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Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches Formula

GoCommon-Mode Rejection Ratio of MOSFET given Resistance Formula

GoCommon-Mode Rejection Ratio of MOS with Current-Mirror Load 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{Δg m}{g m}}

CMRR - Common Mode Rejection Ratio?g_m - Transconductance?R_out - Output Resistance?Δg_m - Change in Transconductance?

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches Example

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Here is how the Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches equation looks like with Values.

Here is how the Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches equation looks like with Units.

Here is how the Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches equation looks like.

0.0776 = \frac{2 \cdot 0.5 \cdot 4.5}{\frac{29}{0.5}}

0.0776 = \frac{2 \cdot 0.5mS \cdot 4.5kΩ}{\frac{29mS}{0.5mS}}

0.0776 = \frac{2 \cdot 0.5 \cdot 4.5}{\frac{29}{0.5}}

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Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches Solution

Follow our step by step solution on how to calculate Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CMRR = \frac{2 \cdot 0.5mS \cdot 4.5kΩ}{\frac{29mS}{0.5mS}}

Next Step Convert Units

∴

CMRR = \frac{2 \cdot 0.0005S \cdot 4500Ω}{\frac{0.029S}{0.0005S}}

Next Step Prepare to Evaluate

∴

CMRR = \frac{2 \cdot 0.0005 \cdot 4500}{\frac{0.029}{0.0005}}

Next Step Evaluate

∴

CMRR = 0.0775862068965517

LAST Step Rounding Answer

∴

CMRR = 0.0776

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches 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 Transconductance

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.

Symbol: Δg_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Change in Transconductance

Other Formulas to find Common Mode Rejection Ratio

Go Common-Mode Rejection Ratio of MOSFET given Resistance

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

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

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 when Transconductance Mismatches?

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches evaluator uses Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance) to evaluate the Common Mode Rejection Ratio, The Common-mode rejection ratio of MOSFET when transconductance mismatches 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 when Transconductance Mismatches using this online evaluator? To use this online evaluator for Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches, enter Transconductance (g_m), Output Resistance (R_out) & Change in Transconductance (Δg_m) and hit the calculate button.

FAQs on Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches

What is the formula to find Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches?

The formula of Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches is expressed as Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance). Here is an example- 0.077586 = (2*0.0005*4500)/(0.029/0.0005).

How to calculate Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches?

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

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=(2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)
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)

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