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During setting the speed of ATV61 from the o/p signal(0-10V)of a flow meter, what should be done to give an inversely proportional relation (i.e:when the signal is 0V,it sets the speed to the max)?

First. you need to connect the analogue signal to the analogue input channel 1 ( AI1 ).
 Then through the I/O configuration menu:
1. Set U1L1 ( AI1 min value ) to 10.0V
2. Set U1H1 ( AI1 max value) to 0 V
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