Gate to Source Voltage with respect to Small Signal Resistance Calculator

✖The Input voltage is the voltage detected at the input of the transistor.ⓘ Input Voltage [V_in]			+10% -10%
✖Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.ⓘ Transconductance [g_m]			+10% -10%
✖Source Resistance is the amount of resistance applied at the source terminal of the transistor.ⓘ Source Resistance [R_s]			+10% -10%
✖The small signal resistance is a measure of the opposition to the flow of small signals in an electronic circuit.ⓘ Small Signal Resistance [r_o]			+10% -10%

✖Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.ⓘ Gate to Source Voltage with respect to Small Signal Resistance [V_c]

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Gate to Source Voltage with respect to Small Signal Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))))
V_c = V_in*((1/g_m)/((1/g_m)*((R_s*r_o)/(R_s+r_o))))
This formula uses 5 Variables

Variables Used

Critical Voltage - (Measured in Volt) - Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.
Input Voltage - (Measured in Volt) - The Input voltage is the voltage detected at the input of the transistor.
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.
Source Resistance - Source Resistance is the amount of resistance applied at the source terminal of the transistor.
Small Signal Resistance - (Measured in Ohm) - The small signal resistance is a measure of the opposition to the flow of small signals in an electronic circuit.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 9.4 Volt --> 9.4 Volt No Conversion Required
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Source Resistance: 12.6 --> No Conversion Required
Small Signal Resistance: 10.1 Kilohm --> 10100 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = V_in*((1/g_m)/((1/g_m)*((R_s*r_o)/(R_s+r_o)))) --> 9.4*((1/0.0005)/((1/0.0005)*((12.6*10100)/(12.6+10100))))

Evaluating ... ...

V_c = 0.746962439101053

STEP 3: Convert Result to Output's Unit

0.746962439101053 Volt --> No Conversion Required

FINAL ANSWER

0.746962439101053 ≈ 0.746962 Volt <-- Critical Voltage

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT Vellore), Vellore

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< Small Signal Analysis Calculators

Output Voltage of Small Signal P-Channel

LaTeX Go Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))

Small-Signal Voltage Gain with respect to Drain Resistance

LaTeX Go Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain Resistance)))

Transconductance Given Small Signal Parameters

LaTeX Go Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)

Small Signal Output Voltage

LaTeX Go Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance

Gate to Source Voltage with respect to Small Signal Resistance Formula

LaTeX Go

What is the application of Gate to Source Voltage ?

The application of Gate to Source Voltage is to generate a voltage signal that is proportional to the input signal at the gate terminal. This allows the amplifier to amplify the input signal while maintaining a constant output voltage.

How to Calculate Gate to Source Voltage with respect to Small Signal Resistance?

Gate to Source Voltage with respect to Small Signal Resistance calculator uses Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))) to calculate the Critical Voltage, The Gate to Source Voltage with respect to Small Signal Resistance formula is defined as is a measure of the voltage gain of an operational amplifier (op-amp) circuit. It is calculated by dividing the output voltage by the input voltage. Critical Voltage is denoted by V_c symbol.

How to calculate Gate to Source Voltage with respect to Small Signal Resistance using this online calculator? To use this online calculator for Gate to Source Voltage with respect to Small Signal Resistance, enter Input Voltage (V_in), Transconductance (g_m), Source Resistance (R_s) & Small Signal Resistance (r_o) and hit the calculate button. Here is how the Gate to Source Voltage with respect to Small Signal Resistance calculation can be explained with given input values -> 0.746962 = 9.4*((1/0.0005)/((1/0.0005)*((12.6*10100)/(12.6+10100)))).

FAQ

What is Gate to Source Voltage with respect to Small Signal Resistance?

The Gate to Source Voltage with respect to Small Signal Resistance formula is defined as is a measure of the voltage gain of an operational amplifier (op-amp) circuit. It is calculated by dividing the output voltage by the input voltage and is represented as V_c = V_in*((1/g_m)/((1/g_m)*((R_s*r_o)/(R_s+r_o)))) or Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))). The Input voltage is the voltage detected at the input of the transistor, Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant, Source Resistance is the amount of resistance applied at the source terminal of the transistor & The small signal resistance is a measure of the opposition to the flow of small signals in an electronic circuit.

How to calculate Gate to Source Voltage with respect to Small Signal Resistance?

The Gate to Source Voltage with respect to Small Signal Resistance formula is defined as is a measure of the voltage gain of an operational amplifier (op-amp) circuit. It is calculated by dividing the output voltage by the input voltage is calculated using Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance)))). To calculate Gate to Source Voltage with respect to Small Signal Resistance, you need Input Voltage (V_in), Transconductance (g_m), Source Resistance (R_s) & Small Signal Resistance (r_o). With our tool, you need to enter the respective value for Input Voltage, Transconductance, Source Resistance & Small Signal Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Critical Voltage?

In this formula, Critical Voltage uses Input Voltage, Transconductance, Source Resistance & Small Signal Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Voltage = Input Voltage/(1+Self Induced Resistance*Transconductance)

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