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Overall Voltage Gain given Load Resistance of BJT Formula

GoVoltage Gain given Collector Current Formula

GoVoltage Gain given all Voltages Formula

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

A v = - G m \cdot (\frac{R c \cdot R L}{R c + R L})

A_v - Voltage Gain?G_m - Transconductance?R_c - Collector Resistance?R_L - Load Resistance?

Overall Voltage Gain given Load Resistance of BJT Example

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

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

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

-3.329 = - 1.72 \cdot (\frac{3.75 \cdot 4}{3.75 + 4})

-3.329dB = - 1.72mS \cdot (\frac{3.75kΩ \cdot 4kΩ}{3.75kΩ + 4kΩ})

-3.329 = - 1.72 \cdot (\frac{3.75 \cdot 4}{3.75 + 4})

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Overall Voltage Gain given Load Resistance of BJT Solution

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

FIRST Step Consider the formula

A v = - G m \cdot (\frac{R c \cdot R L}{R c + R L})

Next Step Substitute values of Variables

∴

A v = - 1.72mS \cdot (\frac{3.75kΩ \cdot 4kΩ}{3.75kΩ + 4kΩ})

Next Step Convert Units

∴

A v = - 0.0017S \cdot (\frac{3750Ω \cdot 4000Ω}{3750Ω + 4000Ω})

Next Step Prepare to Evaluate

∴

A v = - 0.0017 \cdot (\frac{3750 \cdot 4000}{3750 + 4000})

Next Step Evaluate

∴

A v = -3.32903225806452dB

LAST Step Rounding Answer

∴

A v = -3.329dB

Overall Voltage Gain given Load Resistance of BJT Formula Elements

Variables

Voltage Gain

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

Symbol: A_v

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Voltage Gain

Transconductance

Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.

Symbol: G_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Collector Resistance

Collector Resistance (Rc)helps to set the transistor at the "operating point" of the amplifier. The purpose of the emitter resistor Re is to prevent "thermal runaway".

Symbol: R_c

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Collector Resistance

Load Resistance

Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Load Resistance

Other Formulas to find Voltage Gain

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}

Go Voltage Gain given Transconductance and Collector Resistance

A v = - G m \cdot R c

Go Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output

A v = α \cdot \frac{{(\frac{1}{R c} + \frac{1}{R L})}^{- 1}}{R s + R e}

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 Amplification Factor of BJT

µ f = (\frac{I c}{V th}) \cdot (\frac{V cc + V CE}{I c})

Go Common Mode Gain of BJT

A cm = - (\frac{R c}{2 \cdot R o}) \cdot (\frac{ΔR c}{R c})

How to Evaluate Overall Voltage Gain given Load Resistance of BJT?

Overall Voltage Gain given Load Resistance of BJT evaluator uses Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance)) to evaluate the Voltage Gain, The Overall Voltage Gain given Load Resistance of BJT is the amount of voltage that an electronic device needs in order to power on and function. Voltage Gain is denoted by A_v symbol.

How to evaluate Overall Voltage Gain given Load Resistance of BJT using this online evaluator? To use this online evaluator for Overall Voltage Gain given Load Resistance of BJT, enter Transconductance (G_m), Collector Resistance (R_c) & Load Resistance (R_L) and hit the calculate button.

FAQs on Overall Voltage Gain given Load Resistance of BJT

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

The formula of Overall Voltage Gain given Load Resistance of BJT is expressed as Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance)). Here is an example- -3.329032 = -0.00172*((3750*4000)/(3750+4000)).

How to calculate Overall Voltage Gain given Load Resistance of BJT?

With Transconductance (G_m), Collector Resistance (R_c) & Load Resistance (R_L) we can find Overall Voltage Gain given Load Resistance of BJT using the formula - Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance)).

What are the other ways to Calculate Voltage Gain?

Here are the different ways to Calculate Voltage Gain-

Voltage Gain=-(Collector Current/Thermal Voltage)*Collector Resistance
Voltage Gain=-(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain=-Transconductance*Collector Resistance

Can the Overall Voltage Gain given Load Resistance of BJT be negative?

Yes, the Overall Voltage Gain given Load Resistance of BJT, measured in Sound can be negative.

Which unit is used to measure Overall Voltage Gain given Load Resistance of BJT?

Overall Voltage Gain given Load Resistance of BJT is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Overall Voltage Gain given Load Resistance of BJT can be measured.

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Overall Voltage Gain given Load Resistance of BJT Formula

​GoVoltage Gain given Collector Current Formula

​GoVoltage Gain given all Voltages Formula

Overall Voltage Gain given Load Resistance of BJT Example

Overall Voltage Gain given Load Resistance of BJT Solution

Overall Voltage Gain given Load Resistance of BJT Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Amplification Factor or Gain category

How to Evaluate Overall Voltage Gain given Load Resistance of BJT?

FAQs on Overall Voltage Gain given Load Resistance of BJT

Variable Name

GoVoltage Gain given Collector Current Formula

GoVoltage Gain given all Voltages Formula