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Total Current Gain with respect to Voltage Gain Formula

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

α - Common Base Current Gain?G_v - Overall Voltage Gain?R_c - Collector Resistance?R_e - Emitter Resistance?R_in - Input Resistance?R_sig - Signal Resistance?

Total Current Gain with respect to Voltage Gain Example

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Here is how the Total Current Gain with respect to Voltage Gain equation looks like with Values.

Here is how the Total Current Gain with respect to Voltage Gain equation looks like with Units.

Here is how the Total Current Gain with respect to Voltage Gain equation looks like.

0.2693 = \frac{0.86}{\frac{1.01}{0.067} \cdot (\frac{0.301}{0.301 + 1.12})}

0.2693 = \frac{0.86}{\frac{1.01kΩ}{0.067kΩ} \cdot (\frac{0.301kΩ}{0.301kΩ + 1.12kΩ})}

0.2693 = \frac{0.86}{\frac{1.01}{0.067} \cdot (\frac{0.301}{0.301 + 1.12})}

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Total Current Gain with respect to Voltage Gain Solution

Follow our step by step solution on how to calculate Total Current Gain with respect to Voltage Gain?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

α = \frac{0.86}{\frac{1.01kΩ}{0.067kΩ} \cdot (\frac{0.301kΩ}{0.301kΩ + 1.12kΩ})}

Next Step Convert Units

∴

α = \frac{0.86}{\frac{1010Ω}{67Ω} \cdot (\frac{301Ω}{301Ω + 1120Ω})}

Next Step Prepare to Evaluate

∴

α = \frac{0.86}{\frac{1010}{67} \cdot (\frac{301}{301 + 1120})}

Next Step Evaluate

∴

α = 0.269326732673267

LAST Step Rounding Answer

∴

α = 0.2693

Total Current Gain with respect to Voltage 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

Overall Voltage Gain

Overall voltage gain is a ratio of equal units (power out / power in, voltage out / voltage in, or current out / current in).

Symbol: G_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Overall Voltage Gain

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

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

Input Resistance

Input resistance 2 is the opposition that an electrical component or circuit presents to the flow of electrical current when a voltage is applied to it.

Symbol: R_in

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Input Resistance

Signal Resistance

Signal resistance is the resistance which is fed with the signal voltage source of an Amplifier.

Symbol: R_sig

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Signal Resistance

Other Formulas to find Common Base Current Gain

Go Common Base Current Gain

α = (A v \cdot \frac{R e}{R c})

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 Total Current Gain with respect to Voltage Gain?

Total Current Gain with respect to Voltage Gain evaluator uses Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))) to evaluate the Common Base Current Gain, Total Current Gain with respect to Voltage Gain is a measure of the overall current gain of an amplifier circuit, taking into account all the components and their interactions. It is defined as the ratio of the output current to the input current. Common Base Current Gain is denoted by α symbol.

How to evaluate Total Current Gain with respect to Voltage Gain using this online evaluator? To use this online evaluator for Total Current Gain with respect to Voltage Gain, enter Overall Voltage Gain (G_v), Collector Resistance (R_c), Emitter Resistance (R_e), Input Resistance (R_in) & Signal Resistance (R_sig) and hit the calculate button.

FAQs on Total Current Gain with respect to Voltage Gain

What is the formula to find Total Current Gain with respect to Voltage Gain?

The formula of Total Current Gain with respect to Voltage Gain is expressed as Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))). Here is an example- 0.269327 = 0.86/(1010/67*(301/(301+1120))).

How to calculate Total Current Gain with respect to Voltage Gain?

With Overall Voltage Gain (G_v), Collector Resistance (R_c), Emitter Resistance (R_e), Input Resistance (R_in) & Signal Resistance (R_sig) we can find Total Current Gain with respect to Voltage Gain using the formula - Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal 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=(Voltage Gain*Emitter Resistance/Collector Resistance)

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Total Current Gain with respect to Voltage Gain Formula

​GoCommon Base Current Gain Formula

Total Current Gain with respect to Voltage Gain Example

Total Current Gain with respect to Voltage Gain Solution

Total Current Gain with respect to Voltage Gain Formula Elements

Other Formulas to find Common Base Current Gain

Other formulas in Common Base Amplifier category

How to Evaluate Total Current Gain with respect to Voltage Gain?

FAQs on Total Current Gain with respect to Voltage Gain

Variable Name

GoCommon Base Current Gain Formula