Consider the circuit shown below which is a simplified model of a source delivering ap- proximately 2.5 MW to a load. Energy is carried between the source and the load by two conductors that each have resistance of 8 2. A bird lands on the "upper" conductor about three-quarters of the way toward the load so that there is 6 12 between the bird and the source and there is 2 52 between the bird and the load. (a) Using the circuit as drawn, find the voltage at the bird's head. (b) The bird and the upper conductor form an inverted T which can be converted to a A. Redraw the circuit after performing this conversion. (c) The conversion effectively makes the bird's body disappear, but the top of its head remains right where it was. Using the A arrangement of resistors, show that the voltage at the top of the bird's head is the same as with the T arrangement. Head 50 kV Bird 692 www www 500 £2 892 www 292 Load <1kQ

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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Consider the circuit shown below which is a simplified model of a source delivering ap-
proximately 2.5 MW to a load. Energy is carried between the source and the load by two
conductors that each have resistance of 8 2. A bird lands on the "upper" conductor about
three-quarters of the way toward the load so that there is 6 2 between the bird and the source
and there is 2 2 between the bird and the load.
(a) Using the circuit as drawn, find the voltage at the bird's head.
(b) The bird and the upper conductor form an inverted T which can be converted to a A.
Redraw the circuit after performing this conversion.
(c) The conversion effectively makes the bird's body disappear, but the top of its head
remains right where it was. Using the A arrangement of resistors, show that the voltage
at the top of the bird's head is the same as with the T arrangement.
Head
50 kV
Bird
69
www
www
892
500 £2
292
www
www
Load
1 kg
Transcribed Image Text:Consider the circuit shown below which is a simplified model of a source delivering ap- proximately 2.5 MW to a load. Energy is carried between the source and the load by two conductors that each have resistance of 8 2. A bird lands on the "upper" conductor about three-quarters of the way toward the load so that there is 6 2 between the bird and the source and there is 2 2 between the bird and the load. (a) Using the circuit as drawn, find the voltage at the bird's head. (b) The bird and the upper conductor form an inverted T which can be converted to a A. Redraw the circuit after performing this conversion. (c) The conversion effectively makes the bird's body disappear, but the top of its head remains right where it was. Using the A arrangement of resistors, show that the voltage at the top of the bird's head is the same as with the T arrangement. Head 50 kV Bird 69 www www 892 500 £2 292 www www Load 1 kg
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