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Common-Mode Rejection Ratio of MOSFET given Resistance Formula

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

GoCommon-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal Formula

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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. Check FAQs

CMRR = \frac{2 \cdot g m \cdot R out}{\frac{ΔR D}{R d}}

CMRR - Common Mode Rejection Ratio?g_m - Transconductance?R_out - Output Resistance?ΔR_D - Change in Drain Resistance?R_d - Drain Resistance?

Common-Mode Rejection Ratio of MOSFET given Resistance Example

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Here is how the Common-Mode Rejection Ratio of MOSFET given Resistance equation looks like with Values.

Here is how the Common-Mode Rejection Ratio of MOSFET given Resistance equation looks like with Units.

Here is how the Common-Mode Rejection Ratio of MOSFET given Resistance equation looks like.

0.0785 = \frac{2 \cdot 0.5 \cdot 4.5}{\frac{16}{0.279}}

0.0785 = \frac{2 \cdot 0.5mS \cdot 4.5kΩ}{\frac{16kΩ}{0.279kΩ}}

0.0785 = \frac{2 \cdot 0.5 \cdot 4.5}{\frac{16}{0.279}}

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Common-Mode Rejection Ratio of MOSFET given Resistance Solution

Follow our step by step solution on how to calculate Common-Mode Rejection Ratio of MOSFET given Resistance?

FIRST Step Consider the formula

CMRR = \frac{2 \cdot g m \cdot R out}{\frac{ΔR D}{R d}}

Next Step Substitute values of Variables

∴

CMRR = \frac{2 \cdot 0.5mS \cdot 4.5kΩ}{\frac{16kΩ}{0.279kΩ}}

Next Step Convert Units

∴

CMRR = \frac{2 \cdot 0.0005S \cdot 4500Ω}{\frac{16000Ω}{279Ω}}

Next Step Prepare to Evaluate

∴

CMRR = \frac{2 \cdot 0.0005 \cdot 4500}{\frac{16000}{279}}

Next Step Evaluate

∴

CMRR = 0.07846875

LAST Step Rounding Answer

∴

CMRR = 0.0785

Common-Mode Rejection Ratio of MOSFET given Resistance Formula Elements

Variables

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.

Symbol: CMRR

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Common Mode Rejection Ratio

Transconductance

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.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Output Resistance

Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Change in Drain Resistance

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.

Symbol: ΔR_D

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Change in Drain Resistance

Drain Resistance

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.

Symbol: R_d

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Drain Resistance

Other Formulas to find Common Mode Rejection Ratio

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

CMRR = g m \cdot (\frac{1}{\frac{1}{R' 1} + \frac{1}{R' 2}}) \cdot (2 \cdot Δg m \cdot R fo)

Go Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal

CMRR = (g m \cdot R fo) \cdot (g m \cdot R s)

Go Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches

CMRR = \frac{2 \cdot g m \cdot R out}{\frac{Δg m}{g m}}

Go Common-Mode Rejection Ratio of MOSFET

CMRR = mod \underset{̲}{u} s (\frac{A v}{A cm})

Other formulas in Common Mode Rejection Ratio (CMRR) category

Go Common-Mode Signal of MOSFET given Resistance

V cin = \frac{2 \cdot R out \cdot V out}{R L}

Go Common-Mode Rejection Ratio of MOSFET in Decibels

CMRR db = mod \underset{̲}{u} s (20 \cdot \log 10 (\frac{A v}{A cm(db)}))

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

v o1 = \frac{2 \cdot R out \cdot V cin}{R d}

Go Common-Mode Input Signal of MOSFET

V cin = (\frac{I t}{g m}) + (2 \cdot I t \cdot R tl)

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

Common-Mode Rejection Ratio of MOSFET given Resistance evaluator uses Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance) to evaluate 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 evaluate Common-Mode Rejection Ratio of MOSFET given Resistance using this online evaluator? To use this online evaluator 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.

FAQs on Common-Mode Rejection Ratio of MOSFET given Resistance

What is the formula to find Common-Mode Rejection Ratio of MOSFET given Resistance?

The formula of Common-Mode Rejection Ratio of MOSFET given Resistance is expressed as Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance). Here is an example- 0.078469 = (2*0.0005*4500)/(16000/279).

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

With Transconductance (g_m), Output Resistance (R_out), Change in Drain Resistance (ΔR_D) & Drain Resistance (R_d) we can find Common-Mode Rejection Ratio of MOSFET given Resistance using the formula - Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance).

What are the other ways to Calculate Common Mode Rejection Ratio?

Here are the different ways to Calculate Common Mode Rejection Ratio-

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)

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Common-Mode Rejection Ratio of MOSFET given Resistance Formula

​GoCommon-Mode Rejection Ratio of MOS with Current-Mirror Load Formula

​GoCommon-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal Formula

Common-Mode Rejection Ratio of MOSFET given Resistance Example

Common-Mode Rejection Ratio of MOSFET given Resistance Solution

Common-Mode Rejection Ratio of MOSFET given Resistance Formula Elements

Other Formulas to find Common Mode Rejection Ratio

Other formulas in Common Mode Rejection Ratio (CMRR) category

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

FAQs on Common-Mode Rejection Ratio of MOSFET given Resistance

Variable Name

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

GoCommon-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal Formula