Common Mode Gain of BJT Differential Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Mode Gain = Differential Output Voltage/Differential Input Voltage
Acm = Vod/Vid
This formula uses 3 Variables
Variables Used
Common Mode Gain - Common Mode Gain refers to the amplification given to signals that appear on both inputs relative to the common (typically ground).
Differential Output Voltage - (Measured in Volt) - Differential Output Voltage is defined as a measure of the voltage between two distinct output signals.
Differential Input Voltage - (Measured in Volt) - Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND.
STEP 1: Convert Input(s) to Base Unit
Differential Output Voltage: 16 Volt --> 16 Volt No Conversion Required
Differential Input Voltage: 7.5 Volt --> 7.5 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Acm = Vod/Vid --> 16/7.5
Evaluating ... ...
Acm = 2.13333333333333
STEP 3: Convert Result to Output's Unit
2.13333333333333 --> No Conversion Required
FINAL ANSWER
2.13333333333333 2.133333 <-- Common Mode Gain
(Calculation completed in 00.004 seconds)

Credits

Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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4 DC Offset Calculators

Common Mode Rejection Ratio of BJT Differential Amplifier in dB
Go Common Mode Rejection Ratio = 20*log10(modulus(Differential Gain/Common Mode Gain))
Input Offset Voltage of BJT Differential Amplifier
Go Input Offset Voltage = Threshold Voltage*(Change in Collector Resistance/Collector Resistance)
Input Offset Current of Differential Amplifier
Go Input Offset Current = modulus(Input Bias Current 1-Input Bias Current 2)
Common Mode Gain of BJT Differential Amplifier
Go Common Mode Gain = Differential Output Voltage/Differential Input Voltage

Common Mode Gain of BJT Differential Amplifier Formula

Common Mode Gain = Differential Output Voltage/Differential Input Voltage
Acm = Vod/Vid

Can the output voltage be less than the input voltage in an amplifier?

No, the output voltage will always be greater than the input voltage because the main purpose of an amplifier is the amplification of the input signal. This amplification of the amplifier is measured using a quantity known as voltage gain.

How to Calculate Common Mode Gain of BJT Differential Amplifier?

Common Mode Gain of BJT Differential Amplifier calculator uses Common Mode Gain = Differential Output Voltage/Differential Input Voltage to calculate the Common Mode Gain, Common Mode Gain of BJT Differential Amplifier is defined as to the amplification given to signals that appear on both inputs relative to the common (typically ground). Common Mode Gain is denoted by Acm symbol.

How to calculate Common Mode Gain of BJT Differential Amplifier using this online calculator? To use this online calculator for Common Mode Gain of BJT Differential Amplifier, enter Differential Output Voltage (Vod) & Differential Input Voltage (Vid) and hit the calculate button. Here is how the Common Mode Gain of BJT Differential Amplifier calculation can be explained with given input values -> 3.333333 = 16/7.5.

FAQ

What is Common Mode Gain of BJT Differential Amplifier?
Common Mode Gain of BJT Differential Amplifier is defined as to the amplification given to signals that appear on both inputs relative to the common (typically ground) and is represented as Acm = Vod/Vid or Common Mode Gain = Differential Output Voltage/Differential Input Voltage. Differential Output Voltage is defined as a measure of the voltage between two distinct output signals & Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND.
How to calculate Common Mode Gain of BJT Differential Amplifier?
Common Mode Gain of BJT Differential Amplifier is defined as to the amplification given to signals that appear on both inputs relative to the common (typically ground) is calculated using Common Mode Gain = Differential Output Voltage/Differential Input Voltage. To calculate Common Mode Gain of BJT Differential Amplifier, you need Differential Output Voltage (Vod) & Differential Input Voltage (Vid). With our tool, you need to enter the respective value for Differential Output Voltage & Differential Input Voltage 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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