Reactance Ratios Come From the Triangle - Electronic Circuits VIII: Phase, Impedance, and Active Filters Step by Step

The lesson uses exact ratios instead of a signed complex phase angle. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Reactance ratio is exact

The reactance-to-resistance ratio is 4/3.

{X \over R} = {4\over 3}

Leg-to-magnitude ratios are exact

The leg ratios are 3/5 and 4/5; no decimal phase angle is claimed.

{R \over |Z|}={3\over 5},\quad {X \over |Z|}={4\over 5}