The correct answer is A) high series resistance. To limit the current flow through a DC voltmeter to as low a value as possible, the moving coil circuit is provided with a high series resistance. This high series resistance ensures that only a small fraction of the total circuit current flows through the voltmeter, minimizing the loading effect on the circuit being measured and providing a more accurate voltage reading. The other options are incorrect because: B) high parallel resistance would not limit the current flow through the voltmeter, C) a series inductor is not used for this purpose, and D) an external shunt is not necessary, as the high series resistance achieves the desired current limiting.