Usually you add the transistor to flip the polarity of the signal, ie, you want active to be high instead (or whatever it is).? That usually means you bought the wrong sensor.
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The 200mA would be referring to how much load the sensor can handle when active, that’s for when you want to switch a relay or something directly from it.? Adding a transistor in that case makes sense if the relay draws more that 200mA, for the logic high/low a Gecko needs it doesn’t matter.
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The Geckos have opto-isolated inputs (IIRC) and they need a bit more current that a straight I/O pin, but probably under 10mA.
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Without knowing what sensor you have, 7.5v sounds a bit low.? Yeah the spec sheet says it’ll run at that, but I’ve found the higher the voltage the better.? Most go up to 36v.? The Gecko should have a 12v output for sensors, run it off that.? Running it from the same power supply tends to make things happier.
I've watched a video that suggests that I need to run a further wire from the Pin 10 and Pin 11 connections to the Brown V+ Wires of the sensors using a transistor. The size I'm not sure yet though the sensors are rated for a maximum of 300 mA's. So would adding a connection with a 500k resistor make this system work using this wiring order?