Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal
vo2 = -(Rout/((1/gm)+2*Rout))*Vcin
This formula uses 4 Variables
Variables Used
Drain Voltage Q2 - (Measured in Volt) - Drain Voltage Q2 is voltage taken at Drain terminal at one transistor Q2 in Differential Circuit.
Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
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.
Common Mode Input Signal - (Measured in Volt) - A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.
STEP 1: Convert Input(s) to Base Unit
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Common Mode Input Signal: 84.7 Volt --> 84.7 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vo2 = -(Rout/((1/gm)+2*Rout))*Vcin --> -(4500/((1/0.0005)+2*4500))*84.7
Evaluating ... ...
vo2 = -34.65
STEP 3: Convert Result to Output's Unit
-34.65 Volt --> No Conversion Required
FINAL ANSWER
-34.65 Volt <-- Drain Voltage Q2
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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20 Voltage Calculators

Conductance of Channel of MOSFET using Gate to Source Voltage
Go Conductance of Channel = Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width/Channel Length*(Gate-Source Voltage-Threshold Voltage)
Common Gate Output Voltage
Go Output Voltage = -(Transconductance*Critical Voltage)*((Load Resistance*Gate Resistance)/(Gate Resistance+Load Resistance))
Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal
Go Drain Voltage Q1 = -Output Resistance*(Transconductance*Common Mode Input Signal)/(1+(2*Transconductance*Output Resistance))
Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage
Go Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
Source Input Voltage
Go Source Input Voltage = Input Voltage*(Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance))
Input Gate-to-Source Voltage
Go Critical Voltage = (Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance)) *Input Voltage
Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal
Go Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal
Voltage across Gate and Source of MOSFET given Input Current
Go Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Positive Voltage given Device Parameter in MOSFET
Go Input Current = Gate-Source Voltage*(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Overdrive Voltage when MOSFET Acts as Amplifier with Load Resistance
Go Transconductance = Total Current/(Common Mode Input Signal-(2*Total Current*Output Resistance))
Incremental Voltage Signal of Differential Amplifier
Go Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)
Voltage at Drain Q1 of MOSFET
Go Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
Voltage at Drain Q2 in MOSFET
Go Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
Saturation Voltage of MOSFET
Go Drain and Source Saturation Voltage = Gate-Source Voltage-Threshold Voltage
Voltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage
Go Gate-Source Voltage = Threshold Voltage+1.4*Effective Voltage
Threshold Voltage when MOSFET Acts as Amplifier
Go Threshold Voltage = Gate-Source Voltage-Effective Voltage
Treshold Voltage of MOSFET
Go Threshold Voltage = Gate-Source Voltage-Effective Voltage
Overdrive Voltage
Go Overdrive Voltage = (2*Drain Current)/Transconductance
Output Voltage at Drain Q1 of MOSFET
Go Drain Voltage Q1 = -(Output Resistance*Total Current)
Output Voltage at Drain Q2 of MOSFET
Go Drain Voltage Q2 = -(Output Resistance*Total Current)

Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal Formula

Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal
vo2 = -(Rout/((1/gm)+2*Rout))*Vcin

What does common mode rejection do?

Common-mode rejection is the ability of the differential amplifier (which sits between the oscilloscope and probes as a signal-conditioning preamp) to eliminate the common-mode voltage from the output. But as signal frequencies rise, CMRR deteriorates.

How to Calculate Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal?

Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal calculator uses Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal to calculate the Drain Voltage Q2, The Output voltage at drain Q2 of MOSFET given common-mode signal formula is defined as the voltage released by a device, such as a voltage regulator or a generator. Drain Voltage Q2 is denoted by vo2 symbol.

How to calculate Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal using this online calculator? To use this online calculator for Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal, enter Output Resistance (Rout), Transconductance (gm) & Common Mode Input Signal (Vcin) and hit the calculate button. Here is how the Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal calculation can be explained with given input values -> -34.65 = -(4500/((1/0.0005)+2*4500))*84.7.

FAQ

What is Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal?
The Output voltage at drain Q2 of MOSFET given common-mode signal formula is defined as the voltage released by a device, such as a voltage regulator or a generator and is represented as vo2 = -(Rout/((1/gm)+2*Rout))*Vcin or Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal. Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output, 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 & A common mode input signal is a type of electrical signal that appears equally on both input terminals of a differential amplifier.
How to calculate Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal?
The Output voltage at drain Q2 of MOSFET given common-mode signal formula is defined as the voltage released by a device, such as a voltage regulator or a generator is calculated using Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal. To calculate Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal, you need Output Resistance (Rout), Transconductance (gm) & Common Mode Input Signal (Vcin). With our tool, you need to enter the respective value for Output Resistance, Transconductance & Common Mode Input Signal 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 Drain Voltage Q2?
In this formula, Drain Voltage Q2 uses Output Resistance, Transconductance & Common Mode Input Signal. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drain Voltage Q2 = -(Output Resistance*Total Current)
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