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Small-Signal Voltage Gain with respect to Drain Resistance Formula

GoSmall Signal Voltage Gain with respect to Input Resistance Formula

GoVoltage Gain for Small Signal Formula

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Voltage gain is a measure of the amplification of an electrical signal by an amplifier . It is the ratio of the output voltage to the input voltage of the circuit, expressed in decibels (dB). Check FAQs

A v = (g m \cdot (\frac{R out \cdot R d}{R out + R d}))

A_v - Voltage Gain?g_m - Transconductance?R_out - Output Resistance?R_d - Drain Resistance?

Small-Signal Voltage Gain with respect to Drain Resistance Example

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Here is how the Small-Signal Voltage Gain with respect to Drain Resistance equation looks like with Values.

Here is how the Small-Signal Voltage Gain with respect to Drain Resistance equation looks like with Units.

Here is how the Small-Signal Voltage Gain with respect to Drain Resistance equation looks like.

0.0055 = (0.5 \cdot (\frac{4.5 \cdot 11}{4.5 + 11}))

0.0055 = (0.5mS \cdot (\frac{4.5kΩ \cdot 11Ω}{4.5kΩ + 11Ω}))

0.0055 = (0.5 \cdot (\frac{4.5 \cdot 11}{4.5 + 11}))

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Small-Signal Voltage Gain with respect to Drain Resistance Solution

Follow our step by step solution on how to calculate Small-Signal Voltage Gain with respect to Drain Resistance?

FIRST Step Consider the formula

A v = (g m \cdot (\frac{R out \cdot R d}{R out + R d}))

Next Step Substitute values of Variables

∴

A v = (0.5mS \cdot (\frac{4.5kΩ \cdot 11Ω}{4.5kΩ + 11Ω}))

Next Step Convert Units

∴

A v = (0.0005S \cdot (\frac{4500Ω \cdot 11Ω}{4500Ω + 11Ω}))

Next Step Prepare to Evaluate

∴

A v = (0.0005 \cdot (\frac{4500 \cdot 11}{4500 + 11}))

Next Step Evaluate

∴

A v = 0.00548658833961428

LAST Step Rounding Answer

∴

A v = 0.0055

Small-Signal Voltage Gain with respect to Drain Resistance Formula Elements

Variables

Voltage Gain

Voltage gain is a measure of the amplification of an electrical signal by an amplifier . It is the ratio of the output voltage to the input voltage of the circuit, expressed in decibels (dB).

Symbol: A_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Voltage Gain

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

Drain Resistance

Drain Resistance is defined as the resistance opposing the flow of current through the drain of the transistor.

Symbol: R_d

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Drain Resistance

Other Formulas to find Voltage Gain

Go Small Signal Voltage Gain with respect to Input Resistance

A v = (\frac{R in}{R in + R si}) \cdot \frac{\frac{R s \cdot R out}{R s + R out}}{\frac{1}{g m} + (\frac{R s \cdot R out}{R s + R out})}

Go Voltage Gain for Small Signal

A v = \frac{g m \cdot (\frac{1}{(\frac{1}{R L}) + (\frac{1}{R d})})}{1 + (g m \cdot R si)}

Go Voltage Gain using Small Signal

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

Other formulas in Small Signal Analysis category

Go Transconductance Given Small Signal Parameters

g m = 2 \cdot K n \cdot (V gsq - V t)

Go Output Voltage of Small Signal P-Channel

V out = g m \cdot V sg \cdot (\frac{R out \cdot R d}{R d + R out})

Go Small Signal Output Voltage

V out = g m \cdot V sg \cdot R L

Go Common Drain Output Voltage in Small Signal

V out = g m \cdot V c \cdot (\frac{R s \cdot r o}{R s + r o})

How to Evaluate Small-Signal Voltage Gain with respect to Drain Resistance?

Small-Signal Voltage Gain with respect to Drain Resistance evaluator uses Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain Resistance))) to evaluate the Voltage Gain, Small-Signal Voltage Gain with respect to Drain Resistance is a measure of the amplifier's ability to amplify small signals while minimizing distortion. It is defined as the ratio of the output voltage to the input voltage for a small signal input. Voltage Gain is denoted by A_v symbol.

How to evaluate Small-Signal Voltage Gain with respect to Drain Resistance using this online evaluator? To use this online evaluator for Small-Signal Voltage Gain with respect to Drain Resistance, enter Transconductance (g_m), Output Resistance (R_out) & Drain Resistance (R_d) and hit the calculate button.

FAQs on Small-Signal Voltage Gain with respect to Drain Resistance

What is the formula to find Small-Signal Voltage Gain with respect to Drain Resistance?

The formula of Small-Signal Voltage Gain with respect to Drain Resistance is expressed as Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain Resistance))). Here is an example- 0.005487 = (0.0005*((4500*11)/(4500+11))).

How to calculate Small-Signal Voltage Gain with respect to Drain Resistance?

With Transconductance (g_m), Output Resistance (R_out) & Drain Resistance (R_d) we can find Small-Signal Voltage Gain with respect to Drain Resistance using the formula - Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain Resistance))).

What are the other ways to Calculate Voltage Gain?

Here are the different ways to Calculate Voltage Gain-

Voltage Gain=(Input Amplifier Resistance/(Input Amplifier Resistance+Self Induced Resistance))*((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance))/(1/Transconductance+((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance)))
Voltage Gain=(Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
Voltage Gain=Transconductance*1/(1/Load Resistance+1/Finite Resistance)

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Small-Signal Voltage Gain with respect to Drain Resistance Formula

​GoSmall Signal Voltage Gain with respect to Input Resistance Formula

​GoVoltage Gain for Small Signal Formula

Small-Signal Voltage Gain with respect to Drain Resistance Example

Small-Signal Voltage Gain with respect to Drain Resistance Solution

Small-Signal Voltage Gain with respect to Drain Resistance Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Small Signal Analysis category

How to Evaluate Small-Signal Voltage Gain with respect to Drain Resistance?

FAQs on Small-Signal Voltage Gain with respect to Drain Resistance

Variable Name

GoSmall Signal Voltage Gain with respect to Input Resistance Formula

GoVoltage Gain for Small Signal Formula