Source Impedance of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Source Impedance = 2*Output Impedance-Feedback Resistance
Rs = 2*Rout-Rf
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
Rs = 2*Rout-Rf --> 2*29-35
Evaluating ... ...
Rs = 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)

Credits

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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

Source Impedance of Low Noise Amplifier Formula

Source Impedance = 2*Output Impedance-Feedback Resistance
Rs = 2*Rout-Rf

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 Rs 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 (Rout) & Feedback Resistance (Rf) 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 Rs = 2*Rout-Rf 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 (Rout) & Feedback Resistance (Rf). 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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