b. Obtain the equation for power dissipated on the load resistor as a function of load resistor value R1 by applying any circuit analysis technique (Loop current analysis, Node voltage analysis, etc.)

Power System Analysis and Design (MindTap Course List)
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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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1. The circuit with a load resistor element R1 to be inserted into the terminals A and B is given as below.
R1
100 kN
A
1.5 V
R2
56 kN
RL
B
a. Determine the value of a load resistor connected between terminals A and B in the Figure for maximum
power transfer to the load resistor by apply ing Thevenin’s Theorem.
b. Obtain the equation for power dissipated on the load resistor as a function of load resistor value R1 by
applying any circuit analysis technique (Loop curent analysis, Node voltage analysis, etc.)
c. Prepare a set of data Pz vs. R1 with the help of the equation obtained in the part b. Set 10 arbitrarily chosen
value of R. which are less than the determined value of R1 in part a. and set 10 arbitrarily chosen value of
R1 which are greater than the determined value of R1 in part a. In total, you will get a set of 21 data for PL
vs. Rį including the value obtained from part a.
d. Draw the Pi vs. R1 graph by using your dataset constructed in part c. in order to determine graphically the
value of R1 for maximum power transfer to the resistor.
Note: You can use Excel, Matlab, Multisim or any other software that you are familiar with during your
homework study.
Transcribed Image Text:1. The circuit with a load resistor element R1 to be inserted into the terminals A and B is given as below. R1 100 kN A 1.5 V R2 56 kN RL B a. Determine the value of a load resistor connected between terminals A and B in the Figure for maximum power transfer to the load resistor by apply ing Thevenin’s Theorem. b. Obtain the equation for power dissipated on the load resistor as a function of load resistor value R1 by applying any circuit analysis technique (Loop curent analysis, Node voltage analysis, etc.) c. Prepare a set of data Pz vs. R1 with the help of the equation obtained in the part b. Set 10 arbitrarily chosen value of R. which are less than the determined value of R1 in part a. and set 10 arbitrarily chosen value of R1 which are greater than the determined value of R1 in part a. In total, you will get a set of 21 data for PL vs. Rį including the value obtained from part a. d. Draw the Pi vs. R1 graph by using your dataset constructed in part c. in order to determine graphically the value of R1 for maximum power transfer to the resistor. Note: You can use Excel, Matlab, Multisim or any other software that you are familiar with during your homework study.
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