I have a circuit that has a manual potentiometer which I would like to replace with some circuit that I can control from a microcontroller.

How can I design a circuit that will exhibit the same properties at the potentiometer would? (i.e. have the same resistive range).

Thanks.

 

Some companies, such as Maxim, make chips that you can program with SPI interface to microcontroller that emulate a potentiometer. They are limited on voltage, but most common control and signal voltages should be supported.

Depending on what circuit you are interfacing to, you could have a DAC
on your microcontroller output a voltage with a series resistor to
emulate some potentiometer impedance.

KEJR