Gate to Source Voltage of Low Noise Amplifier Calculator

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Low Noise Amplifier

✖Drain Current is the current flowing through the drain terminal of a field-effect transistor .ⓘ Drain Current [I_d]			+10% -10%
✖Transconductance is a measure of how much current the amplifier can produce for a given input voltage.ⓘ Transconductance [g_m]			+10% -10%
✖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.ⓘ Threshold Voltage [V_th]			+10% -10%

✖Gate to Source Voltage is the voltage applied between the gate and source terminals of a field-effect transistor.ⓘ Gate to Source Voltage of Low Noise Amplifier [V_gs]

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Formula

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Gate to Source Voltage of Low Noise Amplifier

Formula

`"V"_{"gs"} = ((2*"I"_{"d"})/("g"_{"m"}))+"V"_{"th"}`

Example

`"43V"=((2*"11.99A")/("2.18S"))+"32V"`

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Gate to Source Voltage of Low Noise Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage
V_gs = ((2*I_d)/(g_m))+V_th
This formula uses 4 Variables

Variables Used

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.
Drain Current - (Measured in Ampere) - Drain Current is the current flowing through the drain terminal of a field-effect transistor .
Transconductance - (Measured in Siemens) - Transconductance is a measure of how much current the amplifier can produce for a given input voltage.
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
Transconductance: 2.18 Siemens --> 2.18 Siemens No Conversion Required
Threshold Voltage: 32 Volt --> 32 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_gs = ((2*I_d)/(g_m))+V_th --> ((2*11.99)/(2.18))+32

Evaluating ... ...

V_gs = 43

STEP 3: Convert Result to Output's Unit

43 Volt --> No Conversion Required

FINAL ANSWER

43 Volt <-- Gate to Source Voltage

(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

Parminder Singh has verified this Calculator and 600+ more calculators!

< 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

Gate to Source Voltage of Low Noise Amplifier Formula

Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage
V_gs = ((2*I_d)/(g_m))+V_th

How is gate to source voltage controlled in LNAs?

The gate to source voltage of an LNA is typically controlled by applying a bias voltage to the gate terminal of the transistor. This bias voltage can be provided by a separate circuit or can be integrated into the LNA's design. The optimal VGS value depends on the specific transistor and LNA design and is often determined through careful analysis and experimentation.

How to Calculate Gate to Source Voltage of Low Noise Amplifier?

Gate to Source Voltage of Low Noise Amplifier calculator uses Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage to calculate the Gate to Source Voltage, The Gate to Source Voltage of Low Noise Amplifier formula is defined as a crucial parameter that determines the transistor's operating point and significantly influences the amplifier's performance. Gate to Source Voltage is denoted by V_gs symbol.

How to calculate Gate to Source Voltage of Low Noise Amplifier using this online calculator? To use this online calculator for Gate to Source Voltage of Low Noise Amplifier, enter Drain Current (I_d), Transconductance (g_m) & Threshold Voltage (V_th) and hit the calculate button. Here is how the Gate to Source Voltage of Low Noise Amplifier calculation can be explained with given input values -> 43.25822 = ((2*11.99)/(2.18))+32.

FAQ

What is Gate to Source Voltage of Low Noise Amplifier?

The Gate to Source Voltage of Low Noise Amplifier formula is defined as a crucial parameter that determines the transistor's operating point and significantly influences the amplifier's performance and is represented as V_gs = ((2*I_d)/(g_m))+V_th or Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage. Drain Current is the current flowing through the drain terminal of a field-effect transistor , Transconductance is a measure of how much current the amplifier can produce for a given input voltage & 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 Gate to Source Voltage of Low Noise Amplifier?

The Gate to Source Voltage of Low Noise Amplifier formula is defined as a crucial parameter that determines the transistor's operating point and significantly influences the amplifier's performance is calculated using Gate to Source Voltage = ((2*Drain Current)/(Transconductance))+Threshold Voltage. To calculate Gate to Source Voltage of Low Noise Amplifier, you need Drain Current (I_d), Transconductance (g_m) & Threshold Voltage (V_th). With our tool, you need to enter the respective value for Drain Current, Transconductance & 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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