A CAT6 cable has 4 balanced pairs, each at 100 Ohm. I'm wondering if I can make a 50-Ohm coax unbalanced input and split the power to 4x 100-Ohm balanced output (and then merge it back together the same way on the other side).
How would you design a power divider with a 50-Ohm input and 100-Ohm outputs? This is not an "uneven-power" splitter: we want the power split to be the equal, just change the port impedances and switch from unbalanced to balanced (and back on the other end of the cable).
- Can a power splitter like this be realized without a balun? There exist microstrip unbalanced-to-balanced power splitters without an obvious balun, but can it be done with lumped elements?
- How do you generalize an N-Way splitter where the input impedance is different from the output impedance in terms of R/L/C values for the circuit? (but maybe start with a 2- or 3-port example?)