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Common-Mode Current Gain of Controlled Source Transistor Formula

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Common-mode current gain refers to the amplification given to signals that appear on both inputs relative to the common (typically ground). Check FAQs

A cmi = - (\frac{1}{2 \cdot g m \cdot R o})

A_cmi - Common-Mode Current Gain?g_m - Transconductance?R_o - Output Resistance?

Common-Mode Current Gain of Controlled Source Transistor Example

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Here is how the Common-Mode Current Gain of Controlled Source Transistor equation looks like with Values.

Here is how the Common-Mode Current Gain of Controlled Source Transistor equation looks like with Units.

Here is how the Common-Mode Current Gain of Controlled Source Transistor equation looks like.

-1.5748 = - (\frac{1}{2 \cdot 0.25 \cdot 1.27})

-1.5748 = - (\frac{1}{2 \cdot 0.25mS \cdot 1.27kΩ})

-1.5748 = - (\frac{1}{2 \cdot 0.25 \cdot 1.27})

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Common-Mode Current Gain of Controlled Source Transistor Solution

Follow our step by step solution on how to calculate Common-Mode Current Gain of Controlled Source Transistor?

FIRST Step Consider the formula

A cmi = - (\frac{1}{2 \cdot g m \cdot R o})

Next Step Substitute values of Variables

∴

A cmi = - (\frac{1}{2 \cdot 0.25mS \cdot 1.27kΩ})

Next Step Convert Units

∴

A cmi = - (\frac{1}{2 \cdot 0.0002S \cdot 1270Ω})

Next Step Prepare to Evaluate

∴

A cmi = - (\frac{1}{2 \cdot 0.0002 \cdot 1270})

Next Step Evaluate

∴

A cmi = -1.5748031496063

LAST Step Rounding Answer

∴

A cmi = -1.5748

Common-Mode Current Gain of Controlled Source Transistor Formula Elements

Variables

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).

Symbol: A_cmi

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common-Mode Current Gain

Transconductance

Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value should be greater than 0.

Formulas to find Transconductance

Output Resistance

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.

Symbol: R_o

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Other formulas in Gain category

Go Common-Mode Gain of Controlled Source Transistor

A cm = 20 \cdot \log 10 (\frac{V ss}{V is})

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

Common-Mode Current Gain of Controlled Source Transistor evaluator uses Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance)) to evaluate 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 evaluate Common-Mode Current Gain of Controlled Source Transistor using this online evaluator? To use this online evaluator for Common-Mode Current Gain of Controlled Source Transistor, enter Transconductance (g_m) & Output Resistance (R_o) and hit the calculate button.

FAQs on Common-Mode Current Gain of Controlled Source Transistor

What is the formula to find Common-Mode Current Gain of Controlled Source Transistor?

The formula of Common-Mode Current Gain of Controlled Source Transistor is expressed as Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance)). Here is an example- -1.574803 = -(1/(2*0.00025*1270)).

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

With Transconductance (g_m) & Output Resistance (R_o) we can find Common-Mode Current Gain of Controlled Source Transistor using the formula - Common-Mode Current Gain = -(1/(2*Transconductance*Output Resistance)).

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