Common-Mode Rejection Ratio of MOSFET given Resistance 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%
✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance [R_out]			+10% -10%
✖Change in Drain Resistance is a measure when the two drain resistances exhibit a mismatch, as they inevitably do, the common-mode voltages at the two drains will no longer be equal.ⓘ Change in Drain Resistance [ΔR_D]			+10% -10%
✖Drain resistance is the resistance seen looking into the drain terminal of a FET when a voltage is applied to the gate. It is an important parameter that affects the performance of FET circuits.ⓘ Drain Resistance [R_d]			+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 MOSFET given Resistance [CMRR]

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Formula

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Common-Mode Rejection Ratio of MOSFET given Resistance

Formula

`"CMRR" = (2*"g"_{"m"}*"R"_{"out"})/("ΔR"_{"D"}/"R"_{"d"})`

Example

`"0.078469"=(2*"0.5mS"*"4.5kΩ")/("16kΩ"/"0.279kΩ")`

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Common-Mode Rejection Ratio of MOSFET given Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)
CMRR = (2*g_m*R_out)/(ΔR_D/R_d)
This formula uses 5 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.
Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
Change in Drain Resistance - (Measured in Ohm) - Change in Drain Resistance is a measure when the two drain resistances exhibit a mismatch, as they inevitably do, the common-mode voltages at the two drains will no longer be equal.
Drain Resistance - (Measured in Ohm) - Drain resistance is the resistance seen looking into the drain terminal of a FET when a voltage is applied to the gate. It is an important parameter that affects the performance of FET circuits.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
Change in Drain Resistance: 16 Kilohm --> 16000 Ohm (Check conversion here)
Drain Resistance: 0.279 Kilohm --> 279 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CMRR = (2*g_m*R_out)/(ΔR_D/R_d) --> (2*0.0005*4500)/(16000/279)

Evaluating ... ...

CMRR = 0.07846875

STEP 3: Convert Result to Output's Unit

0.07846875 --> No Conversion Required

FINAL ANSWER

0.07846875 ≈ 0.078469 <-- 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 MOSFET given Resistance Formula

Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)
CMRR = (2*g_m*R_out)/(ΔR_D/R_d)

What does common mode rejection do?

Common-mode rejection is the ability of the differential amplifier (which sits between the oscilloscope and probes as a signal-conditioning preamp) to eliminate the common-mode voltage from the output. But as signal frequencies rise, CMRR deteriorates.

How to Calculate Common-Mode Rejection Ratio of MOSFET given Resistance?

Common-Mode Rejection Ratio of MOSFET given Resistance calculator uses Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance) to calculate the Common Mode Rejection Ratio, The Common-mode rejection ratio of MOSFET given resistance formula is defined as a differential amplifier (or other devices) is a metric used to quantify the ability of the 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 MOSFET given Resistance using this online calculator? To use this online calculator for Common-Mode Rejection Ratio of MOSFET given Resistance, enter Transconductance (g_m), Output Resistance (R_out), Change in Drain Resistance (ΔR_D) & Drain Resistance (R_d) and hit the calculate button. Here is how the Common-Mode Rejection Ratio of MOSFET given Resistance calculation can be explained with given input values -> 0.078469 = (2*0.0005*4500)/(16000/279).

FAQ

What is Common-Mode Rejection Ratio of MOSFET given Resistance?

The Common-mode rejection ratio of MOSFET given resistance formula is defined as a differential amplifier (or other devices) is a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in-phase on both inputs and is represented as CMRR = (2*g_m*R_out)/(ΔR_D/R_d) or Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain 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, Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output, Change in Drain Resistance is a measure when the two drain resistances exhibit a mismatch, as they inevitably do, the common-mode voltages at the two drains will no longer be equal & Drain resistance is the resistance seen looking into the drain terminal of a FET when a voltage is applied to the gate. It is an important parameter that affects the performance of FET circuits.

How to calculate Common-Mode Rejection Ratio of MOSFET given Resistance?

The Common-mode rejection ratio of MOSFET given resistance formula is defined as a differential amplifier (or other devices) is a metric used to quantify the ability of the 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 = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance). To calculate Common-Mode Rejection Ratio of MOSFET given Resistance, you need Transconductance (g_m), Output Resistance (R_out), Change in Drain Resistance (ΔR_D) & Drain Resistance (R_d). With our tool, you need to enter the respective value for Transconductance, Output Resistance, Change in Drain Resistance & Drain 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, Output Resistance, Change in Drain Resistance & Drain Resistance. We can use 4 other way(s) to calculate the same, which is/are as follows -

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 = (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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