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Assignment 1

The document contains 6 questions about scattering parameters and ABCD matrices of various circuits. Question 1 asks to find the scattering parameters S11 and S21 of a 3dB attenuator circuit. Question 2 gives a scattering matrix and asks about the properties of the network and return losses. Question 3 provides port voltages and currents and asks to determine the input impedances seen at each port. Question 4 asks for the scattering parameters S11 and S21 of series and shunt load circuits. Question 5 provides a scattering matrix of a 4-port network and asks about its properties and parameters between ports. Question 6 asks to find the ABCD matrix of a given circuit.

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Veda Vyas Potnuru
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89 views2 pages

Assignment 1

The document contains 6 questions about scattering parameters and ABCD matrices of various circuits. Question 1 asks to find the scattering parameters S11 and S21 of a 3dB attenuator circuit. Question 2 gives a scattering matrix and asks about the properties of the network and return losses. Question 3 provides port voltages and currents and asks to determine the input impedances seen at each port. Question 4 asks for the scattering parameters S11 and S21 of series and shunt load circuits. Question 5 provides a scattering matrix of a 4-port network and asks about its properties and parameters between ports. Question 6 asks to find the ABCD matrix of a given circuit.

Uploaded by

Veda Vyas Potnuru
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1.

Find the scattering parameters, (i) S11 and (ii) S21 of the 3dB attenuator (with a 50 Ω
characteristic impedance) circuit shown in Figure:

2. A two-port network is known to have the following scattering matrix:

0.12∠0° 0.75∠ − 45°


[S] =[ ]
0.75∠45° 0.25∠0°

(i) Is the network Lossless? (Yes/No)


(ii) Is the network Reciprocal? (Yes/No)
(iii) If port 2 is terminated with a matched load, what is the return loss seen at port 1?
(iv) If port 2 is terminated with a short circuit, what is the return loss seen at port 1?

3. A two-port network is driven at both ports such that the port voltages and currents have
the following values (Z0 = 50 Ohm):

V1 = 25∠90° I1 = 0.5 ∠90°


V2 = 16∠0° I2 = 0.32∠ − 90°

Determine the input impedance seen at each port:


(1)
(i) 𝑍𝑖𝑛
(2)
(ii) 𝑍𝑖𝑛

4. Find the scattering parameters S11 and S21 for the series and shunt loads shown below.
(i)

(ii)
5. A four-port network has the scattering matrix shown as follows.

(a) Is this network lossless? Yes/No


(b) Is this network reciprocal? Yes/No
(c) What is the return loss at port 1 when all other ports are terminated with
matched loads?
(d) What is the insertion loss and phase delay between ports 2 and 4 when all other
ports are terminated with matched loads?
(e) What is the reflection coefficient seen at port 1 if a short
circuit is placed at the terminal plane of port 3 and all other ports are terminated with
matched loads?

6. Find the ABCD matrix of the circuit shown below:

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