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Output Voltage Gain given Transconductance Formula

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Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels. Check FAQs

A v = - (\frac{R L}{\frac{1}{g m} + R se})

A_v - Output Voltage Gain?R_L - Load Resistance?g_m - Transconductance?R_se - Series Resistor?

Output Voltage Gain given Transconductance Example

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Here is how the Output Voltage Gain given Transconductance equation looks like with Values.

Here is how the Output Voltage Gain given Transconductance equation looks like with Units.

Here is how the Output Voltage Gain given Transconductance equation looks like.

-0.3673 = - (\frac{4.5}{\frac{1}{2.04} + 12.25})

-0.3673 = - (\frac{4.5kΩ}{\frac{1}{2.04S} + 12.25kΩ})

-0.3673 = - (\frac{4.5}{\frac{1}{2.04} + 12.25})

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Output Voltage Gain given Transconductance Solution

Follow our step by step solution on how to calculate Output Voltage Gain given Transconductance?

FIRST Step Consider the formula

A v = - (\frac{R L}{\frac{1}{g m} + R se})

Next Step Substitute values of Variables

∴

A v = - (\frac{4.5kΩ}{\frac{1}{2.04S} + 12.25kΩ})

Next Step Convert Units

∴

A v = - (\frac{4500Ω}{\frac{1}{2.04S} + 12250Ω})

Next Step Prepare to Evaluate

∴

A v = - (\frac{4500}{\frac{1}{2.04} + 12250})

Next Step Evaluate

∴

A v = -0.367332239606258

LAST Step Rounding Answer

∴

A v = -0.3673

Output Voltage Gain given Transconductance Formula Elements

Variables

Output Voltage Gain

Output voltage gain is the difference between the output signal voltage level in decibels and the input signal voltage level in decibels.

Symbol: A_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Output Voltage 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

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: TransconductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Transconductance

Series Resistor

Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

Symbol: R_se

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Series Resistor

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 Output Voltage Gain given Transconductance?

Output Voltage Gain given Transconductance evaluator uses Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor)) to evaluate the Output Voltage Gain, The Output Voltage Gain given Transconductance formula is defined as the amount of voltage that an electronic device needs in order to power on and function. Output Voltage Gain is denoted by A_v symbol.

How to evaluate Output Voltage Gain given Transconductance using this online evaluator? To use this online evaluator for Output Voltage Gain given Transconductance, enter Load Resistance (R_L), Transconductance (g_m) & Series Resistor (R_se) and hit the calculate button.

FAQs on Output Voltage Gain given Transconductance

What is the formula to find Output Voltage Gain given Transconductance?

The formula of Output Voltage Gain given Transconductance is expressed as Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor)). Here is an example- -0.353213 = -(4500/(1/0.00204+12250)).

How to calculate Output Voltage Gain given Transconductance?

With Load Resistance (R_L), Transconductance (g_m) & Series Resistor (R_se) we can find Output Voltage Gain given Transconductance using the formula - Output Voltage Gain = -(Load Resistance/(1/Transconductance+Series Resistor)).

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Output Voltage Gain given Transconductance Formula

Output Voltage Gain given Transconductance Example

Output Voltage Gain given Transconductance Solution

Output Voltage Gain given Transconductance Formula Elements

Other formulas in Amplifier Characteristics category

How to Evaluate Output Voltage Gain given Transconductance?

FAQs on Output Voltage Gain given Transconductance

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