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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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Home » Engineering » Electronics » Analog Electronics » Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches

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.

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.

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.

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.

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Formula and 600+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

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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