please solve this question correctly in 80 mins . please mention all subparts clearly i will give you positive feedback

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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please solve this question correctly in 80 mins . please mention all subparts clearly i will give you positive feedback 

 

Question 2: Steady-State Analysis
Given the circuit below which include a linear transformer model.
XM
Rp
Rs
R;
X,
|Z. = R, + jX,
Source
Transformer
Transmission line
Load
Neglect the compensation reactance X connected in parallel with the load ZL in Tasks a) to d).
a) Find the expressions for the two differential equations that show the relationship between V,,I,
and IL.
In the circuit given in figure, the following parameters are given
R, = 50, X, = 10n, R, = 102, X, = 202, XM = 50, Rr = 6N, XT = 80
%3D
%3D
Vs = 220e0v, f = 50HZ
b) For the circuit shown in above, determine the load impedance ZL that results in maximum
average power transferred to the load.
c) Calculate the currents I, and IL. Use the impedance ZL obtained in b). [If you are not able to
find the value of 2ZL in task b), use ZL = 170 – j26.]
%3D
d) Find the load power and load power factor.
e) Use the parallel compensation reactance as shown in figure above. Find the value of the
reactance that make the load power factor to unity.
Transcribed Image Text:Question 2: Steady-State Analysis Given the circuit below which include a linear transformer model. XM Rp Rs R; X, |Z. = R, + jX, Source Transformer Transmission line Load Neglect the compensation reactance X connected in parallel with the load ZL in Tasks a) to d). a) Find the expressions for the two differential equations that show the relationship between V,,I, and IL. In the circuit given in figure, the following parameters are given R, = 50, X, = 10n, R, = 102, X, = 202, XM = 50, Rr = 6N, XT = 80 %3D %3D Vs = 220e0v, f = 50HZ b) For the circuit shown in above, determine the load impedance ZL that results in maximum average power transferred to the load. c) Calculate the currents I, and IL. Use the impedance ZL obtained in b). [If you are not able to find the value of 2ZL in task b), use ZL = 170 – j26.] %3D d) Find the load power and load power factor. e) Use the parallel compensation reactance as shown in figure above. Find the value of the reactance that make the load power factor to unity.
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