Electrical and Electronic Principles: Two-Port Networks Assignment

This document provides a detailed solution to the Electrical and Electronic Principles TMA 2 assignment, focusing on Two-Port Networks. The solution covers various aspects, including Z transforms, the analysis of transmission lines, and the application of T networks. It includes calculations for input impedance, phase changes, and the determination of secondary coefficients. Furthermore, the document explores distortion-less and lossless lines, calculates insertion loss using ABCD parameters, and analyzes a 50Hz high voltage transmission line. The solution also encompasses the modelling of lines using T circuits, and the calculation of capacitance, resistance, and inductance values. The document concludes with the reconstruction of an RLC circuit. This comprehensive solution is designed to aid students in understanding and solving complex electrical engineering problems.

1)
The following Z transform mathematical expression has shown below.
Determine the value of while has shown in below figure 1-a.
Determine the value of while has shown in below figure 1-b.
Determine the value of while has shown in below figure 1-c.

The equation number 2 put into equation number 1, we get.
Determine the value of while has shown in below figure 1-d.
The equation number 4 put into equation number 3, we get.
Hence, the following Z transform mathematical expression has shown below.

2)
a
The following data has given below.
Length l of 0.4
The following mathematical expression has shown below.
Determine the phase change
b)
The following data has given below.
The following mathematical expression of the lossless transmission line has shown below.
Determine the input impedance to the line.

3)
a)
DISTORTION LESS LINE:
The distortion less line states that attenuation has constant ( ) and its frequency independent
and phase has constant ( ) and its dependence on frequency. The mathematical expression has
shown below.
LOSSLESS LINE:
A lossless line has defined as that no line resistance and dielectric loss of line has zero.
b)
The following data has given below.
Determine the secondary coefficient

4)
The following T network has shown in figure 4.
The following ABCD parameter equation has shown below.

Determine the insertion loss of the T network.
5)
a)
The following 50Hz high voltage transmission line has a relation between the sending end
receiving end voltage and current shown in the below equation.
The following given data has shown below.

Determine the value of , while open circuit the receiving end than at receiving
end.
Calculate the power observed from the supply.
b)
The following line modelled by the T circuit as shown in figure 5.

We apply KVL to load side, we get.
The current flowing through A to B. we get.
We apply KCL at node A, we get.
Now put equation 1 into the above expression.
Determine the capacitance value.
We apply KVL at sending end side of the circuit, we get.

Determine the value of resistance.
Determine the value of inductance.
The following reconstruct RLC circuit has shown in below figure 5a.