If you only want to avoid damage, measure the DC resistance and use the formula for power. You'll have to use some judgment as to how much power the unit could safely dispose of, but you can get in the ball park.
Example: If an inductor is about the same size as a 1W resistor, and if it measures 2 ohms. I would guess that it could pass ( I = sqrt(P/R) ) where P is 1, R is 2, and therefore I would guess that the risk of damage is low if I keep the current well below sqrt(1/2) or 0.7 amperes.
If the wires are visible, measure their diameter and look it up in a table.
Of course as MikeML said, even if it doesn't burn up it may not work.