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Output Resistance of Differential Amplifier Formula

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Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output. Check FAQs

R out = \frac{(V cin \cdot g m) - I t}{2 \cdot g m \cdot I t}

R_out - Output Resistance?V_cin - Common Mode Input Signal?g_m - Transconductance?I_t - Total Current?

Output Resistance of Differential Amplifier Example

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Here is how the Output Resistance of Differential Amplifier equation looks like with Values.

Here is how the Output Resistance of Differential Amplifier equation looks like with Units.

Here is how the Output Resistance of Differential Amplifier equation looks like.

4.5 = \frac{(84.7 \cdot 0.5) - 7.7}{2 \cdot 0.5 \cdot 7.7}

4.5kΩ = \frac{(84.7V \cdot 0.5mS) - 7.7mA}{2 \cdot 0.5mS \cdot 7.7mA}

4.5 = \frac{(84.7 \cdot 0.5) - 7.7}{2 \cdot 0.5 \cdot 7.7}

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Output Resistance of Differential Amplifier Solution

Follow our step by step solution on how to calculate Output Resistance of Differential Amplifier?

FIRST Step Consider the formula

R out = \frac{(V cin \cdot g m) - I t}{2 \cdot g m \cdot I t}

Next Step Substitute values of Variables

∴

R out = \frac{(84.7V \cdot 0.5mS) - 7.7mA}{2 \cdot 0.5mS \cdot 7.7mA}

Next Step Convert Units

∴

R out = \frac{(84.7V \cdot 0.0005S) - 0.0077A}{2 \cdot 0.0005S \cdot 0.0077A}

Next Step Prepare to Evaluate

∴

R out = \frac{(84.7 \cdot 0.0005) - 0.0077}{2 \cdot 0.0005 \cdot 0.0077}

Next Step Evaluate

∴

R out = 4500Ω

LAST Step Convert to Output's Unit

∴

R out = 4.5kΩ

Output Resistance of Differential Amplifier Formula Elements

Variables

Output Resistance

Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Common Mode Input Signal

A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.

Symbol: V_cin

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Common Mode Input Signal

Transconductance

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.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Total Current

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.

Symbol: I_t

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Total Current

Other Formulas to find Output Resistance

Go Drain Output Resistance

R out = \frac{1}{λ \cdot i d}

Go Output Resistance of Mosfet

R out = \frac{v a}{i c}

Go Output Resistance given Transconductance

R out = \frac{1}{η \cdot g m}

Go Output Resistance given Channel Length Modulation

R out = \frac{1}{λ c \cdot i d}

Other formulas in Resistance category

Go MOSFET as Linear Resistance given Aspect Ratio

R ds = \frac{L}{μ s \cdot C ox \cdot W c \cdot V eff}

Go Electron Mean Free Path

λ = \frac{1}{R out \cdot i d}

Go Finite Resistance between Drain and Source

R fi = mod \underset{̲}{u} s \frac{V a}{i d}

Go MOSFET as Linear Resistance

R ds = \frac{1}{G}

How to Evaluate Output Resistance of Differential Amplifier?

Output Resistance of Differential Amplifier evaluator uses Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current) to evaluate 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 evaluate Output Resistance of Differential Amplifier using this online evaluator? To use this online evaluator 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.

FAQs on Output Resistance of Differential Amplifier

What is the formula to find Output Resistance of Differential Amplifier?

The formula of Output Resistance of Differential Amplifier is expressed as Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current). Here is an example- 0.0045 = ((84.7*0.0005)-0.0077)/(2*0.0005*0.0077).

How to calculate Output Resistance of Differential Amplifier?

With Common Mode Input Signal (V_cin), Transconductance (g_m) & Total Current (I_t) we can find Output Resistance of Differential Amplifier using the formula - Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current).

What are the other ways to Calculate Output Resistance?

Here are the different ways to Calculate Output Resistance-

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

Can the Output Resistance of Differential Amplifier be negative?

No, the Output Resistance of Differential Amplifier, measured in Electric Resistance cannot be negative.

Which unit is used to measure Output Resistance of Differential Amplifier?

Output Resistance of Differential Amplifier is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Output Resistance of Differential Amplifier can be measured.

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Output Resistance of Differential Amplifier Formula

​GoDrain Output Resistance Formula

​GoOutput Resistance of Mosfet Formula

Output Resistance of Differential Amplifier Example

Output Resistance of Differential Amplifier Solution

Output Resistance of Differential Amplifier Formula Elements

Other Formulas to find Output Resistance

Other formulas in Resistance category

How to Evaluate Output Resistance of Differential Amplifier?

FAQs on Output Resistance of Differential Amplifier

Variable Name

GoDrain Output Resistance Formula

GoOutput Resistance of Mosfet Formula