Minimum Input Common-Mode Range of MOS Differential Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage
Vcmr = Vt+Vov+Vgs-VL
This formula uses 5 Variables
Variables Used
Common-Mode Range - (Measured in Volt) - The common-mode range is for signal processing devices with differential inputs, such as an op-amp.
Threshold Voltage - (Measured in Volt) - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.
Effective Voltage - (Measured in Volt) - Effective voltage or overdrive voltage is excess of voltage across oxide over thermal voltage is termed.
Voltage between Gate and Source - (Measured in Volt) - The voltage between gate and source is the voltage that falls across the gate-source terminal of the transistor.
Load Voltage - (Measured in Volt) - The Load Voltage is defined as the voltage between two terminals of load.
STEP 1: Convert Input(s) to Base Unit
Threshold Voltage: 19.5 Volt --> 19.5 Volt No Conversion Required
Effective Voltage: 2.5 Volt --> 2.5 Volt No Conversion Required
Voltage between Gate and Source: 4 Volt --> 4 Volt No Conversion Required
Load Voltage: 22.64 Volt --> 22.64 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcmr = Vt+Vov+Vgs-VL --> 19.5+2.5+4-22.64
Evaluating ... ...
Vcmr = 3.36
STEP 3: Convert Result to Output's Unit
3.36 Volt --> No Conversion Required
FINAL ANSWER
3.36 Volt <-- Common-Mode Range
(Calculation completed in 00.004 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

Minimum Input Common-Mode Range of MOS Differential Amplifier Formula

Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage
Vcmr = Vt+Vov+Vgs-VL

Why differential amplifiers dominate modern analog ICs?

Differential amplifiers apply gain not to one input signal but to the difference between two input signals. This means that a differential amplifier naturally eliminates noise or interference that is present in both input signals. Differential amplification also suppresses common-mode signals—in other words, a DC offset that is present in both input signals will be removed, and the gain will be applied only to the signal of interest (assuming, of course, that the signal of interest is not present in both inputs). This is particularly advantageous in the context of IC design because it eliminates the need for bulky DC-blocking capacitors. The subtraction that occurs in a differential pair makes it easy to incorporate the circuit into a negative-feedback amplifier, and if you’ve read the Negative Feedback series, you know that negative feedback is about the best thing that could ever happen to an amplifier circuit.

How to Calculate Minimum Input Common-Mode Range of MOS Differential Amplifier?

Minimum Input Common-Mode Range of MOS Differential Amplifier calculator uses Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage to calculate the Common-Mode Range, Minimum input common-mode range of MOS differential amplifier formula is for signal processing devices with differential inputs, such as op-amp, CMVR is range of common-mode signal for which amplifier's operation remains linear. Common-Mode Range is denoted by Vcmr symbol.

How to calculate Minimum Input Common-Mode Range of MOS Differential Amplifier using this online calculator? To use this online calculator for Minimum Input Common-Mode Range of MOS Differential Amplifier, enter Threshold Voltage (Vt), Effective Voltage (Vov), Voltage between Gate and Source (Vgs) & Load Voltage (VL) and hit the calculate button. Here is how the Minimum Input Common-Mode Range of MOS Differential Amplifier calculation can be explained with given input values -> 3.36 = 19.5+2.5+4-22.64.

FAQ

What is Minimum Input Common-Mode Range of MOS Differential Amplifier?
Minimum input common-mode range of MOS differential amplifier formula is for signal processing devices with differential inputs, such as op-amp, CMVR is range of common-mode signal for which amplifier's operation remains linear and is represented as Vcmr = Vt+Vov+Vgs-VL or Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage. Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals, Effective voltage or overdrive voltage is excess of voltage across oxide over thermal voltage is termed, The voltage between gate and source is the voltage that falls across the gate-source terminal of the transistor & The Load Voltage is defined as the voltage between two terminals of load.
How to calculate Minimum Input Common-Mode Range of MOS Differential Amplifier?
Minimum input common-mode range of MOS differential amplifier formula is for signal processing devices with differential inputs, such as op-amp, CMVR is range of common-mode signal for which amplifier's operation remains linear is calculated using Common-Mode Range = Threshold Voltage+Effective Voltage+Voltage between Gate and Source-Load Voltage. To calculate Minimum Input Common-Mode Range of MOS Differential Amplifier, you need Threshold Voltage (Vt), Effective Voltage (Vov), Voltage between Gate and Source (Vgs) & Load Voltage (VL). With our tool, you need to enter the respective value for Threshold Voltage, Effective Voltage, Voltage between Gate and Source & Load Voltage 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 Common-Mode Range?
In this formula, Common-Mode Range uses Threshold Voltage, Effective Voltage, Voltage between Gate and Source & Load Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Common-Mode Range = Threshold Voltage+Load Voltage-(1/2*Load Resistance)
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