Common-Mode Gain of Controlled Source Transistor Calculator

✖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).ⓘ Small Signal [V_ss]			+10% -10%
✖The Differential Input Signal is simply the difference between the two input signals v1 and v2.ⓘ Differential Input Signal [V_is]			+10% -10%

✖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.ⓘ Common-Mode Gain of Controlled Source Transistor [A_cm]

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Common-Mode Gain of Controlled Source Transistor

Formula

`"A"_{"cm"} = 20*log10("V"_{"ss"}/"V"_{"is"})`

Example

`"6.251266dB"=20*log10("7.25V"/"3.53V")`

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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)
A_cm = 20*log10(V_ss/V_is)
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

A_cm = 20*log10(V_ss/V_is) --> 20*log10(7.25/3.53)

Evaluating ... ...

A_cm = 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 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 2 Gain Calculators

Common-Mode Gain of Controlled Source Transistor

Go Common Mode Gain = 20*log10(Small Signal/Differential Input Signal)

Common-Mode Current Gain of Controlled Source Transistor

Go Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance))

Common-Mode Gain of Controlled Source Transistor Formula

Common Mode Gain = 20*log10(Small Signal/Differential Input Signal)
A_cm = 20*log10(V_ss/V_is)

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 A_cm 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 (V_ss) & Differential Input Signal (V_is) 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 A_cm = 20*log10(V_ss/V_is) 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 (V_ss) & Differential Input Signal (V_is). 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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