Common-Mode Rejection Ratio of MOS with Current-Mirror Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance)
CMRR = gm*(1/(1/R'1+1/R'2))*(2*Δgm*Rfo)
This formula uses 6 Variables
Variables Used
Common Mode Rejection Ratio - Common Mode Rejection Ratio is a measure of the ability of an electronic circuit, such as an amplifier, to reject noise and interference that is common to both the input signals.
Transconductance - (Measured in Siemens) - 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.
Primary Winding Resistance in Secondary - (Measured in Ohm) - Primary Winding Resistance in Secondary is the Resistance of Primary winding in Secondary coil and capacitance related to mosfet.
Secondary Winding Resistance in Primary - (Measured in Ohm) - Secondary Winding Resistance in Primary is the Resistance of Secondary winding in Primary coil and capacitance related to mosfet.
Change in Transconductance - (Measured in Siemens) - Change in Transconductance is a measure of the ability of a device, such as a transistor or vacuum tube, to convert an input voltage signal into an output current signal.
Finite Output Resistance - (Measured in Ohm) - Finite output resistance is a term used to describe the characteristic of an electronic circuit or device that limits the amount of current that can be delivered to an external load.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Primary Winding Resistance in Secondary: 0.09 Kilohm --> 90 Ohm (Check conversion ​here)
Secondary Winding Resistance in Primary: 0.3 Kilohm --> 300 Ohm (Check conversion ​here)
Change in Transconductance: 29 Millisiemens --> 0.029 Siemens (Check conversion ​here)
Finite Output Resistance: 0.038 Kilohm --> 38 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CMRR = gm*(1/(1/R'1+1/R'2))*(2*Δgm*Rfo) --> 0.0005*(1/(1/90+1/300))*(2*0.029*38)
Evaluating ... ...
CMRR = 0.0762923076923077
STEP 3: Convert Result to Output's Unit
0.0762923076923077 --> No Conversion Required
FINAL ANSWER
0.0762923076923077 0.076292 <-- Common Mode Rejection Ratio
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Common Mode Rejection Ratio (CMRR) Calculators

Common-Mode Rejection Ratio of MOS with Current-Mirror Load
​ LaTeX ​ Go Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance)
Common-Mode Rejection Ratio of MOSFET given Resistance
​ LaTeX ​ Go Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)
Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal
​ LaTeX ​ Go Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)
Common-Mode Signal of MOSFET given Resistance
​ LaTeX ​ Go Common Mode Input Signal = (2*Output Resistance*Output Voltage)/Load Resistance

Common-Mode Rejection Ratio of MOS with Current-Mirror Load Formula

​LaTeX ​Go
Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance)
CMRR = gm*(1/(1/R'1+1/R'2))*(2*Δgm*Rfo)

What is current controlled current source?

An ideal dependent current-controlled current source, CCCS, maintains an output current that is proportional to a controlling input current. Then the output current “depends” on the value of the input current, again making it a dependent current source.

How to Calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load?

Common-Mode Rejection Ratio of MOS with Current-Mirror Load calculator uses Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance) to calculate the Common Mode Rejection Ratio, Common-mode rejection ratio of MOS with Current-Mirror Load formula is defined as metric used to quantify ability of device to reject common-mode signals, i.e. those that appear simultaneously and in phase on both inputs. Common Mode Rejection Ratio is denoted by CMRR symbol.

How to calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load using this online calculator? To use this online calculator for Common-Mode Rejection Ratio of MOS with Current-Mirror Load, enter Transconductance (gm), Primary Winding Resistance in Secondary (R'1), Secondary Winding Resistance in Primary (R'2), Change in Transconductance (Δgm) & Finite Output Resistance (Rfo) and hit the calculate button. Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load calculation can be explained with given input values -> 0.076292 = 0.0005*(1/(1/90+1/300))*(2*0.029*38).

FAQ

What is Common-Mode Rejection Ratio of MOS with Current-Mirror Load?
Common-mode rejection ratio of MOS with Current-Mirror Load formula is defined as metric used to quantify ability of device to reject common-mode signals, i.e. those that appear simultaneously and in phase on both inputs and is represented as CMRR = gm*(1/(1/R'1+1/R'2))*(2*Δgm*Rfo) or Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance). 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, Primary Winding Resistance in Secondary is the Resistance of Primary winding in Secondary coil and capacitance related to mosfet, Secondary Winding Resistance in Primary is the Resistance of Secondary winding in Primary coil and capacitance related to mosfet, Change in Transconductance is a measure of the ability of a device, such as a transistor or vacuum tube, to convert an input voltage signal into an output current signal & Finite output resistance is a term used to describe the characteristic of an electronic circuit or device that limits the amount of current that can be delivered to an external load.
How to calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load?
Common-mode rejection ratio of MOS with Current-Mirror Load formula is defined as metric used to quantify ability of device to reject common-mode signals, i.e. those that appear simultaneously and in phase on both inputs is calculated using Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance). To calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load, you need Transconductance (gm), Primary Winding Resistance in Secondary (R'1), Secondary Winding Resistance in Primary (R'2), Change in Transconductance (Δgm) & Finite Output Resistance (Rfo). With our tool, you need to enter the respective value for Transconductance, Primary Winding Resistance in Secondary, Secondary Winding Resistance in Primary, Change in Transconductance & Finite Output Resistance 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 Rejection Ratio?
In this formula, Common Mode Rejection Ratio uses Transconductance, Primary Winding Resistance in Secondary, Secondary Winding Resistance in Primary, Change in Transconductance & Finite Output Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)
  • Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)
  • Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance)
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