Simple Y-parameter (admittance-parameter) matrix problem?

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In summary, the Y-parameter matrix problem involves using the general form of Y-parameters to calculate the input and output currents of two networks and add the individual admittance parameters. The Y11 parameter can be calculated by adding a 1V source on the left side and short-circuiting the right side of the network.
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simple Y-parameter (admittance-parameter) matrix problem??

Homework Statement


vdctiv.png



Homework Equations


general form of Y-parameter is
[I1]=[Y11 Y12][V1]
[I2]=[Y21 Y22][V2]

The Attempt at a Solution


i think i was confused what exactly this problem asked for. the general equation for I1 for instance you would add the variables, so I1=Y11(V1)+Y12(V2). to calculate Y11 also, you would add a 1V source on the left side, and short-circuit the right side. so I'm pretty sure it would be Y11=([itex]\frac{1}{Ya}[/itex]+[itex]\frac{1}{Yb}[/itex])s. since the only signs i saw in these equations were '+' i put the 1st choice (A) as my answer.
 
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A is the answer.

The idea is that, for two networks, the input currents i1A and i11B are added and so are the output currents i2A and i2B . This implies that the individual admittance parameters yij for A and B are also added.
 

What is a Simple Y-parameter matrix problem?

A Simple Y-parameter matrix problem is a mathematical model used to represent the behavior of a linear electrical network. It consists of a matrix of admittance parameters that describe the relationship between the input and output variables of the network.

What is the purpose of a Simple Y-parameter matrix problem?

The purpose of a Simple Y-parameter matrix problem is to analyze the performance of a linear electrical network and predict the behavior of the network under different conditions. It is commonly used in the design and analysis of electronic circuits and systems.

How is a Simple Y-parameter matrix problem solved?

A Simple Y-parameter matrix problem is solved by using mathematical techniques, such as matrix algebra, to manipulate the parameters and equations in the matrix. This allows for the determination of the input-output relationship of the network and the calculation of important parameters such as voltage gain, current gain, and impedance.

What are the advantages of using a Simple Y-parameter matrix problem?

One of the main advantages of using a Simple Y-parameter matrix problem is its simplicity and ease of use. It allows for a quick and accurate analysis of linear electrical networks, making it a valuable tool in circuit design and troubleshooting. Additionally, it can be easily incorporated into computer-aided design tools for more complex systems.

What are some real-world applications of a Simple Y-parameter matrix problem?

A Simple Y-parameter matrix problem has a wide range of applications, including in the design of electronic circuits, amplifiers, filters, and transmission lines. It is also used in the analysis of communication systems, power systems, and control systems. Additionally, it is an important tool in the testing and characterization of electronic components and devices.

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