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))))
Ad = gm*(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
Ad = gm*(1/(β*R'1)+(1/(1/(β*R'2)))) --> 0.00025*(1/(6.52*5800)+(1/(1/(6.52*4300))))
Evaluating ... ...
Ad = 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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Differential Configuration Calculators

Minimum Input Common-Mode Range of MOS Differential Amplifier
​ LaTeX ​ Go Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage
Maximum Input Common-Mode Range of MOS Differential Amplifier
​ LaTeX ​ Go Common-Mode Range = Threshold Voltage+Load Voltage-(1/2*Load Resistance)
Input Voltage of MOS Differential Amplifier on Small-Signal Operation
​ LaTeX ​ Go Input Voltage = Common-Mode DC Voltage+(1/2*Differential Input Signal)
Input Offset Voltage of MOS Differential Amplifier
​ LaTeX ​ Go Input Offset Voltage = Output DC Offset Voltage/Differential Gain

Differential Voltage Gain in MOS Differential Amplifier Formula

​LaTeX ​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))))
Ad = gm*(1/(β*R'1)+(1/(1/(β*R'2))))

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 Ad 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 (gm), 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 Ad = gm*(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 (gm), 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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