Questions tagged [lumped]

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Different 50Ohm-matched condition for different length of metamaterial waveguide

Based on coplanar waveguide, I am designing a meta-material waveguide by inserting lumped-element inductors along the center line. Here are some parameters: Target frequency: 10-20 GHz Size of lump ...
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2answers
31 views

Lumped Circuit Abstraction extreme cases

When using lumped circuit abstraction, if we consider two ends of a voltage source connected with ideal wire KVL won't hold; and also if we put two current sources opposite two each other, then the ...
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2answers
64 views

Why does lumped discipline not hold as dimension approaches operating signal wavelength?

I'm studying some basic introduction to the lumped matter discipline on my own. I completely understand where the first two constraints come from (i.e. lumped matter can only interact through their ...
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2answers
101 views

Design a passive amplifier

I am trying to increase the amplitude of my generated electrical signal by a passive amplifier. I have seen so many complex RLC circuits. But I have limited space for design, therefore, can I use a ...
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2answers
115 views

Lumped parameter vs transmission line model for a piece of cable

I would like to model a piece of cable (less than 5m) over a frequency range of DC to \$1\mathrm{MHz}\$. I am however doubting if I can approximate it by a lumped parameter model (mainly at \$1\mathrm{...
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0answers
38 views

how to add 180 degree loads and 90 degree loads with single 90 degree coupler to get phase shift of 360 degree?

the first image shows the schematic of 90 degree(-270) coupler which has been designed by using inductor and capacitors. the second image shows the schematic of 90 degree loads. the second image ...
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1answer
228 views

Difference between a circuit developed using lumped elements and microstrip elements (transmission line)

As the title implies, what is the difference between lumped elements and microstrip elements? According to my understanding lumped elements are discrete elements but I don't understand what is the ...
1
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0answers
119 views

How do I set up a lumped element equivalent circuit?

In the treatment of metamaterials, optical problems and antennas, very often a simplified model is extracted by considering only lumped elements. In some cases this is fairly obvious, for example in ...
2
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1answer
2k views

Lumped-element delay lines using LC circuit

I was told that the above circuit is used to delay signal. The time constant per element is t = sqrt(LC). The expression was provided by the book I'm reading, but it did not include how the time ...
0
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1answer
77 views

Why the circuit theory works well when a lumped-parameter system has dimensions of one tenth of the electromagnetic wavelength?

Why the circuit theory works well when a lumped-parameter system has dimensions of one tenth of the electromagnetic wavelength? Why not one third or any other ratio of the electromagnetic wavelength? ...
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1answer
489 views

How does short length of transmission line approximate to a wire?

Suppose I have a transmission line of length \$L\$ with characteristic impedance \$Z_0\$ and load voltage \$Z_L\$. If it is connected to a ideal sinusoidal voltage source \$V_s\$, then the voltage ...
1
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1answer
938 views

Explanation of lumped matter discipline

There are a total of three postulates of lumped matter discipline. Rate of change of magnetic flux outside the conductor is zero. The change of chrage inside a conductor is zero. Signal timescales ...
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5answers
825 views

Why don't we talk about a signal reflection when we treat a lumped element model of a circuit?

I don't clearly understand why I have never seen a talk about a signal reflection in a lumped element model. When there is a transmission line connected to circuits A (signal emitter) and B (signal ...
1
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1answer
383 views

How is an inductor a lumped element?

While learning the Lumped Circuit Abstraction (and the Lumped elements discipline), an inductor was considered a lumped element. But I fail to see how it fits the requirements of LCA: For it, the \$\...
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1answer
717 views

Questions and confusions on transmission line theory and lumped element model

I want to model a simple signal transmission system by considering it as travelling through a transmission line. Here is the system: The original signal generated by the transducer is 0 to 10V step ...