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tlv2374 output 2.5V at float input

Other Parts Discussed in Thread: TLV2374

Hi  Team,

I use TLV2374 as a  G=1 forward amplifier. I need the maximum input impedance, so I don't set a input resistor in the + input. Power supply is 5V.

When the input is floating, the output will be 2.5V. Could you tell me why it is 2.5V?

Because I want the maximum input impedance, do we have any way to meet that requirement, to set the output as 0 when the input is floating?