Magnitude of Integrator Transfer Function Calculator

✖Angular Frequency refers to the angular displacement per unit of time.ⓘ Angular Frequency [ω]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance [R]			+10% -10%

✖Magnitude of Opamp transfer function is the magnitude of the transfer function represented by 1/j*w*C*R, so the magnitude is 1/w*C*R.ⓘ Magnitude of Integrator Transfer Function [V_oi]

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Magnitude of Integrator Transfer Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance)
V_oi = 1/(ω*C*R)
This formula uses 4 Variables

Variables Used

Magnitude of Opamp Transfer Function - (Measured in Decibel) - Magnitude of Opamp transfer function is the magnitude of the transfer function represented by 1/j*w*C*R, so the magnitude is 1/w*C*R.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the angular displacement per unit of time.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 10.75 Radian per Second --> 10.75 Radian per Second No Conversion Required
Capacitance: 35 Microfarad --> 3.5E-05 Farad (Check conversion here)
Resistance: 12.75 Kilohm --> 12750 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_oi = 1/(ω*C*R) --> 1/(10.75*3.5E-05*12750)

Evaluating ... ...

V_oi = 0.208455475213341

STEP 3: Convert Result to Output's Unit

0.208455475213341 Decibel --> No Conversion Required

FINAL ANSWER

0.208455475213341 ≈ 0.208455 Decibel <-- Magnitude of Opamp Transfer Function

(Calculation completed in 00.020 seconds)

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< Inverting and Non Inverting Calculators

Differential Input Signal

LaTeX Go Differential Input Signal = Positive Terminal Voltage-(Negative Terminal Voltage)

Common Mode Input Signal of Operational Amplifier

LaTeX Go Common Mode Input = 1/2*(Negative Terminal Voltage+Positive Terminal Voltage)

Integrator Frequency of Inverting Amplifier

LaTeX Go Integrator Frequency = 1/(Capacitance*Resistance)

Closed Loop Gain of Operational Amplifier

LaTeX Go Closed Loop Gain = Output Voltage/Input Voltage

Magnitude of Integrator Transfer Function Formula

LaTeX Go

Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance)
V_oi = 1/(ω*C*R)

What is an integrator in amplifiers?

The Op-amp integrator is an operational amplifier circuit that performs the mathematical operation of integration, i.e., we can cause the output to respond to changes in the input voltage over time as the op-amp integrator produces an output voltage which is proportional to the integral of the input voltage.

How to Calculate Magnitude of Integrator Transfer Function?

Magnitude of Integrator Transfer Function calculator uses Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance) to calculate the Magnitude of Opamp Transfer Function, Magnitude of integrator transfer function is the magnitude of the transfer function represented by 1/j*w*C*R, so the magnitude is 1/w*C*R. We got this formulas by substituting Z₁ as R and Z₂ as 1/sC where s = j*w where the symbols have their usual meaning according to the basic integrator configuration. Magnitude of Opamp Transfer Function is denoted by V_oi symbol.

How to calculate Magnitude of Integrator Transfer Function using this online calculator? To use this online calculator for Magnitude of Integrator Transfer Function, enter Angular Frequency (ω), Capacitance (C) & Resistance (R) and hit the calculate button. Here is how the Magnitude of Integrator Transfer Function calculation can be explained with given input values -> 0.208455 = 1/(10.75*3.5E-05*12750).

FAQ

What is Magnitude of Integrator Transfer Function?

Magnitude of integrator transfer function is the magnitude of the transfer function represented by 1/j*w*C*R, so the magnitude is 1/w*C*R. We got this formulas by substituting Z₁ as R and Z₂ as 1/sC where s = j*w where the symbols have their usual meaning according to the basic integrator configuration and is represented as V_oi = 1/(ω*C*R) or Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance). Angular Frequency refers to the angular displacement per unit of time, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Resistance is a measure of the opposition to current flow in an electrical circuit.

How to calculate Magnitude of Integrator Transfer Function?

Magnitude of integrator transfer function is the magnitude of the transfer function represented by 1/j*w*C*R, so the magnitude is 1/w*C*R. We got this formulas by substituting Z₁ as R and Z₂ as 1/sC where s = j*w where the symbols have their usual meaning according to the basic integrator configuration is calculated using Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance). To calculate Magnitude of Integrator Transfer Function, you need Angular Frequency (ω), Capacitance (C) & Resistance (R). With our tool, you need to enter the respective value for Angular Frequency, Capacitance & Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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