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

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

CMRR - Common Mode Rejection Ratio?g_m - Transconductance?R'₁ - Primary Winding Resistance in Secondary?R'₂ - Secondary Winding Resistance in Primary?Δg_m - Change in Transconductance?R_fo - Finite Output Resistance?

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

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Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load equation looks like with Values.

Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load equation looks like with Units.

Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load equation looks like.

0.0763 = 0.5 \cdot (\frac{1}{\frac{1}{0.09} + \frac{1}{0.3}}) \cdot (2 \cdot 29 \cdot 0.038)

0.0763 = 0.5mS \cdot (\frac{1}{\frac{1}{0.09kΩ} + \frac{1}{0.3kΩ}}) \cdot (2 \cdot 29mS \cdot 0.038kΩ)

0.0763 = 0.5 \cdot (\frac{1}{\frac{1}{0.09} + \frac{1}{0.3}}) \cdot (2 \cdot 29 \cdot 0.038)

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

Follow our step by step solution on how to calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CMRR = 0.5mS \cdot (\frac{1}{\frac{1}{0.09kΩ} + \frac{1}{0.3kΩ}}) \cdot (2 \cdot 29mS \cdot 0.038kΩ)

Next Step Convert Units

∴

CMRR = 0.0005S \cdot (\frac{1}{\frac{1}{90Ω} + \frac{1}{300Ω}}) \cdot (2 \cdot 0.029S \cdot 38Ω)

Next Step Prepare to Evaluate

∴

CMRR = 0.0005 \cdot (\frac{1}{\frac{1}{90} + \frac{1}{300}}) \cdot (2 \cdot 0.029 \cdot 38)

Next Step Evaluate

∴

CMRR = 0.0762923076923077

LAST Step Rounding Answer

∴

CMRR = 0.0763

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