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Wires go between Boston, Chicago, and Seattle. Those cities are at voltages xB, xC, xS
Chapter 1, Problem 1.6.61(choose chapter or problem)
Wires go between Boston, Chicago, and Seattle. Those cities are at voltages xB, xC, xS. With unit resistances between cities, the three currents are in y: y = Ax is yBC yCS yBS = 1 1 0 0 1 1 1 0 1 xB xC xS (a) Find the total currents AT y out of the three cities. (b) Verify that (Ax)T y agrees with x T (ATy)six terms in both.
Questions & Answers
QUESTION:
Wires go between Boston, Chicago, and Seattle. Those cities are at voltages xB, xC, xS. With unit resistances between cities, the three currents are in y: y = Ax is yBC yCS yBS = 1 1 0 0 1 1 1 0 1 xB xC xS (a) Find the total currents AT y out of the three cities. (b) Verify that (Ax)T y agrees with x T (ATy)six terms in both.
ANSWER:Step 1 of 3
Given that the voltages of the cities are . With unit resistances between the cities, the three currents are in y given as
With unit resistances between the cities, the three currents are in y given as
as
Here the matrix A is
The transpose of A is