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Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal 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 = (g m \cdot R fo) \cdot (g m \cdot R s)

CMRR - Common Mode Rejection Ratio?g_m - Transconductance?R_fo - Finite Output Resistance?R_s - Source Resistance?

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

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Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal equation looks like with Values.

Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal equation looks like with Units.

Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal equation looks like.

0.0769 = (0.5 \cdot 0.038) \cdot (0.5 \cdot 8.1)

0.0769 = (0.5mS \cdot 0.038kΩ) \cdot (0.5mS \cdot 8.1kΩ)

0.0769 = (0.5 \cdot 0.038) \cdot (0.5 \cdot 8.1)

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

Follow our step by step solution on how to calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CMRR = (0.5mS \cdot 0.038kΩ) \cdot (0.5mS \cdot 8.1kΩ)

Next Step Convert Units

∴

CMRR = (0.0005S \cdot 38Ω) \cdot (0.0005S \cdot 8100Ω)

Next Step Prepare to Evaluate

∴

CMRR = (0.0005 \cdot 38) \cdot (0.0005 \cdot 8100)

Next Step Evaluate

∴

CMRR = 0.07695

LAST Step Rounding Answer

∴

CMRR = 0.0769

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

Finite Output Resistance

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.

Symbol: R_fo

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Finite Output Resistance

Source Resistance

Source Resistance is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

Symbol: R_s

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Source Resistance

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 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 MOS with Current-Mirror Load when Resistance at Drains are Equal?

Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal evaluator uses Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance) to evaluate the Common Mode Rejection Ratio, Common-mode rejection ratio of MOS with Current-Mirror Load when resistance at drains are equal 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 evaluate Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal using this online evaluator? To use this online evaluator for Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal, enter Transconductance (g_m), Finite Output Resistance (R_fo) & Source Resistance (R_s) and hit the calculate button.

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

What is the formula to find Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal?

The formula of Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal is expressed as Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance). Here is an example- 0.07695 = (0.0005*38)*(0.0005*8100).

How to calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal?

With Transconductance (g_m), Finite Output Resistance (R_fo) & Source Resistance (R_s) we can find Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal using the formula - Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source 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=(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=(2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance)

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