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Common Base Current Gain Formula

GoTotal Current Gain with respect to Voltage Gain Formula

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Common Base Current Gain α is related to β common-emitter current gain of a transistor and used for calculations. Check FAQs

α = (A v \cdot \frac{R e}{R c})

α - Common Base Current Gain?A_v - Voltage Gain?R_e - Emitter Resistance?R_c - Collector Resistance?

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.

0.2793 = (4.21 \cdot \frac{0.067}{1.01})

0.2793 = (4.21 \cdot \frac{0.067kΩ}{1.01kΩ})

0.2793 = (4.21 \cdot \frac{0.067}{1.01})

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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 = (A v \cdot \frac{R e}{R c})

Next Step Substitute values of Variables

∴

α = (4.21 \cdot \frac{0.067kΩ}{1.01kΩ})

Next Step Convert Units

∴

α = (4.21 \cdot \frac{67Ω}{1010Ω})

Next Step Prepare to Evaluate

∴

α = (4.21 \cdot \frac{67}{1010})

Next Step Evaluate

∴

α = 0.279277227722772

LAST Step Rounding Answer

∴

α = 0.2793

Common Base Current Gain Formula Elements

Variables

Common Base Current Gain

Common Base Current Gain α is related to β common-emitter current gain of a transistor and used for calculations.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Common Base Current Gain

Voltage Gain

Voltage gain is defined as the ratio of the output voltage to the input voltage.

Symbol: A_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Voltage Gain

Emitter Resistance

Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.

Symbol: R_e

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Emitter Resistance

Collector Resistance

The Collector Resistancer is the opposition offered to the current passing through the collector.

Symbol: R_c

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Collector Resistance

Other Formulas to find Common Base Current Gain

Go Total Current Gain with respect to Voltage Gain

α = \frac{G v}{\frac{R c}{R e} \cdot (\frac{R in}{R in + R sig})}

Other formulas in Common Base Amplifier category

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}

Go Overall Voltage Gain of Common-Emitter Amplifier

G fv = - g mp \cdot (\frac{R in}{R in + R sig}) \cdot {(\frac{1}{R c} + \frac{1}{R L} + \frac{1}{R out})}^{- 1}

How to Evaluate Common Base Current Gain?

Common Base Current Gain evaluator uses Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance) to evaluate the Common Base Current Gain, The Common Base Current Gain is defined as the change in collector current divided by the change in emitter current when the base-to-collector voltage is constant. 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 Voltage Gain (A_v), Emitter Resistance (R_e) & Collector Resistance (R_c) 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 = (Voltage Gain*Emitter Resistance/Collector Resistance). Here is an example- 0.279277 = (4.21*67/1010).

How to calculate Common Base Current Gain?

With Voltage Gain (A_v), Emitter Resistance (R_e) & Collector Resistance (R_c) we can find Common Base Current Gain using the formula - Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance).

What are the other ways to Calculate Common Base Current Gain?

Here are the different ways to Calculate Common Base Current Gain-

Common Base Current Gain=Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))

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