## Voltage Gain of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage Gain = Transconductance*Drain Resistance
Av = gm*Rd
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
Av = gm*Rd --> 2.18*3.6
Evaluating ... ...
Av = 7.848
STEP 3: Convert Result to Output's Unit
7.848 --> No Conversion Required
7.848 <-- Voltage Gain
(Calculation completed in 00.004 seconds)
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## < 14 Low-Noise Amplifiers and Mixers Calculators

Feedback Factor of Low Noise Amplifier
Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)
Return Loss of Low-Noise Amplifier
Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2
Noise Figure of Low Noise Amplifier
Noise Figure = 1+((4*Source Impedance)/Feedback Resistance)+Noise Factor of Transistor
Gate to Source Voltage of Low Noise Amplifier
Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage
Threshold Voltage of Low Noise Amplifier
Threshold Voltage = Gate to Source Voltage-(2*Drain Current)/(Transconductance)
Transconductance of Low Noise Amplifier
Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage)
Drain Current of Low Noise Amplifier
Drain Current = (Transconductance*(Gate to Source Voltage-Threshold Voltage))/2
Voltage Gain of Low Noise Amplifier given DC Voltage Drop
Voltage Gain = 2*DC Voltage Drop/(Gate to Source Voltage-Threshold Voltage)
Load Impedance of Low Noise Amplifier
Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor
Input Impedance of Low Noise Amplifier
Input Impedance = (1/Transconductance)+Feedback Factor*Load Impedance
Output Impedance of Low Noise Amplifier
Output Impedance = (1/2)*(Feedback Resistance+Source Impedance)
Source Impedance of Low Noise Amplifier
Source Impedance = 2*Output Impedance-Feedback Resistance
Drain Resistance of Low Noise Amplifier
Drain Resistance = Voltage Gain/Transconductance
Voltage Gain of Low Noise Amplifier
Voltage Gain = Transconductance*Drain Resistance

## Voltage Gain of Low Noise Amplifier Formula

Voltage Gain = Transconductance*Drain Resistance
Av = gm*Rd

## 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 Av 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 (gm) & Drain Resistance (Rd) 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 Av = gm*Rd 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 (gm) & Drain Resistance (Rd). 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) Let Others Know