I have to disagree, in order for the board to supply 30 watts to the coil, the battery would have to supply the board with 30 watts, the only difference from resistance might be a slight difference in copper losses due to the board drawing higher current, but it shouldn't make much of a differenceBecause watts applied to the atty are not the same as watt/seconds (or joules) drawn from the battery. As ohms increase downstream of the board, so must voltage to make the same watts. As voltage increases downstream of the board, current must increase upstream of the board because battery voltage is (semi) fixed by charge state. And the faster current drawn from the battery increases, the faster it empties.