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Voltage Gain given Load Resistance Formula

GoVoltage Gain of Amplifier Formula

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

G v = α \cdot (\frac{\frac{1}{\frac{1}{R L} + \frac{1}{R c}}}{R e})

G_v - Voltage Gain?α - Common Base Current Gain?R_L - Load Resistance?R_c - Collector Resistance?R_e - Emitter Resistance?

Voltage Gain given Load Resistance Example

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Here is how the Voltage Gain given Load Resistance equation looks like with Values.

Here is how the Voltage Gain given Load Resistance equation looks like with Units.

Here is how the Voltage Gain given Load Resistance equation looks like.

1.4202 = 0.99 \cdot (\frac{\frac{1}{\frac{1}{4.5} + \frac{1}{12.209}}}{2.292})

1.4202 = 0.99 \cdot (\frac{\frac{1}{\frac{1}{4.5kΩ} + \frac{1}{12.209kΩ}}}{2.292kΩ})

1.4202 = 0.99 \cdot (\frac{\frac{1}{\frac{1}{4.5} + \frac{1}{12.209}}}{2.292})

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Voltage Gain given Load Resistance Solution

Follow our step by step solution on how to calculate Voltage Gain given Load Resistance?

FIRST Step Consider the formula

G v = α \cdot (\frac{\frac{1}{\frac{1}{R L} + \frac{1}{R c}}}{R e})

Next Step Substitute values of Variables

∴

G v = 0.99 \cdot (\frac{\frac{1}{\frac{1}{4.5kΩ} + \frac{1}{12.209kΩ}}}{2.292kΩ})

Next Step Convert Units

∴

G v = 0.99 \cdot (\frac{\frac{1}{\frac{1}{4500Ω} + \frac{1}{12209Ω}}}{2292Ω})

Next Step Prepare to Evaluate

∴

G v = 0.99 \cdot (\frac{\frac{1}{\frac{1}{4500} + \frac{1}{12209}}}{2292})

Next Step Evaluate

∴

G v = 1.42024323662922

LAST Step Rounding Answer

∴

G v = 1.4202

Voltage Gain given Load Resistance Formula Elements

Variables

Voltage Gain

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

Symbol: G_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Voltage Gain

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 greater than 0.

Formulas to find Common Base Current Gain

Load Resistance

Load resistance is the resistance value of load given for the network.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Collector Resistance

Collector Resistance 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 the total opposition caused in the flow of current in the emitter.

Symbol: R_e

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Emitter Resistance

Other Formulas to find Voltage Gain

Go Voltage Gain of Amplifier

G v = \frac{V o}{V in}

Other formulas in Amplifier Characteristics category

Go Power Gain of Amplifier

A p = \frac{P L}{P in}

Go Current Gain of Amplifier

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

Go Base Junction Width of Amplifier

w b = \frac{A be \cdot [Charge-e] \cdot D n \cdot n po}{i sat}

Go Differential Voltage in Amplifier

V id = \frac{V o}{(\frac{R 4}{R 3}) \cdot (1 + \frac{R 2}{R 1})}

How to Evaluate Voltage Gain given Load Resistance?

Voltage Gain given Load Resistance evaluator uses Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance) to evaluate the Voltage Gain, The Voltage Gain given Load Resistance formula is defined as the amount of voltage that an electronic device needs in order to power on and function. Voltage Gain is denoted by G_v symbol.

How to evaluate Voltage Gain given Load Resistance using this online evaluator? To use this online evaluator for Voltage Gain given Load Resistance, enter Common Base Current Gain (α), Load Resistance (R_L), Collector Resistance (R_c) & Emitter Resistance (R_e) and hit the calculate button.

FAQs on Voltage Gain given Load Resistance

What is the formula to find Voltage Gain given Load Resistance?

The formula of Voltage Gain given Load Resistance is expressed as Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance). Here is an example- 1.420243 = 0.99*((1/(1/4500+1/12209))/2292).

How to calculate Voltage Gain given Load Resistance?

With Common Base Current Gain (α), Load Resistance (R_L), Collector Resistance (R_c) & Emitter Resistance (R_e) we can find Voltage Gain given Load Resistance using the formula - Voltage Gain = Common Base Current Gain*((1/(1/Load Resistance+1/Collector Resistance))/Emitter Resistance).

What are the other ways to Calculate Voltage Gain?

Here are the different ways to Calculate Voltage Gain-

Voltage Gain=Output Voltage/Input Voltage

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Voltage Gain given Load Resistance Formula

​GoVoltage Gain of Amplifier Formula

Voltage Gain given Load Resistance Example

Voltage Gain given Load Resistance Solution

Voltage Gain given Load Resistance Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Amplifier Characteristics category

How to Evaluate Voltage Gain given Load Resistance?

FAQs on Voltage Gain given Load Resistance

Variable Name

GoVoltage Gain of Amplifier Formula