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Common-Emitter Current Gain using Common-Base Current Gain Formula

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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. Check FAQs

β = \frac{α}{1 - α}

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

Common-Emitter Current Gain using Common-Base Current Gain Example

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

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

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

65.6667 = \frac{0.985}{1 - 0.985}

65.6667 = \frac{0.985}{1 - 0.985}

65.6667 = \frac{0.985}{1 - 0.985}

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Common-Emitter Current Gain using Common-Base Current Gain Solution

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

FIRST Step Consider the formula

β = \frac{α}{1 - α}

Next Step Substitute values of Variables

∴

β = \frac{0.985}{1 - 0.985}

Next Step Prepare to Evaluate

∴

β = \frac{0.985}{1 - 0.985}

Next Step Evaluate

∴

β = 65.6666666666666

LAST Step Rounding Answer

∴

β = 65.6667

Common-Emitter Current Gain using Common-Base Current Gain Formula Elements

Variables

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

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

Other formulas in Amplification Factor or Gain category

Go Short-Circuit Current Gain

A i = \frac{I o}{I in}

Go Open Circuit Voltage Gain given Open Circuit Transresistance

A = \frac{R m}{R in}

Go Voltage Gain given Collector Current

A v = - (\frac{I c}{V t}) \cdot R c

Go Voltage Gain given all Voltages

A v = - \frac{V DD - V CE}{V t}

How to Evaluate Common-Emitter Current Gain using Common-Base Current Gain?

Common-Emitter Current Gain using Common-Base Current Gain evaluator uses Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain) to evaluate the Common Emitter Current Gain, The Common-emitter current gain using common-base current gain is defined as the ratio of output current or collector current (IC) to the input current or base current (IB). The current gain of a transistor in CE configuration is high. Therefore, the transistor in the CE configuration is used for amplifying the current. Common Emitter Current Gain is denoted by β symbol.

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

FAQs on Common-Emitter Current Gain using Common-Base Current Gain

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

The formula of Common-Emitter Current Gain using Common-Base Current Gain is expressed as Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain). Here is an example- 65.66667 = 0.985/(1-0.985).

How to calculate Common-Emitter Current Gain using Common-Base Current Gain?

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

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