In an op-amp integrator circuit, the output voltage is proportional to the _______.

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RRB JE ECE 22 Apr 2025 Shift 2 CBT 2 Official Paper
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  1. cube of the input signal
  2. sum of the input signal
  3. integral of the input signal
  4. derivative of the input signal

Answer (Detailed Solution Below)

Option 3 : integral of the input signal
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An operational amplifier is an integrated circuit that can amplify weak electric signals. An operational amplifier has two input pins and one output pin. Its basic role is to amplify and output the voltage difference between the two input pins.

OP-AMP Integrator:

F1 Nakshatra Sunny 8.6.21 D1

The expression for the output voltage of OP-AMP integrator as:

\({V_0} = - \frac{1}{{{R_1}{C_f}}}\mathop \smallint \limits_0^t {V_{in}}dt\)

Where,

Vin = Input voltage

V = Output voltage

C = Feedback capacitor

R= Input resistance

VA, V = Virtual ground potentials

I = Input current

 Additional Information

OP-AMP differentiator:

F1 Nakshatra Sunny 8.6.21 D2

The expression for the output voltage of OP-AMP differentiator as:

\({V_0} = - {R_f}C\frac{{d{V_{in}}}}{{dt}}\)

Vin = Input voltage

V= Output voltage

R = Feedback resistance

C = Input capacitance

VA, VB = Virtual ground points

Important Points

By changing positions of Resistance and Capacitor OP-AMP Integrator converts to Differentiator and vice-versa.

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