Common-Mode Gain of Controlled Source Transistor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Mode Gain = 20*log10(Small Signal/Differential Input Signal)
Acm = 20*log10(Vss/Vis)
This formula uses 1 Functions, 3 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Common Mode Gain - (Measured in Decibel) - Common Mode Gain is typically much smaller than the differential gain. Acm is the gain given to a voltage that appears on both input terminals with respect to the ground.
Small Signal - (Measured in Volt) - A small signal is an AC signal (more technically, a signal having zero average value) superimposed on a bias signal (or superimposed on a DC constant signal).
Differential Input Signal - (Measured in Volt) - The Differential Input Signal is simply the difference between the two input signals v1 and v2.
STEP 1: Convert Input(s) to Base Unit
Small Signal: 7.25 Volt --> 7.25 Volt No Conversion Required
Differential Input Signal: 3.53 Volt --> 3.53 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Acm = 20*log10(Vss/Vis) --> 20*log10(7.25/3.53)
Evaluating ... ...
Acm = 6.25126602366342
STEP 3: Convert Result to Output's Unit
6.25126602366342 Decibel --> No Conversion Required
FINAL ANSWER
6.25126602366342 6.251266 Decibel <-- Common Mode Gain
(Calculation completed in 00.006 seconds)

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Common-Mode Gain of Controlled Source Transistor
​ LaTeX ​ Go Common Mode Gain = 20*log10(Small Signal/Differential Input Signal)
Common-Mode Current Gain of Controlled Source Transistor
​ LaTeX ​ Go Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance))

Common-Mode Gain of Controlled Source Transistor Formula

​LaTeX ​Go
Common Mode Gain = 20*log10(Small Signal/Differential Input Signal)
Acm = 20*log10(Vss/Vis)

What is the difference between common mode and differential mode?

The common-mode refers to signals or noise that flow in the same direction in a pair of lines. The differential (normal) mode refers to signals or noise that flow in opposite directions in a pair of lines.

How to Calculate Common-Mode Gain of Controlled Source Transistor?

Common-Mode Gain of Controlled Source Transistor calculator uses Common Mode Gain = 20*log10(Small Signal/Differential Input Signal) to calculate the Common Mode Gain, The Common-mode gain of controlled source transistor formula is defined as the amplification given to signals that appear on both inputs relative to the common (typically ground). You will recall from a previous discussion that a differential amplifier is designed to amplify the difference between the two voltages applied to its inputs. Common Mode Gain is denoted by Acm symbol.

How to calculate Common-Mode Gain of Controlled Source Transistor using this online calculator? To use this online calculator for Common-Mode Gain of Controlled Source Transistor, enter Small Signal (Vss) & Differential Input Signal (Vis) and hit the calculate button. Here is how the Common-Mode Gain of Controlled Source Transistor calculation can be explained with given input values -> 6.251266 = 20*log10(7.25/3.53).

FAQ

What is Common-Mode Gain of Controlled Source Transistor?
The Common-mode gain of controlled source transistor formula is defined as the amplification given to signals that appear on both inputs relative to the common (typically ground). You will recall from a previous discussion that a differential amplifier is designed to amplify the difference between the two voltages applied to its inputs and is represented as Acm = 20*log10(Vss/Vis) or Common Mode Gain = 20*log10(Small Signal/Differential Input Signal). A small signal is an AC signal (more technically, a signal having zero average value) superimposed on a bias signal (or superimposed on a DC constant signal) & The Differential Input Signal is simply the difference between the two input signals v1 and v2.
How to calculate Common-Mode Gain of Controlled Source Transistor?
The Common-mode gain of controlled source transistor formula is defined as the amplification given to signals that appear on both inputs relative to the common (typically ground). You will recall from a previous discussion that a differential amplifier is designed to amplify the difference between the two voltages applied to its inputs is calculated using Common Mode Gain = 20*log10(Small Signal/Differential Input Signal). To calculate Common-Mode Gain of Controlled Source Transistor, you need Small Signal (Vss) & Differential Input Signal (Vis). With our tool, you need to enter the respective value for Small Signal & Differential Input Signal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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