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

✖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.ⓘ Transconductance [g_m]			+10% -10%
✖Primary Winding Resistance in Secondary is the Resistance of Primary winding in Secondary coil and capacitance related to mosfet.ⓘ Primary Winding Resistance in Secondary [R'₁]			+10% -10%
✖Secondary Winding Resistance in Primary is the Resistance of Secondary winding in Primary coil and capacitance related to mosfet.ⓘ Secondary Winding Resistance in Primary [R'₂]			+10% -10%
✖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.ⓘ Change in Transconductance [Δg_m]			+10% -10%
✖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.ⓘ Finite Output Resistance [R_fo]			+10% -10%

✖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.ⓘ Common-Mode Rejection Ratio of MOS with Current-Mirror Load [CMRR]

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

Formula

`"CMRR" = "g"_{"m"}*(1/(1/"R'"_{"1"}+1/"R'"_{"2"}))*(2*"Δg"_{"m"}*"R"_{"fo"})`

Example

`"0.076292"="0.5mS"*(1/(1/"0.09kΩ"+1/"0.3kΩ"))*(2*"29mS"*"0.038kΩ")`

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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 = g_m*(1/(1/R'₁+1/R'₂))*(2*Δg_m*R_fo)
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 = g_m*(1/(1/R'₁+1/R'₂))*(2*Δg_m*R_fo) --> 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 00.004 seconds)

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< 10+ Common Mode Rejection Ratio (CMRR) Calculators

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

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 when Transconductance Mismatches

Go Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance)

Common-Mode Rejection Ratio of MOSFET given Resistance

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

Go Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)

Common-Mode Input Signal of MOSFET

Go Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Total Load Resistance of MOSFET)

Common-Mode Rejection Ratio of MOS Controlled Source Transistor

Go Common Mode Rejection Ratio in DB = (modulus(Differential Gain DB))/(modulus(Common Mode Gain DB))

Common-Mode Rejection Ratio of MOSFET in Decibels

Go Common Mode Rejection Ratio in DB = modulus(20*log10((Voltage Gain)/(Common Mode Gain DB)))

Common-Mode Signal of MOSFET given Output Voltage at Drain Q2

Go Drain Voltage Q1 = (2*Output Resistance*Common Mode Input Signal)/Drain Resistance

Common-Mode Signal of MOSFET given Resistance

Go Common Mode Input Signal = (2*Output Resistance*Output Voltage)/Load Resistance

Common-Mode Rejection Ratio of MOSFET

Go Common Mode Rejection Ratio = modulus((Voltage Gain)/(Common Mode Gain))

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

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 (g_m), Primary Winding Resistance in Secondary (R'₁), Secondary Winding Resistance in Primary (R'₂), Change in Transconductance (Δg_m) & Finite Output Resistance (R_fo) 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 = g_m*(1/(1/R'₁+1/R'₂))*(2*Δg_m*R_fo) 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 (g_m), Primary Winding Resistance in Secondary (R'₁), Secondary Winding Resistance in Primary (R'₂), Change in Transconductance (Δg_m) & Finite Output Resistance (R_fo). 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 4 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)
Common Mode Rejection Ratio = modulus((Voltage Gain)/(Common Mode Gain))

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