Source Impedance of Low Noise Amplifier Calculator

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Low Noise Amplifier

✖Output Impedance is a measure of the opposition to current flow that an electrical source presents to its load.ⓘ Output Impedance [R_out]			+10% -10%
✖Feedback Resistance is a resistance that is connected between the output of the amplifier and the input of the amplifier.ⓘ Feedback Resistance [R_f]			+10% -10%

✖Source Impedance is the opposition to current flow that the source presents to the load.ⓘ Source Impedance of Low Noise Amplifier [R_s]

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Formula

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Source Impedance of Low Noise Amplifier

Formula

`"R"_{"s"} = 2*"R"_{"out"}-"R"_{"f"}`

Example

`"23Ω"=2*"29Ω"-"35Ω"`

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Source Impedance of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Impedance = 2*Output Impedance-Feedback Resistance
R_s = 2*R_out-R_f
This formula uses 3 Variables

Variables Used

Source Impedance - (Measured in Ohm) - Source Impedance is the opposition to current flow that the source presents to the load.
Output Impedance - (Measured in Ohm) - Output Impedance is a measure of the opposition to current flow that an electrical source presents to its load.
Feedback Resistance - (Measured in Ohm) - Feedback Resistance is a resistance that is connected between the output of the amplifier and the input of the amplifier.

STEP 1: Convert Input(s) to Base Unit

Output Impedance: 29 Ohm --> 29 Ohm No Conversion Required
Feedback Resistance: 35 Ohm --> 35 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_s = 2*R_out-R_f --> 2*29-35

Evaluating ... ...

R_s = 23

STEP 3: Convert Result to Output's Unit

23 Ohm --> No Conversion Required

FINAL ANSWER

23 Ohm <-- Source Impedance

(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

Source Impedance of Low Noise Amplifier Formula

Source Impedance = 2*Output Impedance-Feedback Resistance
R_s = 2*R_out-R_f

What are the applications of source impedance matching in LNAs?

Source impedance matching is crucial in various applications where LNAs are employed:

Radio astronomy: LNAs in radio astronomy require precise source impedance matching to minimize reflections that can degrade the quality of astronomical signals.

Medical imaging: LNAs in medical imaging equipment, such as MRI scanners, need accurate source impedance matching to ensure the integrity of the signals used for diagnostics and treatment.

Wireless communication systems: LNAs in wireless communication systems, such as cellular networks, must have proper source impedance matching to maximize power transfer and minimize signal distortion.

How to Calculate Source Impedance of Low Noise Amplifier?

Source Impedance of Low Noise Amplifier calculator uses Source Impedance = 2*Output Impedance-Feedback Resistance to calculate the Source Impedance, The Source Impedance of Low Noise Amplifier formula is defined as the electrical resistance presented to an amplifier's input terminal by the connected signal source. Source Impedance is denoted by R_s symbol.

How to calculate Source Impedance of Low Noise Amplifier using this online calculator? To use this online calculator for Source Impedance of Low Noise Amplifier, enter Output Impedance (R_out) & Feedback Resistance (R_f) and hit the calculate button. Here is how the Source Impedance of Low Noise Amplifier calculation can be explained with given input values -> 23 = 2*29-35.

FAQ

What is Source Impedance of Low Noise Amplifier?

The Source Impedance of Low Noise Amplifier formula is defined as the electrical resistance presented to an amplifier's input terminal by the connected signal source and is represented as R_s = 2*R_out-R_f or Source Impedance = 2*Output Impedance-Feedback Resistance. Output Impedance is a measure of the opposition to current flow that an electrical source presents to its load & Feedback Resistance is a resistance that is connected between the output of the amplifier and the input of the amplifier.

How to calculate Source Impedance of Low Noise Amplifier?

The Source Impedance of Low Noise Amplifier formula is defined as the electrical resistance presented to an amplifier's input terminal by the connected signal source is calculated using Source Impedance = 2*Output Impedance-Feedback Resistance. To calculate Source Impedance of Low Noise Amplifier, you need Output Impedance (R_out) & Feedback Resistance (R_f). With our tool, you need to enter the respective value for Output Impedance & Feedback Resistance 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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