Use the data of Problem 3.35 and Figure P3.35 and the principle of superposition to determine .

The circuit shown in Figure P3.35 is a simplified DC version of an AC three-phase wye-wye (Y-Y) electrical distribution system commonly used to supply industrial loads, particularly rotating machines.



VS1 = VS2 = VS3 = 170 V

Rw1 = Rw2 = Rw3 = 0.7?

R1 = 1.9? R2 = 2.3?

R3 = 11?



a. Determine the number of non-reference nodes.

b. Determine the number of unknown node voltages.

c. Compute v'1, v'2, v'3, and v’n.



Notice that once v’n is known the other unknown node voltages can be computed directly by voltage division.


Known quantities:



Find:

The voltage at vn’.



Analysis:

If we know the current through R1 then we can calculate the voltage drop from v1 to vn’:



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