LCM of two numbers

Feedback Factor of Low Noise Amplifier Calculator

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✖Transconductance is a measure of how much current the amplifier can produce for a given input voltage.ⓘ Transconductance [g_m]			+10% -10%
✖Source Impedance is the opposition to current flow that the source presents to the load.ⓘ Source Impedance [R_s]			+10% -10%
✖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%

✖Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.ⓘ Feedback Factor of Low Noise Amplifier [α]

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Formula

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Feedback Factor of Low Noise Amplifier

Formula

α = \frac{g m \cdot R s - 1}{2 \cdot g m \cdot R s \cdot A v}

Example

0.061253 = \frac{2.18 S \cdot 23 Ω - 1}{2 \cdot 2.18 S \cdot 23 Ω \cdot 8}

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Feedback Factor of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)
α = (g_m*R_s-1)/(2*g_m*R_s*A_v)
This formula uses 4 Variables

Variables Used

Feedback Factor - Feedback Factor is a critical parameter that determines the stability and noise performance of amplifiers.
Transconductance - (Measured in Siemens) - Transconductance is a measure of how much current the amplifier can produce for a given input voltage.
Source Impedance - (Measured in Ohm) - Source Impedance is the opposition to current flow that the source presents to the load.
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.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 2.18 Siemens --> 2.18 Siemens No Conversion Required
Source Impedance: 23 Ohm --> 23 Ohm No Conversion Required
Voltage Gain: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = (g_m*R_s-1)/(2*g_m*R_s*A_v) --> (2.18*23-1)/(2*2.18*23*8)

Evaluating ... ...

α = 0.0612534902273634

STEP 3: Convert Result to Output's Unit

0.0612534902273634 --> No Conversion Required

FINAL ANSWER

0.0612534902273634 ≈ 0.061253 <-- Feedback Factor

(Calculation completed in 00.004 seconds)

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< RF Microelectronics Calculators

Return Loss of Low-Noise Amplifier

Go Return Loss = modulus((Input Impedance-Source Impedance)/(Input Impedance+Source Impedance))^2

Voltage Gain of Low Noise Amplifier given DC Voltage Drop

Go Voltage Gain = 2*DC Voltage Drop/(Gate to Source Voltage-Threshold Voltage)

Output Impedance of Low Noise Amplifier

Go Output Impedance = (1/2)*(Feedback Resistance+Source Impedance)

Voltage Gain of Low Noise Amplifier

Go Voltage Gain = Transconductance*Drain Resistance

Feedback Factor of Low Noise Amplifier Formula

Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain)
α = (g_m*R_s-1)/(2*g_m*R_s*A_v)

What are the drawbacks of using feedback in LNAs?

There are also some drawbacks to using feedback in LNAs, including:

Reduced bandwidth: Feedback can reduce the bandwidth of an LNA. This is because feedback can cause reflections of signals, which can distort the signal and reduce the amplifier's bandwidth.
Increased instability: Feedback can make an LNA more susceptible to oscillation. This is because feedback can create a positive feedback loop, which can cause the amplifier to oscillate.

How to Calculate Feedback Factor of Low Noise Amplifier?

Feedback Factor of Low Noise Amplifier calculator uses Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain) to calculate the Feedback Factor, The Feedback Factor of Low Noise Amplifier formula is defined as a critical parameter that determines the stability and noise performance of amplifiers. It is a measure of the amount of signal that is fed back from the output of an amplifier to its input. Feedback Factor is denoted by α symbol.

How to calculate Feedback Factor of Low Noise Amplifier using this online calculator? To use this online calculator for Feedback Factor of Low Noise Amplifier, enter Transconductance (g_m), Source Impedance (R_s) & Voltage Gain (A_v) and hit the calculate button. Here is how the Feedback Factor of Low Noise Amplifier calculation can be explained with given input values -> 0.061224 = (2.18*23-1)/(2*2.18*23*8).

FAQ

What is Feedback Factor of Low Noise Amplifier?

The Feedback Factor of Low Noise Amplifier formula is defined as a critical parameter that determines the stability and noise performance of amplifiers. It is a measure of the amount of signal that is fed back from the output of an amplifier to its input and is represented as α = (g_m*R_s-1)/(2*g_m*R_s*A_v) or Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain). Transconductance is a measure of how much current the amplifier can produce for a given input voltage, Source Impedance is the opposition to current flow that the source presents to the load & Voltage Gain s a crucial parameter for low-noise amplifiers as it determines the amplifier's ability to amplify weak signals while minimizing noise.

How to calculate Feedback Factor of Low Noise Amplifier?

The Feedback Factor of Low Noise Amplifier formula is defined as a critical parameter that determines the stability and noise performance of amplifiers. It is a measure of the amount of signal that is fed back from the output of an amplifier to its input is calculated using Feedback Factor = (Transconductance*Source Impedance-1)/(2*Transconductance*Source Impedance*Voltage Gain). To calculate Feedback Factor of Low Noise Amplifier, you need Transconductance (g_m), Source Impedance (R_s) & Voltage Gain (A_v). With our tool, you need to enter the respective value for Transconductance, Source Impedance & Voltage Gain 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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