Load Impedance of Low Noise Amplifier Calculator

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Low Noise Amplifier

✖Input Impedance is the opposition to current flow into an electrical circuit when a voltage is applied to its input terminals.ⓘ Input Impedance [Z_in]			+10% -10%
✖Transconductance is a measure of how much current the amplifier can produce for a given input voltage.ⓘ Transconductance [g_m]			+10% -10%
✖Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.ⓘ Feedback Factor [α]			+10% -10%

✖Load Impedance is a measure of the resistance that the load presents to current flow at the FET's output.ⓘ Load Impedance of Low Noise Amplifier [Z_l]

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Formula

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Load Impedance of Low Noise Amplifier

Formula

`"Z"_{"l"} = ("Z"_{"in"}-(1/"g"_{"m"}))/"α"`

Example

`"10.18807Ω"=("1.07Ω"-(1/"2.18S"))/"0.06"`

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Load Impedance of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor
Z_l = (Z_in-(1/g_m))/α
This formula uses 4 Variables

Variables Used

Load Impedance - (Measured in Ohm) - Load Impedance is a measure of the resistance that the load presents to current flow at the FET's output.
Input Impedance - (Measured in Ohm) - Input Impedance is the opposition to current flow into an electrical circuit when a voltage is applied to its input terminals.
Transconductance - (Measured in Siemens) - Transconductance is a measure of how much current the amplifier can produce for a given input voltage.
Feedback Factor - Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.

STEP 1: Convert Input(s) to Base Unit

Input Impedance: 1.07 Ohm --> 1.07 Ohm No Conversion Required
Transconductance: 2.18 Siemens --> 2.18 Siemens No Conversion Required
Feedback Factor: 0.06 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_l = (Z_in-(1/g_m))/α --> (1.07-(1/2.18))/0.06

Evaluating ... ...

Z_l = 10.1880733944954

STEP 3: Convert Result to Output's Unit

10.1880733944954 Ohm --> No Conversion Required

FINAL ANSWER

10.1880733944954 ≈ 10.18807 Ohm <-- Load Impedance

(Calculation completed in 00.004 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

Suma Madhuri has created this Calculator and 50+ more calculators!

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

Load Impedance of Low Noise Amplifier Formula

Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor
Z_l = (Z_in-(1/g_m))/α

How can we match the load impedance of an LNA?

There are several ways to match the load impedance of an LNA:

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.

Transformer: A transformer can be used to transform the impedance of the load to a value that is closer to the impedance of the amplifier.

Active impedance matching: Active impedance matching circuits can be used to dynamically match the load impedance to the amplifier's output impedance.

How to Calculate Load Impedance of Low Noise Amplifier?

Load Impedance of Low Noise Amplifier calculator uses Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor to calculate the Load Impedance, The Load Impedance of Low Noise Amplifier formula is defined as a crucial parameter that determines the amplifier's ability to transfer power efficiently to the load and minimize reflections that can distort the signal. Load Impedance is denoted by Z_l symbol.

How to calculate Load Impedance of Low Noise Amplifier using this online calculator? To use this online calculator for Load Impedance of Low Noise Amplifier, enter Input Impedance (Z_in), Transconductance (g_m) & Feedback Factor (α) and hit the calculate button. Here is how the Load Impedance of Low Noise Amplifier calculation can be explained with given input values -> 10.18807 = (1.07-(1/2.18))/0.06.

FAQ

What is Load Impedance of Low Noise Amplifier?

The Load Impedance of Low Noise Amplifier formula is defined as a crucial parameter that determines the amplifier's ability to transfer power efficiently to the load and minimize reflections that can distort the signal and is represented as Z_l = (Z_in-(1/g_m))/α or Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor. Input Impedance is the opposition to current flow into an electrical circuit when a voltage is applied to its input terminals, Transconductance is a measure of how much current the amplifier can produce for a given input voltage & Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.

How to calculate Load Impedance of Low Noise Amplifier?

The Load Impedance of Low Noise Amplifier formula is defined as a crucial parameter that determines the amplifier's ability to transfer power efficiently to the load and minimize reflections that can distort the signal is calculated using Load Impedance = (Input Impedance-(1/Transconductance))/Feedback Factor. To calculate Load Impedance of Low Noise Amplifier, you need Input Impedance (Z_in), Transconductance (g_m) & Feedback Factor (α). With our tool, you need to enter the respective value for Input Impedance, Transconductance & Feedback Factor 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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