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Small Signal Input Voltage given Transconductance Formula

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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). Check FAQs

V ss = V in \cdot (\frac{1}{1 + G m \cdot R})

V_ss - Small Signal?V_in - Input Voltage?G_m - Transconductance?R - Resistance?

Small Signal Input Voltage given Transconductance Example

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Here is how the Small Signal Input Voltage given Transconductance equation looks like with Values.

Here is how the Small Signal Input Voltage given Transconductance equation looks like with Units.

Here is how the Small Signal Input Voltage given Transconductance equation looks like.

0.8493 = 2.5 \cdot (\frac{1}{1 + 1.72 \cdot 1.13})

0.8493V = 2.5V \cdot (\frac{1}{1 + 1.72mS \cdot 1.13kΩ})

0.8493 = 2.5 \cdot (\frac{1}{1 + 1.72 \cdot 1.13})

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Small Signal Input Voltage given Transconductance Solution

Follow our step by step solution on how to calculate Small Signal Input Voltage given Transconductance?

FIRST Step Consider the formula

V ss = V in \cdot (\frac{1}{1 + G m \cdot R})

Next Step Substitute values of Variables

∴

V ss = 2.5V \cdot (\frac{1}{1 + 1.72mS \cdot 1.13kΩ})

Next Step Convert Units

∴

V ss = 2.5V \cdot (\frac{1}{1 + 0.0017S \cdot 1130Ω})

Next Step Prepare to Evaluate

∴

V ss = 2.5 \cdot (\frac{1}{1 + 0.0017 \cdot 1130})

Next Step Evaluate

∴

V ss = 0.849300176654437V

LAST Step Rounding Answer

∴

V ss = 0.8493V

Small Signal Input Voltage given Transconductance Formula Elements

Variables

Small Signal

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).

Symbol: V_ss

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Small Signal

Input Voltage

Input voltage is the voltage supplied to the device.

Symbol: V_in

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Input Voltage

Transconductance

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.

Symbol: G_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

Symbol: R

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Resistance

Other formulas in Voltage category

Go Total Instantaneous Gate-to-Source Voltage

V gs = V ss + V ox

Go Single Component of Drain Voltage

V DS = (- ΔI D \cdot R L)

Go Single Component of Drain Voltage given Transconductance

V DS = - G m \cdot V in \cdot R L

Go Voltage between Gate and Source

V gs = \frac{V in}{1 + G m \cdot R}

How to Evaluate Small Signal Input Voltage given Transconductance?

Small Signal Input Voltage given Transconductance evaluator uses Small Signal = Input Voltage*(1/(1+Transconductance*Resistance)) to evaluate 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 evaluate Small Signal Input Voltage given Transconductance using this online evaluator? To use this online evaluator for Small Signal Input Voltage given Transconductance, enter Input Voltage (V_in), Transconductance (G_m) & Resistance (R) and hit the calculate button.

FAQs on Small Signal Input Voltage given Transconductance

What is the formula to find Small Signal Input Voltage given Transconductance?

The formula of Small Signal Input Voltage given Transconductance is expressed as Small Signal = Input Voltage*(1/(1+Transconductance*Resistance)). Here is an example- 0.8493 = 2.5*(1/(1+0.00172*1130)).

How to calculate Small Signal Input Voltage given Transconductance?

With Input Voltage (V_in), Transconductance (G_m) & Resistance (R) we can find Small Signal Input Voltage given Transconductance using the formula - Small Signal = Input Voltage*(1/(1+Transconductance*Resistance)).

Can the Small Signal Input Voltage given Transconductance be negative?

Yes, the Small Signal Input Voltage given Transconductance, measured in Electric Potential can be negative.

Which unit is used to measure Small Signal Input Voltage given Transconductance?

Small Signal Input Voltage given Transconductance is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Small Signal Input Voltage given Transconductance can be measured.

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Small Signal Input Voltage given Transconductance Formula

Small Signal Input Voltage given Transconductance Example

Small Signal Input Voltage given Transconductance Solution

Small Signal Input Voltage given Transconductance Formula Elements

Other formulas in Voltage category

How to Evaluate Small Signal Input Voltage given Transconductance?

FAQs on Small Signal Input Voltage given Transconductance

Variable Name