Here's a design that works, using LM324/LM358 Op-Amps for converting a 0-10V input signal to a 4-20 or 0-20mA output. This is based on the classic Howland-current pump scheme.
This is powered at 24V. The Op-Amp used is the LM358. It has also been tested using the LM324 which has 4 Op-Amps. The first Op-amp from the left is used to create an offset for the 4-20 mA option. The 2nd Op-Amp is the Howland pump, which is a differential amplifier that uses a measuring resistor. This design is available at the TI-forums and is largely unchanged excepting for the 3rd amplifier which provides a 0-20V output for driving a small cheap voltmeter module.
In the first stage, a 5V reference voltage is split using a resistance voltage divider to convert the 0-10V input to a corresponding 2-10V output. Next this signal is taken as an input to the Howland pump where the Op-Amp's feedback voltage at its -ve input tries to match the input voltage. This is basically the voltage drop in the measuring resistance of 500 Ohms. Finally, the 3rd stage is a differential amplifier that magnifies the voltage across the measuring resistance to double its value for display on a voltmeter.

This is powered at 24V. The Op-Amp used is the LM358. It has also been tested using the LM324 which has 4 Op-Amps. The first Op-amp from the left is used to create an offset for the 4-20 mA option. The 2nd Op-Amp is the Howland pump, which is a differential amplifier that uses a measuring resistor. This design is available at the TI-forums and is largely unchanged excepting for the 3rd amplifier which provides a 0-20V output for driving a small cheap voltmeter module.
In the first stage, a 5V reference voltage is split using a resistance voltage divider to convert the 0-10V input to a corresponding 2-10V output. Next this signal is taken as an input to the Howland pump where the Op-Amp's feedback voltage at its -ve input tries to match the input voltage. This is basically the voltage drop in the measuring resistance of 500 Ohms. Finally, the 3rd stage is a differential amplifier that magnifies the voltage across the measuring resistance to double its value for display on a voltmeter.


