Common-Base Current Gain Calculator

✖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.ⓘ Common Emitter Current Gain [β]

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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.ⓘ Common-Base Current Gain [α]

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Formula

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Common-Base Current Gain

Formula

α = \frac{β}{β + 1}

Example

0.984848 = \frac{65}{65 + 1}

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Common-Base Current Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)
α = β/(β+1)
This formula uses 2 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Common Emitter Current Gain: 65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = β/(β+1) --> 65/(65+1)

Evaluating ... ...

α = 0.984848484848485

STEP 3: Convert Result to Output's Unit

0.984848484848485 --> No Conversion Required

FINAL ANSWER

0.984848484848485 ≈ 0.984848 <-- Common-Base Current Gain

(Calculation completed in 00.004 seconds)

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Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

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Go Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage

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Go Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance

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Go Open Circuit Voltage Gain = Open Circuit Transresistance/Input Resistance

Short-Circuit Current Gain

Go Current Gain = Output Current/Input Current

< BJT Circuit Calculators

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Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current

Common Mode Rejection Ratio

Go Common Mode Rejection Ratio = 20*log10(Differential Mode Gain/Common Mode Gain)

Common-Base Current Gain

Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)

Intrinsic Gain of BJT

Go Intrinsic Gain = Early Voltage/Thermal Voltage

Common-Base Current Gain Formula

Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)
α = β/(β+1)

On what factors constant of a transistor depends?

Small changes in α correspond to very large changes in β. This mathematical
observation manifests itself physically, with the result that transistors of the same type may
have widely different values of β. For reasons that will become apparent later, α is called the
common-base current gain.

How to Calculate Common-Base Current Gain?

Common-Base Current Gain calculator uses Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1) to calculate 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 calculate Common-Base Current Gain using this online calculator? To use this online calculator for Common-Base Current Gain, enter Common Emitter Current Gain (β) and hit the calculate button. Here is how the Common-Base Current Gain calculation can be explained with given input values -> 0.984848 = 65/(65+1).

FAQ

What is 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 and is represented as α = β/(β+1) or Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1). 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.

How to calculate 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 is calculated using Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1). To calculate Common-Base Current Gain, you need Common Emitter Current Gain (β). With our tool, you need to enter the respective value for Common Emitter Current Gain 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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