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Op-Amp Integrator vs. Differentiator: Key Differences

By RF Wireless Expert Team

This article compares the integrator op-amp with the differentiator op-amp, highlighting the key differences between these operational amplifier circuits.

Integrator Op-Amp

The operational amplifier functions as an integrator when the feedback resistor is replaced with a capacitor (C), while the input resistor remains unchanged.

integrator op-amp

Figure 1: Inverting Op-Amp Integrator Circuit

The equation for the integrator op-amp is:

Vout=−1RC∫Vin dtV_{out} = -\frac{1}{RC} \int V_{in} \, dt

Where:

  • VinV_{in} is the input voltage to the op-amp.
  • VoutV_{out} is the output voltage from the op-amp.

Differentiator Op-Amp

The operational amplifier functions as a differentiator when the input resistor is replaced with a capacitor (C), while the feedback resistor remains unchanged.

differentiator op-amp

Figure 2: Inverting Op-Amp Differentiator Circuit

The equation for the differentiator op-amp is:

Vout=−RCdVindtV_{out} = -RC \frac{dV_{in}}{dt}

Where:

  • VinV_{in} is the input voltage to the op-amp.
  • VoutV_{out} is the output voltage from the op-amp.

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