Voltage divider

SPQR

Joined Nov 4, 2011
379
Caspita!
What a problem!
I've been thinking about this overnight, and I believe that the purpose of this exercise is to "merge" a series of reactances together.
But what is killing me is the two horizontal capacitors.

So I'll redraw the circuit in terms of reactances=resistances (I'll use "R" for both) in an AC circuit, and merge all othe equivalent resistances/reactances:

_____|
____RT
_____|
_____|
__________
|_________|
Rg2_______Rg1
|_________|
|-----C-----|
|_________|
|_________|
RL________RR
|_________|
|_________|
|-----C-----|
|_________|
|_________|
RL2_______RL1
|_________|
|_________|
_____|

So the RL and RR are both the same and are the sum of the resistances and reactances for each arm.

The flow of current through each arm doesn't have much to do with that central "square of C-RL-C-RR.

So the current is going to be controlled by the ratio of RL2/RL1 and RG2/RG1.

But what kills me is the two "C"s in the middle.
I'm not sure how to handle those.

If I had to bet, this "complex" equation boils down to a much simpler equation with many of the variables cancelling out.

Let's get some other input.
 
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