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Inrush to hold current ratio = 3.8 / 0.13 = 29.2
The relay was tested with the BK Precision power supply, and drew 1.6W when holding the contact. With a driving voltage of 12V, we get a hold current of 1.6W / 12V = 0.133A
G9EJ-1-DC12: https://www.mouser.ca/datasheet/2/307/en-g9ej-1-e-371299.pdf
Inrush Current = Coil Drive Voltage / Coil Resistance = 12V / 120Ohm = 0.1A
The datasheet does not give a value for the hold current, so we will go with a similar ratio to the EV200HAANA as our minimum hold current, and add a safety factor.
Hold Current = 0.1A / 29.2 = 3.5mA.
This seems extremely low, so lets go with a value of around 25mA - roughly 1/4 of the inrush current.
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