Opamp: capacitive loading when buffering a Reference
This is a common problem having a common solution:







simulate this circuit &ndash; Schematic created using CircuitLab

The circuit provides direct High Frequency feedback from OPA output to its input via C1. DC feedback goes through R2 R3 and is not affected by C1. R1 prevents shortening of HF feedback by the capacitive load. This design can handle 100 uF of load capacitance or even more.

Some comments on components:


You have to consider input offset / bias current of OPA when choosing R2 R3. The voltage drop created by offset current on parallel connection R2 R3 must be smaller than your allowed error.
C1 can be selected experimentally. Too small values cause the circuit to oscillate. Place at least 2 times larger C2 than the largest one that causes oscillations.
R1 can be 10 to 47 Ohms in your case (10 mA load, right?)