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Differential Voltage Gain in MOS Differential Amplifier Formula

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Differential Gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2. Check FAQs

A d = g m \cdot (\frac{1}{β \cdot R' 1} + (\frac{1}{\frac{1}{β \cdot R' 2}}))

A_d - Differential Gain?g_m - Transconductance?β - Common Emitter Current Gain?R'₁ - Resistance of Primary Winding in Secondary?R'₂ - Resistance of Secondary Winding in Primary?

Differential Voltage Gain in MOS Differential Amplifier Example

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Here is how the Differential Voltage Gain in MOS Differential Amplifier equation looks like with Values.

Here is how the Differential Voltage Gain in MOS Differential Amplifier equation looks like with Units.

Here is how the Differential Voltage Gain in MOS Differential Amplifier equation looks like.

7.009 = 0.25 \cdot (\frac{1}{6.52 \cdot 5.8} + (\frac{1}{\frac{1}{6.52 \cdot 4.3}}))

7.009 = 0.25mS \cdot (\frac{1}{6.52 \cdot 5.8kΩ} + (\frac{1}{\frac{1}{6.52 \cdot 4.3kΩ}}))

7.009 = 0.25 \cdot (\frac{1}{6.52 \cdot 5.8} + (\frac{1}{\frac{1}{6.52 \cdot 4.3}}))

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Differential Voltage Gain in MOS Differential Amplifier Solution

Follow our step by step solution on how to calculate Differential Voltage Gain in MOS Differential Amplifier?

FIRST Step Consider the formula

A d = g m \cdot (\frac{1}{β \cdot R' 1} + (\frac{1}{\frac{1}{β \cdot R' 2}}))

Next Step Substitute values of Variables

∴

A d = 0.25mS \cdot (\frac{1}{6.52 \cdot 5.8kΩ} + (\frac{1}{\frac{1}{6.52 \cdot 4.3kΩ}}))

Next Step Convert Units

∴

A d = 0.0002S \cdot (\frac{1}{6.52 \cdot 5800Ω} + (\frac{1}{\frac{1}{6.52 \cdot 4300Ω}}))

Next Step Prepare to Evaluate

∴

A d = 0.0002 \cdot (\frac{1}{6.52 \cdot 5800} + (\frac{1}{\frac{1}{6.52 \cdot 4300}}))

Next Step Evaluate

∴

A d = 7.00900000661096

LAST Step Rounding Answer

∴

A d = 7.009

Differential Voltage Gain in MOS Differential Amplifier Formula Elements

Variables

Differential Gain

Differential Gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.

Symbol: A_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Differential Gain

Transconductance

Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value should be greater than 0.

Formulas to find Transconductance

Common Emitter Current Gain

Common emitter current gain is highly influenced by two factors: the width of the base region, W, and the relative doping of the base region and the emitter region.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Emitter Current Gain

Resistance of Primary Winding in Secondary

The Resistance of Primary Winding in Secondary of a MOSFET is the opposition to the current flowing through it. It depends on the specific MOSFET design and the operating conditions.

Symbol: R'₁

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance of Primary Winding in Secondary

Resistance of Secondary Winding in Primary

The Resistance of Secondary Winding in Primary of a MOSFET is the opposition to the current flowing through it. It depends on the specific MOSFET design and the operating conditions.

Symbol: R'₂

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance of Secondary Winding in Primary

Other formulas in Differential Configuration category

Go Maximum Input Common-Mode Range of MOS Differential Amplifier

V cmr = V t + V L - (\frac{1}{2} \cdot R L)

Go Minimum Input Common-Mode Range of MOS Differential Amplifier

V cmr = V t + V ov + V gs - V L

Go Input Voltage of MOS Differential Amplifier on Small-Signal Operation

V in = V cm + (\frac{1}{2} \cdot V is)

Go Input Offset Voltage of MOS Differential Amplifier

V os = \frac{V o}{A d}

How to Evaluate Differential Voltage Gain in MOS Differential Amplifier?

Differential Voltage Gain in MOS Differential Amplifier evaluator uses Differential Gain = Transconductance*(1/(Common Emitter Current Gain*Resistance of Primary Winding in Secondary)+(1/(1/(Common Emitter Current Gain*Resistance of Secondary Winding in Primary)))) to evaluate the Differential Gain, The Differential Voltage Gain in MOS Differential Amplifier formula is defined as the change in the color saturation level (amplitude of the color modulation) for a change in low-frequency luma (brightness) amplitude. Differential Gain is denoted by A_d symbol.

How to evaluate Differential Voltage Gain in MOS Differential Amplifier using this online evaluator? To use this online evaluator for Differential Voltage Gain in MOS Differential Amplifier, enter Transconductance (g_m), Common Emitter Current Gain (β), Resistance of Primary Winding in Secondary (R'₁) & Resistance of Secondary Winding in Primary (R'₂) and hit the calculate button.

FAQs on Differential Voltage Gain in MOS Differential Amplifier

What is the formula to find Differential Voltage Gain in MOS Differential Amplifier?

The formula of Differential Voltage Gain in MOS Differential Amplifier is expressed as Differential Gain = Transconductance*(1/(Common Emitter Current Gain*Resistance of Primary Winding in Secondary)+(1/(1/(Common Emitter Current Gain*Resistance of Secondary Winding in Primary)))). Here is an example- 59.125 = 0.00025*(1/(6.52*5800)+(1/(1/(6.52*4300)))).

How to calculate Differential Voltage Gain in MOS Differential Amplifier?

With Transconductance (g_m), Common Emitter Current Gain (β), Resistance of Primary Winding in Secondary (R'₁) & Resistance of Secondary Winding in Primary (R'₂) we can find Differential Voltage Gain in MOS Differential Amplifier using the formula - Differential Gain = Transconductance*(1/(Common Emitter Current Gain*Resistance of Primary Winding in Secondary)+(1/(1/(Common Emitter Current Gain*Resistance of Secondary Winding in Primary)))).

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Differential Voltage Gain in MOS Differential Amplifier Formula

Differential Voltage Gain in MOS Differential Amplifier Example

Differential Voltage Gain in MOS Differential Amplifier Solution

Differential Voltage Gain in MOS Differential Amplifier Formula Elements

Other formulas in Differential Configuration category

How to Evaluate Differential Voltage Gain in MOS Differential Amplifier?

FAQs on Differential Voltage Gain in MOS Differential Amplifier

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