A two-port network is represented by a unsymmetrical T-network. The components of the unsymmetrical T-network at a particular frequency are Z₁ =-j5002; Z₂ = 1802; Y = j0.012. A generator with an internal resistance R, is to be connected to one terminal of Z, in order to supply a load resistance R, which is connected to a terminal of Z₂. a) Determine the generator internal resistance R and load resistance R, for which the circuit will give correct matching. b) Calculate the phase shift between the generator terminal voltage, V,, and load voltage, V₂, when the generator and load resistance R, are connected to the T-network. State whether V, lags or leads V₂.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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A two-port network is represented by a unsymmetrical T-network. The components of the
unsymmetrical T-network at a particular frequency are Z₁ =-j5002; Z₂ = 1800; Y = 0.0102¹.
A generator with an internal resistance R is to be connected to one terminal of Z, in order to
supply a load resistance R, which is connected to a terminal of Z₂.
a) Determine the generator internal resistance R and load resistance R, for which the circuit
will give correct matching.
b)
Calculate the phase shift between the generator terminal voltage, V₁, and load voltage, V₂.
when the generator and load resistance R, are connected to the T-network. State
whether V, lags or leads V₂.
Transcribed Image Text:A two-port network is represented by a unsymmetrical T-network. The components of the unsymmetrical T-network at a particular frequency are Z₁ =-j5002; Z₂ = 1800; Y = 0.0102¹. A generator with an internal resistance R is to be connected to one terminal of Z, in order to supply a load resistance R, which is connected to a terminal of Z₂. a) Determine the generator internal resistance R and load resistance R, for which the circuit will give correct matching. b) Calculate the phase shift between the generator terminal voltage, V₁, and load voltage, V₂. when the generator and load resistance R, are connected to the T-network. State whether V, lags or leads V₂.
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