Differential Voltage Gain in MOS Differential Amplifier Calculator

✖Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.ⓘ Transconductance [g_m]			+10% -10%
✖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.ⓘ Common Emitter Current Gain [β]			+10% -10%
✖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.ⓘ Resistance of Primary Winding in Secondary [R'₁]			+10% -10%
✖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.ⓘ Resistance of Secondary Winding in Primary [R'₂]			+10% -10%

✖Differential Gain is the gain of the amplifier when a differential input is supplied i.e. input 1 is not equal to input 2.ⓘ Differential Voltage Gain in MOS Differential Amplifier [A_d]

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Differential Voltage Gain in MOS Differential Amplifier

Formula

`"A"_{"d"} = "g"_{"m"}*(1/("β"*"R'"_{"1"})+(1/(1/("β"*"R'"_{"2"}))))`

Example

`"7.009"="0.25mS"*(1/("6.52"*"5.80kΩ")+(1/(1/("6.52"*"4.3kΩ"))))`

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Differential Voltage Gain in MOS Differential Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
A_d = g_m*(1/(β*R'₁)+(1/(1/(β*R'₂))))
This formula uses 5 Variables

Variables Used

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.
Transconductance - (Measured in Siemens) - Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
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.
Resistance of Primary Winding in Secondary - (Measured in Ohm) - 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.
Resistance of Secondary Winding in Primary - (Measured in Ohm) - 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.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.25 Millisiemens --> 0.00025 Siemens (Check conversion here)
Common Emitter Current Gain: 6.52 --> No Conversion Required
Resistance of Primary Winding in Secondary: 5.8 Kilohm --> 5800 Ohm (Check conversion here)
Resistance of Secondary Winding in Primary: 4.3 Kilohm --> 4300 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_d = g_m*(1/(β*R'₁)+(1/(1/(β*R'₂)))) --> 0.00025*(1/(6.52*5800)+(1/(1/(6.52*4300))))

Evaluating ... ...

A_d = 7.00900000661096

STEP 3: Convert Result to Output's Unit

7.00900000661096 --> No Conversion Required

FINAL ANSWER

7.00900000661096 ≈ 7.009 <-- Differential Gain

(Calculation completed in 00.020 seconds)

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< 9 Differential Configuration Calculators

Differential Voltage Gain in MOS Differential Amplifier

Go 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))))

Total Input Offset Voltage of MOS Differential Amplifier given Saturation Current

Go Input Offset Voltage = sqrt((Change in Collector Resistance/Collector Resistance)^2+(Saturation Current for DC/Saturation Current)^2)

Minimum Input Common-Mode Range of MOS Differential Amplifier

Go Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage

Input Offset Voltage of MOS Differential Amplifier given Saturation Current

Go Input Offset Voltage = Threshold Voltage*(Saturation Current for DC/Saturation Current)

Input Offset Voltage of MOS Differential Amplifier when Aspect Ratio Mismatches

Go Input Offset Voltage = (Effective Voltage/2)*(Aspect Ratio/Aspect Ratio 1)

Maximum Input Common-Mode Range of MOS Differential Amplifier

Go Common-Mode Range = Threshold Voltage+Load Voltage-(1/2*Load Resistance)

Input Voltage of MOS Differential Amplifier on Small-Signal Operation

Go Input Voltage = Common-Mode DC Voltage+(1/2*Differential Input Signal)

Input Offset Voltage of MOS Differential Amplifier

Go Input Offset Voltage = Output DC Offset Voltage/Differential Gain

Transconductance of MOS Differential Amplifier on Small-Signal Operation

Go Transconductance = Total Current/Effective Voltage

Differential Voltage Gain in MOS Differential Amplifier Formula

What is differential gain and common mode gain?

Differential-load voltage gain is the gain given to a voltage that appears between the two input terminals. It represents two different voltages on the inputs. By contrast, common-load voltage gain is the gain given to a voltage that appears on both input terminals with respect to ground.

How to Calculate Differential Voltage Gain in MOS Differential Amplifier?

Differential Voltage Gain in MOS Differential Amplifier calculator 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 calculate 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 calculate Differential Voltage Gain in MOS Differential Amplifier using this online calculator? To use this online calculator 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. Here is how the Differential Voltage Gain in MOS Differential Amplifier calculation can be explained with given input values -> 59.125 = 0.00025*(1/(6.52*5800)+(1/(1/(6.52*4300)))).

FAQ

What is Differential Voltage Gain in MOS Differential Amplifier?

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 and is represented as A_d = g_m*(1/(β*R'₁)+(1/(1/(β*R'₂)))) or 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)))). Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage, 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, 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 & 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.

How to calculate Differential Voltage Gain in MOS Differential Amplifier?

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 is calculated using 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 calculate Differential Voltage Gain in MOS Differential Amplifier, you need Transconductance (g_m), Common Emitter Current Gain (β), Resistance of Primary Winding in Secondary (R'₁) & Resistance of Secondary Winding in Primary (R'₂). With our tool, you need to enter the respective value for Transconductance, Common Emitter Current Gain, Resistance of Primary Winding in Secondary & Resistance of Secondary Winding in Primary 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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