Differential Gain of Instrumentation Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
Ad = (R4/R3)*(1+(R2)/R1)
This formula uses 5 Variables
Variables Used
Differential Mode Gain - Differential mode gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.
Resistance 4 - (Measured in Ohm) - Resistance 4 is a measure of the opposition to current flow in an electrical circuit.
Resistance 3 - (Measured in Ohm) - Resistance 3 is a measure of the opposition to current flow in an electrical circuit.
Resistance 2 - (Measured in Ohm) - Resistance 2 is a measure of the opposition to current flow in an electrical circuit.
Resistance 1 - (Measured in Ohm) - Resistance 1 is a measure of the opposition to current flow in an electrical circuit.
STEP 1: Convert Input(s) to Base Unit
Resistance 4: 7 Kilohm --> 7000 Ohm (Check conversion here)
Resistance 3: 10.5 Kilohm --> 10500 Ohm (Check conversion here)
Resistance 2: 8.75 Kilohm --> 8750 Ohm (Check conversion here)
Resistance 1: 12.5 Kilohm --> 12500 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ad = (R4/R3)*(1+(R2)/R1) --> (7000/10500)*(1+(8750)/12500)
Evaluating ... ...
Ad = 1.13333333333333
STEP 3: Convert Result to Output's Unit
1.13333333333333 --> No Conversion Required
FINAL ANSWER
1.13333333333333 1.133333 <-- Differential Mode Gain
(Calculation completed in 00.020 seconds)

Credits

Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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21 Amplifier Characteristics Calculators

Base Junction Width of Amplifier
Go Base Junction Width = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Saturation Current
Saturation Current
Go Saturation Current = (Base Emitter Area*[Charge-e]*Electron Diffusivity*Thermal Equilibrium Concentration)/Base Junction Width
Differential Voltage in Amplifier
Go Differential Input Signal = Output Voltage/((Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1))
Output Voltage for Instrumentation Amplifier
Go Output Voltage = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)*Differential Input Signal
Voltage Gain given Load Resistance
Go Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance)
Load Power of Amplifier
Go Load Power = (Positive DC Voltage*Positive DC Current)+(Negative DC Voltage*Negative DC Current)
Signal Voltage of Amplifier
Go Signal Voltage = Input Voltage*((Input Resistance+Signal Resistance)/Input Resistance)
Input Voltage of Amplifier
Go Input Voltage = (Input Resistance/(Input Resistance+Signal Resistance))*Signal Voltage
Differential Gain of Instrumentation Amplifier
Go Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
Load Resistance with respect to Transconductance
Go Load Resistance = -(Output Voltage Gain*(1/Transconductance+Series Resistor))
Output Voltage Gain given Transconductance
Go Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor))
Open-Circuit Transresistance
Go Open Circuit Transresistance = Output Voltage/Input Current
Amplifier Power Efficiency
Go Power Efficiency Percentage = 100*(Load Power/Input Power)
Current Gain of Amplifier in Decibels
Go Current Gain in Decibels = 20*(log10(Current Gain) )
Output Voltage of Amplifier
Go Output Voltage = Voltage Gain*Input Voltage
Current Gain of Amplifier
Go Current Gain = Output Current/Input Current
Voltage Gain of Amplifier
Go Voltage Gain = Output Voltage/Input Voltage
Input Voltage at Maximum Power Dissipation
Go Input Voltage = (Peak Voltage*pi)/2
Peak Voltage at Maximum Power Dissipation
Go Peak Voltage = (2*Input Voltage)/pi
Power Gain of Amplifier
Go Power Gain = Load Power/Input Power
Open Circuit Time Constant of Amplifier
Go Open Circuit Time Constant = 1/Pole Frequency

Differential Gain of Instrumentation Amplifier Formula

Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1)
Ad = (R4/R3)*(1+(R2)/R1)

What is the Instrumentation amplifier?

Instrumentation Amplifiers (in-amps) are very high gain differential amplifiers which have a high input impedance and a single ended output. Instrumentation amplifiers are mainly used to amplify very small differential signals from strain gauges, thermocouples or current sensing devices in motor control systems.

How to Calculate Differential Gain of Instrumentation Amplifier?

Differential Gain of Instrumentation Amplifier calculator uses Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1) to calculate the Differential Mode Gain, The Differential Gain of Instrumentation Amplifier is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. It's also called differential voltage gain and denoted as Ad. Differential Mode Gain is denoted by Ad symbol.

How to calculate Differential Gain of Instrumentation Amplifier using this online calculator? To use this online calculator for Differential Gain of Instrumentation Amplifier, enter Resistance 4 (R4), Resistance 3 (R3), Resistance 2 (R2) & Resistance 1 (R1) and hit the calculate button. Here is how the Differential Gain of Instrumentation Amplifier calculation can be explained with given input values -> 1.133333 = (7000/10500)*(1+(8750)/12500).

FAQ

What is Differential Gain of Instrumentation Amplifier?
The Differential Gain of Instrumentation Amplifier is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. It's also called differential voltage gain and denoted as Ad and is represented as Ad = (R4/R3)*(1+(R2)/R1) or Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1). Resistance 4 is a measure of the opposition to current flow in an electrical circuit, Resistance 3 is a measure of the opposition to current flow in an electrical circuit, Resistance 2 is a measure of the opposition to current flow in an electrical circuit & Resistance 1 is a measure of the opposition to current flow in an electrical circuit.
How to calculate Differential Gain of Instrumentation Amplifier?
The Differential Gain of Instrumentation Amplifier is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. It's also called differential voltage gain and denoted as Ad is calculated using Differential Mode Gain = (Resistance 4/Resistance 3)*(1+(Resistance 2)/Resistance 1). To calculate Differential Gain of Instrumentation Amplifier, you need Resistance 4 (R4), Resistance 3 (R3), Resistance 2 (R2) & Resistance 1 (R1). With our tool, you need to enter the respective value for Resistance 4, Resistance 3, Resistance 2 & Resistance 1 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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