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Drain Resistance of Low Noise Amplifier Calculator

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

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

Example
`"3.669725Ω"="8"/"2.18S"`

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Drain Resistance of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drain Resistance = Voltage Gain/Transconductance
Rd = Av/gm
This formula uses 3 Variables
Variables Used
Drain Resistance - (Measured in Ohm) - Drain Resistance is the resistance between the drain of the transistor and the output of the amplifier.
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.
STEP 1: Convert Input(s) to Base Unit
Voltage Gain: 8 --> No Conversion Required
Transconductance: 2.18 Siemens --> 2.18 Siemens No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rd = Av/gm --> 8/2.18
Evaluating ... ...
Rd = 3.6697247706422
STEP 3: Convert Result to Output's Unit
3.6697247706422 Ohm --> No Conversion Required
FINAL ANSWER
3.6697247706422 ≈ 3.669725 Ohm <-- Drain Resistance
(Calculation completed in 00.020 seconds)
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VIT University (VIT), Chennai
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14 Low-Noise Amplifiers and Mixers Calculators

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
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

Drain Resistance of Low Noise Amplifier Formula

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

How can we improve the drain resistance of an LNA?

There are several ways to improve the drain resistance of an LNA:

Use a low-output-impedance transistor. The output transistor is the transistor that is responsible for driving the load. Choosing a low-output-impedance transistor can help to reduce the output impedance of the amplifier.
Use a matching network. A matching network is a circuit that is designed to transform the impedance of the load to a value that is closer to the impedance of the amplifier.
Use a feedback resistor. A feedback resistor is a resistor that is connected between the output of the amplifier and the input of the amplifier. This can help to reduce the output impedance of the amplifier.

How to Calculate Drain Resistance of Low Noise Amplifier?

Drain Resistance of Low Noise Amplifier calculator uses Drain Resistance = Voltage Gain/Transconductance to calculate the Drain Resistance, The Drain Resistance of Low Noise Amplifier formula is defined as a measure of the resistance that the LNA presents to current flow at its drain terminal. Drain Resistance is denoted by Rd symbol.

How to calculate Drain Resistance of Low Noise Amplifier using this online calculator? To use this online calculator for Drain Resistance of Low Noise Amplifier, enter Voltage Gain (Av) & Transconductance (gm) and hit the calculate button. Here is how the Drain Resistance of Low Noise Amplifier calculation can be explained with given input values -> 3.755869 = 8/2.18.

FAQ

What is Drain Resistance of Low Noise Amplifier?
The Drain Resistance of Low Noise Amplifier formula is defined as a measure of the resistance that the LNA presents to current flow at its drain terminal and is represented as Rd = Av/gm or Drain Resistance = Voltage Gain/Transconductance. 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 is a measure of how much current the amplifier can produce for a given input voltage.
How to calculate Drain Resistance of Low Noise Amplifier?
The Drain Resistance of Low Noise Amplifier formula is defined as a measure of the resistance that the LNA presents to current flow at its drain terminal is calculated using Drain Resistance = Voltage Gain/Transconductance. To calculate Drain Resistance of Low Noise Amplifier, you need Voltage Gain (Av) & Transconductance (gm). With our tool, you need to enter the respective value for Voltage Gain & Transconductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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