Voltage Gain of Low Noise Amplifier Calculator

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Low Noise Amplifier

✖Transconductance is a measure of how much current the amplifier can produce for a given input voltage.ⓘ Transconductance [g_m]			+10% -10%
✖Drain Resistance is the resistance between the drain of the transistor and the output of the amplifier.ⓘ Drain Resistance [R_d]			+10% -10%

✖Voltage Gain s a crucial parameter for low-noise amplifiers as it determines the amplifier's ability to amplify weak signals while minimizing noise.ⓘ Voltage Gain of Low Noise Amplifier [A_v]

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Voltage Gain of Low Noise Amplifier

Formula

`"A"_{"v"} = "g"_{"m"}*"R"_{"d"}`

Example

`"7.848"="2.18S"*"3.6Ω"`

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Voltage Gain of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = Transconductance*Drain Resistance
A_v = g_m*R_d
This formula uses 3 Variables

Variables Used

Voltage Gain - Voltage Gain s a crucial parameter for low-noise amplifiers as it determines the amplifier's ability to amplify weak signals while minimizing noise.
Transconductance - (Measured in Siemens) - Transconductance is a measure of how much current the amplifier can produce for a given input voltage.
Drain Resistance - (Measured in Ohm) - Drain Resistance is the resistance between the drain of the transistor and the output of the amplifier.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 2.18 Siemens --> 2.18 Siemens No Conversion Required
Drain Resistance: 3.6 Ohm --> 3.6 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = g_m*R_d --> 2.18*3.6

Evaluating ... ...

A_v = 7.848

STEP 3: Convert Result to Output's Unit

7.848 --> No Conversion Required

FINAL ANSWER

7.848 <-- Voltage Gain

(Calculation completed in 00.004 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 18 RF Microelectronics Calculators

Energy Stored in all Unit Capacitances

Go Energy Stored in All Unit Capacitances = (1/2)*Value of Unit capacitance*(sum(x,1,Number of Inductors,((Value of Node N/Number of Inductors)^2)*((Input Voltage)^2)))

Equivalent Capacitance for n Stacked Spirals

Go Equivalent Capacitance of N Stacked Spirals = 4*((sum(x,1,Number of Stacked Spirals-1,Inter Spiral Capacitance+Substrate Capacitance)))/(3*((Number of Stacked Spirals)^2))

Total Noise Power Introduced by Interferer

Go Total Noise Power of Interferer = int(Broadened Spectrum of Interferer*x,x,Lower End of the Desired Channel,Higher End of the Desired Channel)

Feedback Factor of Low Noise Amplifier

Go Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)

Return Loss of Low-Noise Amplifier

Go Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2

Total Power Lost in Spiral

Go Total Power Lost in Spiral = sum(x,1,Number of Inductors,((Corresponding RC Branch Current)^2)*Substrate Resistance)

Noise Figure of Low Noise Amplifier

Go Noise Figure = 1+((4*Source Impedance)/Feedback Resistance)+Noise Factor of Transistor

Gate to Source Voltage of Low Noise Amplifier

Go Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage

Threshold Voltage of Low Noise Amplifier

Go Threshold Voltage = Gate to Source Voltage-(2*Drain Current)/(Transconductance)

Transconductance of Low Noise Amplifier

Go Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage)

Drain Current of Low Noise Amplifier

Go Drain Current = (Transconductance*(Gate to Source Voltage-Threshold Voltage))/2

Voltage Gain of Low Noise Amplifier given DC Voltage Drop

Go Voltage Gain = 2*DC Voltage Drop/(Gate to Source Voltage-Threshold Voltage)

Load Impedance of Low Noise Amplifier

Go Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor

Input Impedance of Low Noise Amplifier

Go Input Impedance = (1/Transconductance)+Feedback Factor*Load Impedance

Output Impedance of Low Noise Amplifier

Go Output Impedance = (1/2)*(Feedback Resistance+Source Impedance)

Source Impedance of Low Noise Amplifier

Go Source Impedance = 2*Output Impedance-Feedback Resistance

Drain Resistance of Low Noise Amplifier

Go Drain Resistance = Voltage Gain/Transconductance

Voltage Gain of Low Noise Amplifier

Go Voltage Gain = Transconductance*Drain Resistance

Voltage Gain of Low Noise Amplifier Formula

Voltage Gain = Transconductance*Drain Resistance
A_v = g_m*R_d

What factors affect the voltage gain of an LNA?

Transconductance : Transconductance is a measure of an amplifier's ability to convert input voltage to output current. A higher transconductance generally leads to higher voltage gain.
Drain resistance : Drain resistance is the resistance between the drain of the transistor and the output of the amplifier. A higher drain resistance also contributes to higher voltage gain.

How to Calculate Voltage Gain of Low Noise Amplifier?

Voltage Gain of Low Noise Amplifier calculator uses Voltage Gain = Transconductance*Drain Resistance to calculate the Voltage Gain, The Voltage Gain of Low Noise Amplifier formula is defined as a measure of how much the amplifier can amplify a signal. It is typically expressed in decibels (dB). The absolute value notation is used because the voltage gain can be either positive or negative. Voltage Gain is denoted by A_v symbol.

How to calculate Voltage Gain of Low Noise Amplifier using this online calculator? To use this online calculator for Voltage Gain of Low Noise Amplifier, enter Transconductance (g_m) & Drain Resistance (R_d) and hit the calculate button. Here is how the Voltage Gain of Low Noise Amplifier calculation can be explained with given input values -> 7.668 = 2.18*3.6.

FAQ

What is Voltage Gain of Low Noise Amplifier?

The Voltage Gain of Low Noise Amplifier formula is defined as a measure of how much the amplifier can amplify a signal. It is typically expressed in decibels (dB). The absolute value notation is used because the voltage gain can be either positive or negative and is represented as A_v = g_m*R_d or Voltage Gain = Transconductance*Drain Resistance. Transconductance is a measure of how much current the amplifier can produce for a given input voltage & Drain Resistance is the resistance between the drain of the transistor and the output of the amplifier.

How to calculate Voltage Gain of Low Noise Amplifier?

The Voltage Gain of Low Noise Amplifier formula is defined as a measure of how much the amplifier can amplify a signal. It is typically expressed in decibels (dB). The absolute value notation is used because the voltage gain can be either positive or negative is calculated using Voltage Gain = Transconductance*Drain Resistance. To calculate Voltage Gain of Low Noise Amplifier, you need Transconductance (g_m) & Drain Resistance (R_d). With our tool, you need to enter the respective value for Transconductance & Drain Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Voltage Gain?

In this formula, Voltage Gain uses Transconductance & Drain Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Voltage Gain = 2*DC Voltage Drop/(Gate to Source Voltage-Threshold Voltage)

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