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Amplification Factor in Small Signal MOSFET Model Formula

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Amplification factor is measure of the increase in power of an electrical signal as it passes through a device.It is defined as the ratio of the output amplitude or power to the input amplitude. Check FAQs

A f = g m \cdot R out

A_f - Amplification Factor?g_m - Transconductance?R_out - Output Resistance?

Amplification Factor in Small Signal MOSFET Model Example

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Here is how the Amplification Factor in Small Signal MOSFET Model equation looks like with Values.

Here is how the Amplification Factor in Small Signal MOSFET Model equation looks like with Units.

Here is how the Amplification Factor in Small Signal MOSFET Model equation looks like.

2.25 = 0.5 \cdot 4.5

2.25 = 0.5mS \cdot 4.5kΩ

2.25 = 0.5 \cdot 4.5

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Amplification Factor in Small Signal MOSFET Model Solution

Follow our step by step solution on how to calculate Amplification Factor in Small Signal MOSFET Model?

FIRST Step Consider the formula

A f = g m \cdot R out

Next Step Substitute values of Variables

∴

A f = 0.5mS \cdot 4.5kΩ

Next Step Convert Units

∴

A f = 0.0005S \cdot 4500Ω

Next Step Prepare to Evaluate

∴

A f = 0.0005 \cdot 4500

LAST Step Evaluate

∴

A f = 2.25

Amplification Factor in Small Signal MOSFET Model Formula Elements

Variables

Amplification Factor

Amplification factor is measure of the increase in power of an electrical signal as it passes through a device.It is defined as the ratio of the output amplitude or power to the input amplitude.

Symbol: A_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Amplification Factor

Transconductance

Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Output Resistance

Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Other formulas in Small Signal Analysis category

Go Maximum Voltage Gain at Bias Point

A vm = 2 \cdot \frac{V dd - V eff}{V eff}

Go Maximum Voltage Gain given all Voltages

A vm = \frac{V dd - 0.3}{V t}

Go Voltage Gain given Drain Voltage

A v = \frac{i d \cdot R L \cdot 2}{V eff}

Go Voltage Gain given Load Resistance of MOSFET

A v = g m \cdot \frac{\frac{1}{\frac{1}{R L} + \frac{1}{R out}}}{1 + g m \cdot R s}

How to Evaluate Amplification Factor in Small Signal MOSFET Model?

Amplification Factor in Small Signal MOSFET Model evaluator uses Amplification Factor = Transconductance*Output Resistance to evaluate the Amplification Factor, The Amplification Factor in Small Signal MOSFET Model formula represents the ratio of the output signal amplitude to the input signal amplitude. It is a measure of the degree to which an electronic device amplifies an electrical signal. Amplification Factor is denoted by A_f symbol.

How to evaluate Amplification Factor in Small Signal MOSFET Model using this online evaluator? To use this online evaluator for Amplification Factor in Small Signal MOSFET Model, enter Transconductance (g_m) & Output Resistance (R_out) and hit the calculate button.

FAQs on Amplification Factor in Small Signal MOSFET Model

What is the formula to find Amplification Factor in Small Signal MOSFET Model?

The formula of Amplification Factor in Small Signal MOSFET Model is expressed as Amplification Factor = Transconductance*Output Resistance. Here is an example- 2.25 = 0.0005*4500.

How to calculate Amplification Factor in Small Signal MOSFET Model?

With Transconductance (g_m) & Output Resistance (R_out) we can find Amplification Factor in Small Signal MOSFET Model using the formula - Amplification Factor = Transconductance*Output Resistance.

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