Drain Resistance of Low Noise Amplifier Calculator

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Low Noise Amplifier

✖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 [A_v]			+10% -10%
✖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 of Low Noise Amplifier [R_d]

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Formula

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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
R_d = A_v/g_m
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

R_d = A_v/g_m --> 8/2.18

Evaluating ... ...

R_d = 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 00.004 seconds)

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VIT University (VIT), Chennai

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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

Drain Resistance of Low Noise Amplifier Formula

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

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 R_d 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 (A_v) & Transconductance (g_m) 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 R_d = A_v/g_m 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 (A_v) & Transconductance (g_m). 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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