AC relay coil current calculation
The key is what R and X are at frequency.  R is actually a reflection of energy adsorbed, as noted above will reflect the shading coil and hysteresis losses, eddy current losses, etc.  Again the inductance has all sorts of influences that will not be reflected by an inductance meter.  the shading coil puts a time variable into the measurement.  The overall impedance can best be determined by energizing the relay coil and measuring voltage and current, as suggested above.  How you get the phase angle probably is going to require a scope. A power meter would get you the actual &quot;R&quot; value, but on a relay such a power meter would be pretty small.