (λ) of the wave passing through the transmission line.
 
  • #4
KVL is invalid when time varying magnetic filed creates Electric Field.
KCL is invalid when Divergence of J is created by dispersion of a ball of charge placed inside a conducting medium.
 
  • #5
(Merged 2 threads...)
 
  • #6
duniltmg1 said:
I have found out that kirchhoffs voltage law and krichoff's current law are only vaild when the wavelength (λ) << L.
are there any other circumstances??

If L is the length of the wire, then this is not correct.

wavelength (λ) >> L.
The wavelength is has to be much greater than the length of the wires or there may be transmission line effects or even antenna effects where power is radiated and lost from the circuit.
 

FAQ: Kirchhoff's Law Violations: Transmission Line Equivalent Circuit

What are Kirchhoff's Laws?

Kirchhoff's Laws are fundamental principles in electrical circuit analysis that describe the flow of current and voltage in a circuit. The first law, also known as Kirchhoff's Current Law, states that the sum of currents entering a node (or junction) must equal the sum of currents leaving that node. The second law, known as Kirchhoff's Voltage Law, states that the sum of voltages around a closed loop must be equal to zero.

What is a transmission line equivalent circuit?

A transmission line equivalent circuit is a simplified representation of a transmission line that allows for easier analysis and modeling. It includes lumped elements such as resistors, inductors, and capacitors, that represent the distributed properties of the transmission line. This model is used to calculate the electrical characteristics of the transmission line, such as impedance, voltage, and current.

What are some common violations of Kirchhoff's Laws in transmission line equivalent circuits?

Some of the most common violations of Kirchhoff's Laws in transmission line equivalent circuits include the presence of stray capacitance and inductance, mismatched impedances, and reflections. These violations can lead to inaccurate calculations and affect the performance of the transmission line.

How can I identify and correct Kirchhoff's Law violations in a transmission line equivalent circuit?

To identify Kirchhoff's Law violations, you can use simulation software or perform calculations using the transmission line equivalent circuit. If the calculated values do not match the expected values, it may indicate a violation. To correct these violations, you can adjust the values of the lumped elements in the equivalent circuit or make modifications to the physical layout of the transmission line.

Why is it important to ensure that Kirchhoff's Laws are not violated in a transmission line equivalent circuit?

Kirchhoff's Laws are fundamental principles in circuit analysis, and violating them can lead to incorrect calculations and inaccurate results. In a transmission line, violating these laws can also affect the performance of the line and lead to signal degradation and loss. Therefore, it is crucial to ensure that Kirchhoff's Laws are followed in the equivalent circuit to accurately model and predict the behavior of the transmission line.

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