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Current Gain of Controlled Source Transistor Formula

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Current Gain is the ratio of output current to the input current of an amplifier is defined as current gain. Check FAQs

A i = \frac{1}{1 + \frac{1}{g mp \cdot R dg}}

A_i - Current Gain?g_mp - MOSFET Primary Transconductance?R_dg - Resistance between Drain and Ground?

Current Gain of Controlled Source Transistor Example

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

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

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

0.8259 = \frac{1}{1 + \frac{1}{19.77 \cdot 0.24}}

0.8259 = \frac{1}{1 + \frac{1}{19.77mS \cdot 0.24kΩ}}

0.8259 = \frac{1}{1 + \frac{1}{19.77 \cdot 0.24}}

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Current Gain of Controlled Source Transistor Solution

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

FIRST Step Consider the formula

A i = \frac{1}{1 + \frac{1}{g mp \cdot R dg}}

Next Step Substitute values of Variables

∴

A i = \frac{1}{1 + \frac{1}{19.77mS \cdot 0.24kΩ}}

Next Step Convert Units

∴

A i = \frac{1}{1 + \frac{1}{0.0198S \cdot 240Ω}}

Next Step Prepare to Evaluate

∴

A i = \frac{1}{1 + \frac{1}{0.0198 \cdot 240}}

Next Step Evaluate

∴

A i = 0.825929536276285

LAST Step Rounding Answer

∴

A i = 0.8259

Current Gain of Controlled Source Transistor Formula Elements

Variables

Current Gain

Current Gain is the ratio of output current to the input current of an amplifier is defined as current gain.

Symbol: A_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Current Gain

MOSFET Primary Transconductance

MOSFET Primary 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_mp

Measurement: TransconductanceUnit: mS

Note: Value should be greater than 0.

Formulas to find MOSFET Primary Transconductance

Resistance between Drain and Ground

Resistance between Drain and Ground is the resistance that is from drain terminal of first transistor and ground .

Symbol: R_dg

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance between Drain and Ground

Other formulas in Common Source Amplifier category

Go Common Base Current Gain

α = (A v \cdot \frac{R e}{R c})

Go Negative Voltage Gain from Base to Collector

A vn = - α \cdot (\frac{R c}{R e})

Go Voltage Gain of Common-Base Amplifier

A v = \frac{V c}{V e}

Go Overall Feedback Voltage Gain of Common-Collector Amplifier

G v = \frac{(β + 1) \cdot R L}{(β + 1) \cdot R L + (β + 1) \cdot R e + R sig}

How to Evaluate Current Gain of Controlled Source Transistor?

Current Gain of Controlled Source Transistor evaluator uses Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground)) to evaluate the Current Gain, 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. Current Gain is denoted by A_i symbol.

How to evaluate Current Gain of Controlled Source Transistor using this online evaluator? To use this online evaluator for Current Gain of Controlled Source Transistor, enter MOSFET Primary Transconductance (g_mp) & Resistance between Drain and Ground (R_dg) and hit the calculate button.

FAQs on Current Gain of Controlled Source Transistor

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

The formula of Current Gain of Controlled Source Transistor is expressed as Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground)). Here is an example- 0.82593 = 1/(1+1/(0.01977*240)).

How to calculate Current Gain of Controlled Source Transistor?

With MOSFET Primary Transconductance (g_mp) & Resistance between Drain and Ground (R_dg) we can find Current Gain of Controlled Source Transistor using the formula - Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground)).

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Current Gain of Controlled Source Transistor Formula

Current Gain of Controlled Source Transistor Example

Current Gain of Controlled Source Transistor Solution

Current Gain of Controlled Source Transistor Formula Elements

Other formulas in Common Source Amplifier category

How to Evaluate Current Gain of Controlled Source Transistor?

FAQs on Current Gain of Controlled Source Transistor

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