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about OP177 amp how work

how the circuit worhs,how the relationship between output and input is calculated and derived.

  • Vout = Vin × (R5+R4R)/R4;

    This is a composite amplifier , and U2 is first stage as a error amplifier, U1 is second stage for output. 

    The circuits is not stable in practice, it may oscilate.

    As usual I will design a integrator for the first stage, the RC of the integrator will solve the stability of the circuits. Like this: