Impedances in a 5 element circuit

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gimak
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Homework Statement


Circuit diagram of five complex impedances Z1 to Z5 arranged as a bridge between an input current I and output current I, with branch currents I1 to I5 labelled on the wires.

Screenshot of a textbook page of problems on complex impedance: parts b and c of problem 18, and problem 19 with parts a to c, followed by the start of problem 20.


Just help me with 18 b.

Homework Equations


V1 = c1I1Z1. Same for V2,3,45. V = V1+V2+V3+V4+V5. V/I=Z=impedance.

The Attempt at a Solution


Maybe because of symmetry Z1=Z2 & Z3=Z4. Perhaps Z5 takes out one of the branches? Can I get a hint?
 
gimak said:
I would not assume anything is equal to another unless the problem explicitly says that
I am following up on what YOU said not what the problem statement said
gimak said:
1Maybe because of symmetry Z1=Z2 & Z3=Z4
 
One more thing: I still don't know how they jumped from the 2nd to last line to the last line in this problem (in the answer I mean).