Output Resistance of Differential Amplifier Calculator

✖A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.ⓘ Common Mode Input Signal [V_cin]			+10% -10%
✖Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.ⓘ Transconductance [g_m]			+10% -10%
✖Total current is a term used in electrical engineering and physics to refer to the sum of all the electric currents flowing through a particular point in a circuit or conductor.ⓘ Total Current [I_t]			+10% -10%

✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance of Differential Amplifier [R_out]

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Formula

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Output Resistance of Differential Amplifier

Formula

`"R"_{"out"} = (("V"_{"cin"}*"g"_{"m"})-"I"_{"t"})/(2*"g"_{"m"}*"I"_{"t"})`

Example

`"4.5kΩ"=(("84.7V"*"0.5mS")-"7.7mA")/(2*"0.5mS"*"7.7mA")`

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Output Resistance of Differential Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current)
R_out = ((V_cin*g_m)-I_t)/(2*g_m*I_t)
This formula uses 4 Variables

Variables Used

Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
Common Mode Input Signal - (Measured in Volt) - A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.
Total Current - (Measured in Ampere) - Total current is a term used in electrical engineering and physics to refer to the sum of all the electric currents flowing through a particular point in a circuit or conductor.

STEP 1: Convert Input(s) to Base Unit

Common Mode Input Signal: 84.7 Volt --> 84.7 Volt No Conversion Required
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Total Current: 7.7 Milliampere --> 0.0077 Ampere (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_out = ((V_cin*g_m)-I_t)/(2*g_m*I_t) --> ((84.7*0.0005)-0.0077)/(2*0.0005*0.0077)

Evaluating ... ...

R_out = 4500

STEP 3: Convert Result to Output's Unit

4500 Ohm -->4.5 Kilohm (Check conversion here)

FINAL ANSWER

4.5 Kilohm <-- Output Resistance

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 14 Resistance Calculators

MOSFET as Linear Resistance given Aspect Ratio

Go Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage)

Output Resistance of Differential Amplifier

Go Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current)

Input Resistance of Mosfet

Go Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain)

Finite Resistance between Drain and Source

Go Finite Resistance = modulus(Positive DC Voltage)/Drain Current

Output Resistance given Channel Length Modulation

Go Output Resistance = 1/(Channel Length Modulation*Drain Current)

Input Resistance given Transconductance

Go Input Resistance = Small Signal Current Gain/Transconductance

Electron Mean Free Path

Go Electron Mean Free Path = 1/(Output Resistance*Drain Current)

Drain Output Resistance

Go Output Resistance = 1/(Electron Mean Free Path*Drain Current)

Output Resistance given Transconductance

Go Output Resistance = 1/(Carrier Mobility*Transconductance)

Voltage Dependent Resistance in MOSFET

Go Finite Resistance = Effective Voltage/Drain Current

Output Resistance of Mosfet

Go Output Resistance = Early Voltage/Collector Current

Small Signal Input Resistance

Go Input Resistance = Input Voltage/Base Current

Conductance in Linear Resistance of MOSFET

Go Conductance of Channel = 1/Linear Resistance

MOSFET as Linear Resistance

Go Linear Resistance = 1/Conductance of Channel

Output Resistance of Differential Amplifier Formula

Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current)
R_out = ((V_cin*g_m)-I_t)/(2*g_m*I_t)

What is threshold voltage?

The value of voltage across the oxide at which a sufficient number of mobile electrons accumulate in the channel region to form a conducting channel is called the threshold voltage and is denoted as V_t.

Explain the whole process of the channel region of the MOSFET forming a parallel-plate capacitor.

The gate and the channel region of the MOSFET form a parallel-plate capacitor, with
the oxide layer acting as the capacitor dielectric. The positive gate voltage causes a positive charge to accumulate on the top plate of the capacitor (the gate electrode). The corresponding negative charge on the bottom plate is formed by the electrons in the induced channel. An electric field thus develops in the vertical direction. It is this field that controls the amount of charge in the channel, and thus it determines the channel conductivity and, in turn, the current that will flow through the channel when a voltage is applied.

How to Calculate Output Resistance of Differential Amplifier?

Output Resistance of Differential Amplifier calculator uses Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current) to calculate the Output Resistance, The output resistance of differential amplifier refers to the equivalent resistance seen at the amplifier's output terminals when an external load is connected. It is also known as the output impedance. Output Resistance is denoted by R_out symbol.

How to calculate Output Resistance of Differential Amplifier using this online calculator? To use this online calculator for Output Resistance of Differential Amplifier, enter Common Mode Input Signal (V_cin), Transconductance (g_m) & Total Current (I_t) and hit the calculate button. Here is how the Output Resistance of Differential Amplifier calculation can be explained with given input values -> 0.0045 = ((84.7*0.0005)-0.0077)/(2*0.0005*0.0077).

FAQ

What is Output Resistance of Differential Amplifier?

The output resistance of differential amplifier refers to the equivalent resistance seen at the amplifier's output terminals when an external load is connected. It is also known as the output impedance and is represented as R_out = ((V_cin*g_m)-I_t)/(2*g_m*I_t) or Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current). A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier, Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant & Total current is a term used in electrical engineering and physics to refer to the sum of all the electric currents flowing through a particular point in a circuit or conductor.

How to calculate Output Resistance of Differential Amplifier?

The output resistance of differential amplifier refers to the equivalent resistance seen at the amplifier's output terminals when an external load is connected. It is also known as the output impedance is calculated using Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current). To calculate Output Resistance of Differential Amplifier, you need Common Mode Input Signal (V_cin), Transconductance (g_m) & Total Current (I_t). With our tool, you need to enter the respective value for Common Mode Input Signal, Transconductance & Total Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Output Resistance?

In this formula, Output Resistance uses Common Mode Input Signal, Transconductance & Total Current. We can use 4 other way(s) to calculate the same, which is/are as follows -

Output Resistance = 1/(Electron Mean Free Path*Drain Current)
Output Resistance = Early Voltage/Collector Current
Output Resistance = 1/(Carrier Mobility*Transconductance)
Output Resistance = 1/(Channel Length Modulation*Drain Current)

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