Inverting integrator

Tags

• amplificadores
• Amplifiers and op-amps
• Electronics
• physics
• Electronics formula
• physics formula
• Op-amp

Detail

Explore the idea

Variables

• $v_{\mathrm{in}},v_o$V
• $R,C$Ω, F
• $\tau=RC$s.

Conditions

• Ideal op-amp with negative feedback except comparator; |Vo| < Vsat.

Intuitive explanation

For “Inverting integrator”: C in the feedback integrates Vin; Vo is the ramp −(1/RC)∫Vin dt.

Worked example

Common mistakes

• forgetting the virtual node
• using inverting gain on a non-inverter
• ignoring |Vo| < Vsat

Frequently asked questions

What must be checked before using the Inverting integrator relation?

Confirm negative feedback, the virtual node and that Vo does not saturate.

Also known as

• inverting amplifier, non-inverting, virtual node, CMRR, comparator

Conventions

• V or dimensionless

Related formulas

• Related

  Differential amplifier

  $$v_o=\frac{R_2}{R_1}(v_2-v_1)$$
  Open formulaOpen in section

• Related

  Inverting differentiator

  $$v_o(t)=-RC\frac{dv_{\mathrm{in}}}{dt}$$
  Open formulaOpen in section

• Related

  Voltage divider

  $$V_o=V_i\frac{R_2}{R_1+R_2}$$
  Open formulaOpen in section

• Related

  Superposition principle

  $$x=\sum_k x_k$$
  Open formulaOpen in section