What is the output voltage of LM2682 when the input is a) floating or b) connected to GND and there is a 10 kohm pull-up resistor on the output?
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Assuming you have 10kohm pull-up resistor between output and ground, the output will be pulled to 0V in both cases. (Vin floating or tied to GND)
Without pull-up, output capacitor is holding the output voltage unless it is discharged to somewhere.(Self-discharge if nothing else)