Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Differential Amplifier

A differential amplifier is a type of electronic amplifier that amplifies the difference between two input voltages, but suppresses any voltage common to the two inputs.

The voltage gain equals the output voltage divided by the absolute difference between the two input voltages. The output voltage depends on the input voltages, feedback resistance, voltage source resistances and the terminal-to-ground resistance.

Formula

{QuantityVariable[Subscript["V", "out"], "ElectricPotential"] == -((QuantityVariable[Subscript["R", "f"], "ElectricResistance"]*QuantityVariable[Subscript["V", "1"], "ElectricPotential"])/QuantityVariable[Subscript["R", "1"], "ElectricResistance"]) + ((QuantityVariable[Subscript["R", "1"], "ElectricResistance"] + QuantityVariable[Subscript["R", "f"], "ElectricResistance"])*QuantityVariable[Subscript["R", "g"], "ElectricResistance"]*QuantityVariable[Subscript["V", "2"], "ElectricPotential"])/(QuantityVariable[Subscript["R", "1"], "ElectricResistance"]*(QuantityVariable[Subscript["R", "2"], "ElectricResistance"] + QuantityVariable[Subscript["R", "g"], "ElectricResistance"])), QuantityVariable["A", "Unitless"] == Abs[QuantityVariable[Subscript["V", "out"], "ElectricPotential"]/(QuantityVariable[Subscript["V", "1"], "ElectricPotential"] - QuantityVariable[Subscript["V", "2"], "ElectricPotential"])]}

symbol description physical quantity
Vout output voltage "ElectricPotential"
R1 voltage source resistance 1 "ElectricResistance"
Rf feedback resistance "ElectricResistance"
V1 input voltage 1 "ElectricPotential"
Rg terminal-to-ground resistance "ElectricResistance"
R2 voltage source resistance 2 "ElectricResistance"
V2 input voltage 2 "ElectricPotential"
A voltage gain "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Differential Amplifier"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Differential Amplifier"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject["Differential Amplifier"], {QuantityVariable[ \!\(\*SubscriptBox[\("V"\), \("out"\)]\),"ElectricPotential"] -> Quantity[54.9451`, "Volts"], QuantityVariable[ \!\(\*SubscriptBox[\("R"\), \("g"\)]\),"ElectricResistance"] -> Quantity[1000000, "Ohms"], QuantityVariable[ \!\(\*SubscriptBox[\("R"\), \("2"\)]\),"ElectricResistance"] -> Quantity[1000, "Ohms"], QuantityVariable["A","Unitless"] -> 10.989`, QuantityVariable[ \!\(\*SubscriptBox[\("V"\), \("2"\)]\),"ElectricPotential"] -> Quantity[5, "Volts"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1941

Publisher Information