Common-Mode Current Gain of Controlled Source Transistor Calculator

✖Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.ⓘ Transconductance [g_m]			+10% -10%
✖Output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.ⓘ Output Resistance [R_o]			+10% -10%

✖Common-mode current gain refers to the amplification given to signals that appear on both inputs relative to the common (typically ground).ⓘ Common-Mode Current Gain of Controlled Source Transistor [A_cmi]

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Common-Mode Current Gain of Controlled Source Transistor

Formula

`"A"_{"cmi"} = -(1/(2*"g"_{"m"}*"R"_{"o"}))`

Example

`"-1.574803"=-(1/(2*"0.25mS"*"1.27kΩ"))`

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Common-Mode Current Gain of Controlled Source Transistor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance))
A_cmi = -(1/(2*g_m*R_o))
This formula uses 3 Variables

Variables Used

Common-Mode Current Gain - Common-mode current gain refers to the amplification given to signals that appear on both inputs relative to the common (typically ground).
Transconductance - (Measured in Siemens) - Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Output Resistance - (Measured in Ohm) - Output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.25 Millisiemens --> 0.00025 Siemens (Check conversion here)
Output Resistance: 1.27 Kilohm --> 1270 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cmi = -(1/(2*g_m*R_o)) --> -(1/(2*0.00025*1270))

Evaluating ... ...

A_cmi = -1.5748031496063

STEP 3: Convert Result to Output's Unit

-1.5748031496063 --> No Conversion Required

FINAL ANSWER

-1.5748031496063 ≈ -1.574803 <-- Common-Mode Current Gain

(Calculation completed in 00.004 seconds)

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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 Current Gain of Controlled Source Transistor Formula

Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance))
A_cmi = -(1/(2*g_m*R_o))

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 Current Gain of Controlled Source Transistor?

Common-Mode Current Gain of Controlled Source Transistor calculator uses Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance)) to calculate the Common-Mode Current Gain, Common-mode current gain of controlled source transistor formula is defined as change in collector current divided by change in emitter current when base-to-collector voltage is constant. typical common-base current gain in well-designed bipolar transistor is very close to unity. Common-Mode Current Gain is denoted by A_cmi symbol.

How to calculate Common-Mode Current Gain of Controlled Source Transistor using this online calculator? To use this online calculator for Common-Mode Current Gain of Controlled Source Transistor, enter Transconductance (g_m) & Output Resistance (R_o) and hit the calculate button. Here is how the Common-Mode Current Gain of Controlled Source Transistor calculation can be explained with given input values -> -1.574803 = -(1/(2*0.00025*1270)).

FAQ

What is Common-Mode Current Gain of Controlled Source Transistor?

Common-mode current gain of controlled source transistor formula is defined as change in collector current divided by change in emitter current when base-to-collector voltage is constant. typical common-base current gain in well-designed bipolar transistor is very close to unity and is represented as A_cmi = -(1/(2*g_m*R_o)) or Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance)). Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage & Output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.

How to calculate Common-Mode Current Gain of Controlled Source Transistor?

Common-mode current gain of controlled source transistor formula is defined as change in collector current divided by change in emitter current when base-to-collector voltage is constant. typical common-base current gain in well-designed bipolar transistor is very close to unity is calculated using Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance)). To calculate Common-Mode Current Gain of Controlled Source Transistor, you need Transconductance (g_m) & Output Resistance (R_o). With our tool, you need to enter the respective value for Transconductance & Output Resistance 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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