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

STEP 0: Pre-Calculation Summary
Formula Used
Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)
CMRR = (gm*Rfo)*(gm*Rs)
This formula uses 4 Variables
Variables Used
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.
Transconductance - (Measured in Siemens) - 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.
Finite Output Resistance - (Measured in Ohm) - 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.
Source Resistance - (Measured in Ohm) - 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.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Finite Output Resistance: 0.038 Kilohm --> 38 Ohm (Check conversion here)
Source Resistance: 8.1 Kilohm --> 8100 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CMRR = (gm*Rfo)*(gm*Rs) --> (0.0005*38)*(0.0005*8100)
Evaluating ... ...
CMRR = 0.07695
STEP 3: Convert Result to Output's Unit
0.07695 --> No Conversion Required
FINAL ANSWER
0.07695 <-- Common Mode Rejection Ratio
(Calculation completed in 00.004 seconds)

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

Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)
CMRR = (gm*Rfo)*(gm*Rs)

What is current controlled current source?

An ideal dependent current-controlled current source, CCCS, maintains an output current that is proportional to a controlling input current. Then the output current “depends” on the value of the input current, again making it a dependent current source.

How to Calculate 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 calculator uses Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance) to calculate 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 calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal using this online calculator? To use this online calculator for Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal, enter Transconductance (gm), Finite Output Resistance (Rfo) & Source Resistance (Rs) and hit the calculate button. Here is how the Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal calculation can be explained with given input values -> 0.07695 = (0.0005*38)*(0.0005*8100).

FAQ

What is 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 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 and is represented as CMRR = (gm*Rfo)*(gm*Rs) or Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance). 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, 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 & 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.
How to calculate 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 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 is calculated using Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance). To calculate Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal, you need Transconductance (gm), Finite Output Resistance (Rfo) & Source Resistance (Rs). With our tool, you need to enter the respective value for Transconductance, Finite Output Resistance & Source Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Common Mode Rejection Ratio?
In this formula, Common Mode Rejection Ratio uses Transconductance, Finite Output Resistance & Source Resistance. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Common Mode Rejection Ratio = modulus((Voltage Gain)/(Common Mode Gain))
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