Integrator Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Integrator Frequency = 1/(Resistance*Capacitance)
ωin = 1/(R*C)
This formula uses 3 Variables
Variables Used
Integrator Frequency - (Measured in Hertz) - Integrator Frequency is the inverse of the integrator time constant.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Resistance: 12.75 Kilohm --> 12750 Ohm (Check conversion here)
Capacitance: 35 Microfarad --> 3.5E-05 Farad (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωin = 1/(R*C) --> 1/(12750*3.5E-05)
Evaluating ... ...
ωin = 2.24089635854342
STEP 3: Convert Result to Output's Unit
2.24089635854342 Hertz --> No Conversion Required
FINAL ANSWER
2.24089635854342 2.240896 Hertz <-- Integrator Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Birsa Institute of Technology (BIT), Sindri
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8 Integrator & Difference Calculators

Common Mode Gain of Difference Amplifiers
Go Common Mode Gain = (Resistance 4/(Resistance 4+Resistance 3))*(1-((Resistance 2*Resistance 3)/(Resistance 1*Resistance 4)))
Output Voltage of Difference Amplifier
Go Output Voltage = (Resistance 2/Resistance 1)*(Positive Terminal Voltage-(Negative Terminal Voltage))
Output Voltage 1 of Difference Amplifier
Go Output Voltage 1 = -(Resistance 2/Resistance 1)*Negative Terminal Voltage
Output Voltage 2 of Difference Amplifier
Go Output Voltage 2 = (Resistance 2/Resistance 1)*Positive Terminal Voltage
Common Mode Rejection Ratio of Difference Amplifiers
Go CMRR = 20*log10((Differential Mode Gain)/(Common Mode Gain))
Differential Gain of Difference Amplifier
Go Differential Mode Gain = Resistance 2/Resistance 1
Integrator Frequency
Go Integrator Frequency = 1/(Resistance*Capacitance)
Gain of Feedback Operational Amplifier
Go Open Loop Gain = 1/Feedback Factor

Integrator Frequency Formula

Integrator Frequency = 1/(Resistance*Capacitance)
ωin = 1/(R*C)

What is an integrator?

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 that is proportional to the integral of the input voltage.

How to Calculate Integrator Frequency?

Integrator Frequency calculator uses Integrator Frequency = 1/(Resistance*Capacitance) to calculate the Integrator Frequency, The Integrator frequency is the inverse of integrator time constant. It is the reciprocal of the product of R (resistance) and C (capacitance) for values Z1=R and Z2=1/sC in the general integrator diagram. Integrator Frequency is denoted by ωin symbol.

How to calculate Integrator Frequency using this online calculator? To use this online calculator for Integrator Frequency, enter Resistance (R) & Capacitance (C) and hit the calculate button. Here is how the Integrator Frequency calculation can be explained with given input values -> 2.240896 = 1/(12750*3.5E-05).

FAQ

What is Integrator Frequency?
The Integrator frequency is the inverse of integrator time constant. It is the reciprocal of the product of R (resistance) and C (capacitance) for values Z1=R and Z2=1/sC in the general integrator diagram and is represented as ωin = 1/(R*C) or Integrator Frequency = 1/(Resistance*Capacitance). Resistance is a measure of the opposition to current flow in an electrical circuit & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Integrator Frequency?
The Integrator frequency is the inverse of integrator time constant. It is the reciprocal of the product of R (resistance) and C (capacitance) for values Z1=R and Z2=1/sC in the general integrator diagram is calculated using Integrator Frequency = 1/(Resistance*Capacitance). To calculate Integrator Frequency, you need Resistance (R) & Capacitance (C). With our tool, you need to enter the respective value for Resistance & Capacitance 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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