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.

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