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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Birsa Institute of Technology (BIT), Sindri
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Common-Base Current Gain
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Intrinsic Gain of BJT
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Common-Base Current Gain Formula

​LaTeX ​Go
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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