Can an electromagnetic wave's interference with an electric circuit increase current? Radio antennas work on this principle but it is based on frequency resonance,does resonance matters and can e.m waves create current in a d.c circuit.
 A: Perhaps better asked in engineering SE?
All circuits are radio antennas.   They will receive an alternating current, but usually it will be an off-resonance effect, and therefore small.   Most electronic products have circuits on the scale of centimeters, so they might resonate with EM waves of 4X longer frequency (roughly 10cm.)   The AC effects will become significant for centimeter waves:  cell towers and microwave oven leakage.  There may also be DC effects, if the induced radio-frequency signals exceed about one-half volt, which turns on the diode junctions inside transistors.
In Berlin, gardeners were keeping their plants alive by hanging fluorescent lamps above, which would be lit up capacitively by nearby cell towers (or perhaps lit by the city FM stations in VHF band.)  It takes RF e-fields of kilovolt/meter to light an unconnected fluorescent tube.  The transmitter-owners complained about the lost wattage, and the authorities banned this inventive vegetable-growing technique!
