Radio feed at 50 ohm
For a symmetrical 50 ohm pi pad, K is 10 raised to the power of attenuation over 20. Shunt resistance is Z times (K+1) divided by (K-1). Series resistance is Z times (K squared minus 1) divided by (2K). At 3 dB, K is about 1.4125, the shunt is about 292 ohm, and the series arm is about 17.6 ohm. At 6 dB the shunt is about 150 ohm and the series arm is about 37.4 ohm. At 10 dB the shunt is about 96.2 ohm and the series arm is about 71.2 ohm. Compare those figures with the bill of materials a plant sends. A 5 percent resistor may miss a tight attenuation tolerance even when the formula is right.