Because the capacitor is needed to give a PUNCH to the coil. The solar battery alone is not powerful enough. Therefore it needs the capacitance to build up a reservoir of power so that when the board pulses the energy stored in the cap is released, giving a much bigger "Punch" of power.Without the capacitor on the mysterious board - I can't obtain in the same conditions DC current or AC current (refering to the output coil 2. ) Strange. Why?