Small Signal Input Voltage given Transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Small Signal = Input Voltage*(1/(1+Transconductance*Resistance))
Vss = Vin*(1/(1+Gm*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
Vss = Vin*(1/(1+Gm*R)) --> 2.5*(1/(1+0.00172*1130))
Evaluating ... ...
Vss = 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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Birsa Institute of Technology (BIT), Sindri
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Small Signal Input Voltage given Transconductance Formula

​LaTeX ​Go
Small Signal = Input Voltage*(1/(1+Transconductance*Resistance))
Vss = Vin*(1/(1+Gm*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 Vss 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 (Vin), Transconductance (Gm) & 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 Vss = Vin*(1/(1+Gm*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 (Vin), Transconductance (Gm) & 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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