Transconductance of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage)
gm = (2*Id)/(Vgs-Vth)
This formula uses 4 Variables
Variables Used
Transconductance - (Measured in Siemens) - Transconductance is a measure of how much current the amplifier can produce for a given input voltage.
Drain Current - (Measured in Ampere) - Drain Current is the current flowing through the drain terminal of a field-effect transistor .
Gate to Source Voltage - (Measured in Volt) - Gate to Source Voltage is the voltage applied between the gate and source terminals of a field-effect transistor.
Threshold Voltage - (Measured in Volt) - Threshold Voltage is the minimum gate-to-source voltage that is needed to create a conducting path between the source and drain terminals of a field-effect transistor.
STEP 1: Convert Input(s) to Base Unit
Drain Current: 11.99 Ampere --> 11.99 Ampere No Conversion Required
Gate to Source Voltage: 43 Volt --> 43 Volt No Conversion Required
Threshold Voltage: 32 Volt --> 32 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = (2*Id)/(Vgs-Vth) --> (2*11.99)/(43-32)
Evaluating ... ...
gm = 2.18
STEP 3: Convert Result to Output's Unit
2.18 Siemens --> No Conversion Required
FINAL ANSWER
2.18 Siemens <-- Transconductance
(Calculation completed in 00.020 seconds)

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Created by Suma Madhuri
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

Transconductance of Low Noise Amplifier Formula

Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage)
gm = (2*Id)/(Vgs-Vth)

Why is transconductance important for LNAs?

Transconductance plays a pivotal role in determining the gain and noise performance of LNAs. A higher transconductance generally translates to higher voltage gain, enabling the amplifier to amplify weak signals effectively. However, it's essential to strike a balance between transconductance and noise performance, as excessive transconductance can amplify both the desired signal and unwanted noise.

How to Calculate Transconductance of Low Noise Amplifier?

Transconductance of Low Noise Amplifier calculator uses Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage) to calculate the Transconductance, The Transconductance of Low Noise Amplifier formula is defined as a crucial parameter for low-noise amplifiers (LNAs), as it determines the amplifier's ability to convert input voltage to output current. Transconductance is denoted by gm symbol.

How to calculate Transconductance of Low Noise Amplifier using this online calculator? To use this online calculator for Transconductance of Low Noise Amplifier, enter Drain Current (Id), Gate to Source Voltage (Vgs) & Threshold Voltage (Vth) and hit the calculate button. Here is how the Transconductance of Low Noise Amplifier calculation can be explained with given input values -> 2.18 = (2*11.99)/(43-32).

FAQ

What is Transconductance of Low Noise Amplifier?
The Transconductance of Low Noise Amplifier formula is defined as a crucial parameter for low-noise amplifiers (LNAs), as it determines the amplifier's ability to convert input voltage to output current and is represented as gm = (2*Id)/(Vgs-Vth) or Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage). Drain Current is the current flowing through the drain terminal of a field-effect transistor , Gate to Source Voltage is the voltage applied between the gate and source terminals of a field-effect transistor & Threshold Voltage is the minimum gate-to-source voltage that is needed to create a conducting path between the source and drain terminals of a field-effect transistor.
How to calculate Transconductance of Low Noise Amplifier?
The Transconductance of Low Noise Amplifier formula is defined as a crucial parameter for low-noise amplifiers (LNAs), as it determines the amplifier's ability to convert input voltage to output current is calculated using Transconductance = (2*Drain Current)/(Gate to Source Voltage-Threshold Voltage). To calculate Transconductance of Low Noise Amplifier, you need Drain Current (Id), Gate to Source Voltage (Vgs) & Threshold Voltage (Vth). With our tool, you need to enter the respective value for Drain Current, Gate to Source Voltage & Threshold Voltage 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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