Impedance Triangles

Current Uses Impedance Magnitude

Current magnitude uses the full impedance magnitude, not just one triangle leg.

The current denominator is the impedance magnitude, not one leg. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Current uses the impedance magnitude

Voltage 10 volts over impedance magnitude 5 ohms gives current 2 amperes.

I=V∣Z∣=105=2I = {V \over |Z|} = {10\over 5} = 2
Current from impedanceThe current value is checked from voltage and impedance.RXZ

The denominator is the full magnitude

Using only the 3 ohm resistance would not match the checked current.

∣Z∣=5 Ω,I=2 A|Z|=5\ \Omega,\quad I=2\ A
Full impedance denominatorThe checked vector is the denominator.RXZ