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Voltage Gain given Transconductance and Collector Resistance 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 R c

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

Voltage Gain given Transconductance and Collector Resistance Example

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Here is how the Voltage Gain given Transconductance and Collector Resistance equation looks like with Values.

Here is how the Voltage Gain given Transconductance and Collector Resistance equation looks like with Units.

Here is how the Voltage Gain given Transconductance and Collector Resistance equation looks like.

-6.45 = - 1.72 \cdot 3.75

-6.45dB = - 1.72mS \cdot 3.75kΩ

-6.45 = - 1.72 \cdot 3.75

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Voltage Gain given Transconductance and Collector Resistance Solution

Follow our step by step solution on how to calculate Voltage Gain given Transconductance and Collector Resistance?

FIRST Step Consider the formula

A v = - G m \cdot R c

Next Step Substitute values of Variables

∴

A v = - 1.72mS \cdot 3.75kΩ

Next Step Convert Units

∴

A v = - 0.0017S \cdot 3750Ω

Next Step Prepare to Evaluate

∴

A v = - 0.0017 \cdot 3750

LAST Step Evaluate

∴

A v = -6.45dB

Voltage Gain given Transconductance and Collector Resistance 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

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 Overall Voltage Gain given Load Resistance of BJT

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

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 Voltage Gain given Transconductance and Collector Resistance?

Voltage Gain given Transconductance and Collector Resistance evaluator uses Voltage Gain = -Transconductance*Collector Resistance to evaluate the Voltage Gain, The Voltage Gain given Transconductance and Collector Resistance formula is defined as 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 Voltage Gain given Transconductance and Collector Resistance using this online evaluator? To use this online evaluator for Voltage Gain given Transconductance and Collector Resistance, enter Transconductance (G_m) & Collector Resistance (R_c) and hit the calculate button.

FAQs on Voltage Gain given Transconductance and Collector Resistance

What is the formula to find Voltage Gain given Transconductance and Collector Resistance?

The formula of Voltage Gain given Transconductance and Collector Resistance is expressed as Voltage Gain = -Transconductance*Collector Resistance. Here is an example- -6.45 = -0.00172*3750.

How to calculate Voltage Gain given Transconductance and Collector Resistance?

With Transconductance (G_m) & Collector Resistance (R_c) we can find Voltage Gain given Transconductance and Collector Resistance using the formula - Voltage Gain = -Transconductance*Collector 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*Load Resistance)/(Collector Resistance+Load Resistance))

Can the Voltage Gain given Transconductance and Collector Resistance be negative?

Yes, the Voltage Gain given Transconductance and Collector Resistance, measured in Sound can be negative.

Which unit is used to measure Voltage Gain given Transconductance and Collector Resistance?

Voltage Gain given Transconductance and Collector Resistance is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Voltage Gain given Transconductance and Collector Resistance can be measured.

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Voltage Gain given Transconductance and Collector Resistance Formula

​GoVoltage Gain given Collector Current Formula

​GoVoltage Gain given all Voltages Formula

Voltage Gain given Transconductance and Collector Resistance Example

Voltage Gain given Transconductance and Collector Resistance Solution

Voltage Gain given Transconductance and Collector Resistance Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Amplification Factor or Gain category

How to Evaluate Voltage Gain given Transconductance and Collector Resistance?

FAQs on Voltage Gain given Transconductance and Collector Resistance

Variable Name

GoVoltage Gain given Collector Current Formula

GoVoltage Gain given all Voltages Formula