Small Signal Input Voltage given Transconductance Calculator

✖Input voltage is the voltage supplied to the device.ⓘ Input Voltage [V_in]			+10% -10%
✖Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.ⓘ Transconductance [G_m]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%

✖Small signal is an AC signal (more technically, a signal having zero average value) superimposed on a bias signal (or superimposed on a DC constant signal).ⓘ Small Signal Input Voltage given Transconductance [V_ss]

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Formula

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Small Signal Input Voltage given Transconductance

Formula

`"V"_{"ss"} = "V"_{"in"}*(1/(1+"G"_{"m"}*"R"))`

Example

`"0.8493V"="2.50V"*(1/(1+"1.72mS"*"1.13kΩ"))`

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Small Signal Input Voltage given Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Small Signal = Input Voltage*(1/(1+Transconductance*Resistance))
V_ss = V_in*(1/(1+G_m*R))
This formula uses 4 Variables

Variables Used

Small Signal - (Measured in Volt) - Small signal is an AC signal (more technically, a signal having zero average value) superimposed on a bias signal (or superimposed on a DC constant signal).
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to the device.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 2.5 Volt --> 2.5 Volt No Conversion Required
Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion here)
Resistance: 1.13 Kilohm --> 1130 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ss = V_in*(1/(1+G_m*R)) --> 2.5*(1/(1+0.00172*1130))

Evaluating ... ...

V_ss = 0.849300176654437

STEP 3: Convert Result to Output's Unit

0.849300176654437 Volt --> No Conversion Required

FINAL ANSWER

0.849300176654437 ≈ 0.8493 Volt <-- Small Signal

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 12 Voltage Calculators

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Go Input Voltage = Base Current/((1/Input Resistance)+Complex Frequency Variable*(Collector-Base Junction Capacitance+Base–Emitter Junction Capacitance))

Voltage across Collector-Emitter of BJT Amplifier

Go Collector-Emitter Voltage = Supply Voltage-Load Resistance*Saturation Current*e^(Base-Emitter Voltage/Threshold Voltage)

Finite Input Voltage of BJT at Unity Gain Frequency

Go Input Voltage = Base Current*(1/Input Resistance+1/Collector-Base Junction Capacitance+1/Emitter-Base Capacitance)

Single Component of Drain Voltage given Transconductance

Go Total Instantaneous Drain Voltage = -Transconductance*Input Voltage*Load Resistance

Voltage between Gate and Source

Go Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance)

Output Voltage given Transconductance

Go Output Voltage = -(Transconductance*Load Resistance*Input Voltage)

Small Signal Input Voltage given Transconductance

Go Small Signal = Input Voltage*(1/(1+Transconductance*Resistance))

Output Voltage of BJT Amplifier

Go Output Voltage = Supply Voltage-Drain Current*Load Resistance

Single Component of Drain Voltage

Go Total Instantaneous Drain Voltage = (-Change in Drain Current*Load Resistance)

Collector to Emitter Voltage at Saturation

Go Collector-Emitter Voltage = Base-Emitter Voltage-Base-Collector Voltage

Total Instantaneous Gate-to-Source Voltage

Go Gate to Source Voltage = Small Signal+Voltage Across Oxide

Supply Voltage at Maximum Power Dissipation

Go Supply Voltage = (pi*Power)/2

Small Signal Input Voltage given Transconductance Formula

Small Signal = Input Voltage*(1/(1+Transconductance*Resistance))
V_ss = V_in*(1/(1+G_m*R))

What is small-signal model?

A small-signal model is an AC equivalent circuit in which the nonlinear circuit elements are replaced by linear elements whose values are given by the first-order (linear) approximation of their characteristic curve near the bias point.

How to Calculate Small Signal Input Voltage given Transconductance?

Small Signal Input Voltage given Transconductance calculator uses Small Signal = Input Voltage*(1/(1+Transconductance*Resistance)) to calculate the Small Signal, The Small Signal Input Voltage given Transconductance formula is defined as a quantitative expression of the potential difference in electrical charge between two points in an electrical field. Small Signal is denoted by V_ss symbol.

How to calculate Small Signal Input Voltage given Transconductance using this online calculator? To use this online calculator for Small Signal Input Voltage given Transconductance, enter Input Voltage (V_in), Transconductance (G_m) & Resistance (R) and hit the calculate button. Here is how the Small Signal Input Voltage given Transconductance calculation can be explained with given input values -> 0.8493 = 2.5*(1/(1+0.00172*1130)).

FAQ

What is Small Signal Input Voltage given Transconductance?

The Small Signal Input Voltage given Transconductance formula is defined as a quantitative expression of the potential difference in electrical charge between two points in an electrical field and is represented as V_ss = V_in*(1/(1+G_m*R)) or Small Signal = Input Voltage*(1/(1+Transconductance*Resistance)). Input voltage is the voltage supplied to the device, Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device & Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

How to calculate Small Signal Input Voltage given Transconductance?

The Small Signal Input Voltage given Transconductance formula is defined as a quantitative expression of the potential difference in electrical charge between two points in an electrical field is calculated using Small Signal = Input Voltage*(1/(1+Transconductance*Resistance)). To calculate Small Signal Input Voltage given Transconductance, you need Input Voltage (V_in), Transconductance (G_m) & Resistance (R). With our tool, you need to enter the respective value for Input Voltage, Transconductance & 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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