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The opamp is configured as an inverting amplifier. So the opamp output voltage, for a negative input will be positive. The output voltage will be such that the voltage at the negative input - the junstion of the resistor divider - will be 0V (i.e. the same as the +ve input).
Thanks for the explanation, I now understand the theory, BUT will the opamp be damaged by the negative voltage at the input? The datasheet states that, when using a single power supply, the opamp can't tolerate voltages lower than -0.3V.
Is the negative feedback loop that fast? If, for example, it generates +0.5V at the output then it means it has -0.5V at the input... will that damage it?