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Common-Base Current Gain Formula

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Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons. Check FAQs

α = \frac{β}{β + 1}

α - Common-Base Current Gain?β - Common Emitter Current Gain?

Common-Base Current Gain Example

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Here is how the Common-Base Current Gain equation looks like with Values.

Here is how the Common-Base Current Gain equation looks like with Units.

Here is how the Common-Base Current Gain equation looks like.

0.9848 = \frac{65}{65 + 1}

0.9848 = \frac{65}{65 + 1}

0.9848 = \frac{65}{65 + 1}

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Common-Base Current Gain Solution

Follow our step by step solution on how to calculate Common-Base Current Gain?

FIRST Step Consider the formula

α = \frac{β}{β + 1}

Next Step Substitute values of Variables

∴

α = \frac{65}{65 + 1}

Next Step Prepare to Evaluate

∴

α = \frac{65}{65 + 1}

Next Step Evaluate

∴

α = 0.984848484848485

LAST Step Rounding Answer

∴

α = 0.9848

Common-Base Current Gain Formula Elements

Variables

Common-Base Current Gain

Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Common-Base Current Gain

Common Emitter Current Gain

Common emitter current gain is influenced by 2 factors: width of base region W, and relative dopings of base region and emitter region. Its range varies from 50-200.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be between 49 to 201.

Formulas to find Common Emitter Current Gain

Other formulas in Amplification Factor or Gain category

Go Intrinsic Gain of BJT

A o = \frac{V A}{V t}

Go Total Power Dissipated in BJT

P = V CE \cdot I c + V BE \cdot I B

Go Common Mode Rejection Ratio

CMRR = 20 \cdot \log 10 (\frac{A d}{A cm})

Go Base Current of PNP Transistor given Emitter Current

I B = \frac{I e}{β + 1}

How to Evaluate Common-Base Current Gain?

Common-Base Current Gain evaluator uses Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1) to evaluate the Common-Base Current Gain, The common-base current gain of a transistor for a particular transistor that is less than or close to the unity. . For instance, if β =100, then α ≅0.99. Common-Base Current Gain is denoted by α symbol.

How to evaluate Common-Base Current Gain using this online evaluator? To use this online evaluator for Common-Base Current Gain, enter Common Emitter Current Gain (β) and hit the calculate button.

FAQs on Common-Base Current Gain

What is the formula to find Common-Base Current Gain?

The formula of Common-Base Current Gain is expressed as Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1). Here is an example- 0.984848 = 65/(65+1).

How to calculate Common-Base Current Gain?

With Common Emitter Current Gain (β) we can find Common-Base Current Gain using the formula - Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1).

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