Percentage Gain Error of Non Inverting Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100
E% = -((1+(R'2/R'1))/(Av+1+(R'2/R'1)))*100
This formula uses 4 Variables
Variables Used
Percentage Gain Error - Percentage gain error indicates how well the slope of an actual transfer function matches the slope of the ideal transfer function.
Resistance of Secondary Winding in Primary - (Measured in Ohm) - Resistance of Secondary Winding in Primary is the Resistance of Secondary winding in the primary.
Resistance of Primary Winding in Secondary - (Measured in Ohm) - Resistance of Primary Winding in Secondary is the Resistance of Primary winding in Secondary.
Voltage Gain - Voltage gain is defined as the ratio of the output voltage to the input voltage.
STEP 1: Convert Input(s) to Base Unit
Resistance of Secondary Winding in Primary: 4.3 Kilohm --> 4300 Ohm (Check conversion here)
Resistance of Primary Winding in Secondary: 5.8 Kilohm --> 5800 Ohm (Check conversion here)
Voltage Gain: 6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E% = -((1+(R'2/R'1))/(Av+1+(R'2/R'1)))*100 --> -((1+(4300/5800))/(6+1+(4300/5800)))*100
Evaluating ... ...
E% = -22.4944320712695
STEP 3: Convert Result to Output's Unit
-22.4944320712695 --> No Conversion Required
FINAL ANSWER
-22.4944320712695 -22.494432 <-- Percentage Gain Error
(Calculation completed in 00.004 seconds)

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Percentage Gain Error of Non Inverting Amplifier
Go Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100
Output Voltage of Non Inverting Configuration
Go Output Voltage = Input Voltage+(Input Voltage/Resistance 1)*Resistance 2
Output Voltage of Finite Open-Loop Gain of Operational Amplifier
Go Output Voltage = (Current*Resistance-Input Voltage)*Open Loop Gain
Current in Finite Open-Loop Gain in Operational Amplifier
Go Current = (Input Voltage+Output Voltage/Open Loop Gain)/Resistance
Magnitude of Integrator Transfer Function
Go Magnitude of Opamp Transfer Function = 1/(Angular Frequency*Capacitance*Resistance)
Differential Input Signal
Go Differential Input Signal = Positive Terminal Voltage-(Negative Terminal Voltage)
Common Mode Input Signal of Operational Amplifier
Go Common Mode Input = 1/2*(Negative Terminal Voltage+Positive Terminal Voltage)
Closed Loop Gain of Non Inverting Amplifier Circuit
Go Closed Loop Gain = 1+(Feedback Resistance/Resistance)
Integrator Frequency of Inverting Amplifier
Go Integrator Frequency = 1/(Capacitance*Resistance)
Closed Loop Gain of Operational Amplifier
Go Closed Loop Gain = Output Voltage/Input Voltage

Percentage Gain Error of Non Inverting Amplifier Formula

Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100
E% = -((1+(R'2/R'1))/(Av+1+(R'2/R'1)))*100

Why is it called a non-inverting amplifier?

An amplifier that produces an amplified signal at the output, having a similar phase as that of the applied input is known as the non-inverting amplifier. This simply means that for an input signal with a positive phase, the output will also be positive.

How to Calculate Percentage Gain Error of Non Inverting Amplifier?

Percentage Gain Error of Non Inverting Amplifier calculator uses Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100 to calculate the Percentage Gain Error, The Percentage gain error of non inverting amplifier formula indicates how well the slope of an actual transfer function matches the slope of the ideal transfer function. Percentage Gain Error is denoted by E% symbol.

How to calculate Percentage Gain Error of Non Inverting Amplifier using this online calculator? To use this online calculator for Percentage Gain Error of Non Inverting Amplifier, enter Resistance of Secondary Winding in Primary (R'2), Resistance of Primary Winding in Secondary (R'1) & Voltage Gain (Av) and hit the calculate button. Here is how the Percentage Gain Error of Non Inverting Amplifier calculation can be explained with given input values -> -22.494432 = -((1+(4300/5800))/(6+1+(4300/5800)))*100.

FAQ

What is Percentage Gain Error of Non Inverting Amplifier?
The Percentage gain error of non inverting amplifier formula indicates how well the slope of an actual transfer function matches the slope of the ideal transfer function and is represented as E% = -((1+(R'2/R'1))/(Av+1+(R'2/R'1)))*100 or Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100. Resistance of Secondary Winding in Primary is the Resistance of Secondary winding in the primary, Resistance of Primary Winding in Secondary is the Resistance of Primary winding in Secondary & Voltage gain is defined as the ratio of the output voltage to the input voltage.
How to calculate Percentage Gain Error of Non Inverting Amplifier?
The Percentage gain error of non inverting amplifier formula indicates how well the slope of an actual transfer function matches the slope of the ideal transfer function is calculated using Percentage Gain Error = -((1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary))/(Voltage Gain+1+(Resistance of Secondary Winding in Primary/Resistance of Primary Winding in Secondary)))*100. To calculate Percentage Gain Error of Non Inverting Amplifier, you need Resistance of Secondary Winding in Primary (R'2), Resistance of Primary Winding in Secondary (R'1) & Voltage Gain (Av). With our tool, you need to enter the respective value for Resistance of Secondary Winding in Primary, Resistance of Primary Winding in Secondary & Voltage Gain 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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