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Transconductance using Collector Current Formula

GoShort-Circuit Transconductance Formula

GoTransconductance of BJT at Intrinsic Gain Formula

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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. Check FAQs

G m = \frac{I c}{V th}

G_m - Transconductance?I_c - Collector Current?V_th - Threshold Voltage?

Transconductance using Collector Current Example

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Here is how the Transconductance using Collector Current equation looks like with Values.

Here is how the Transconductance using Collector Current equation looks like with Units.

Here is how the Transconductance using Collector Current equation looks like.

0.9091 = \frac{5}{5.5}

0.9091mS = \frac{5mA}{5.5V}

0.9091 = \frac{5}{5.5}

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Transconductance using Collector Current Solution

Follow our step by step solution on how to calculate Transconductance using Collector Current?

FIRST Step Consider the formula

G m = \frac{I c}{V th}

Next Step Substitute values of Variables

∴

G m = \frac{5mA}{5.5V}

Next Step Convert Units

∴

G m = \frac{0.005A}{5.5V}

Next Step Prepare to Evaluate

∴

G m = \frac{0.005}{5.5}

Next Step Evaluate

∴

G m = 0.000909090909090909S

Next Step Convert to Output's Unit

∴

G m = 0.909090909090909mS

LAST Step Rounding Answer

∴

G m = 0.9091mS

Transconductance using Collector Current Formula Elements

Variables

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

Collector Current

Collector current is an amplified output current of a bipolar junction transistor.

Symbol: I_c

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Collector Current

Threshold Voltage

Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals.

Symbol: V_th

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Threshold Voltage

Other Formulas to find Transconductance

Go Short-Circuit Transconductance

G m = \frac{I o}{V in}

Go Transconductance of BJT at Intrinsic Gain

G m = \frac{I d}{V gs}

Other formulas in Transconductance category

Go Body Transconductance

G mb = χ \cdot G m

How to Evaluate Transconductance using Collector Current?

Transconductance using Collector Current evaluator uses Transconductance = Collector Current/Threshold Voltage to evaluate the Transconductance, The Transconductance using collector current is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage. Transconductance is denoted by G_m symbol.

How to evaluate Transconductance using Collector Current using this online evaluator? To use this online evaluator for Transconductance using Collector Current, enter Collector Current (I_c) & Threshold Voltage (V_th) and hit the calculate button.

FAQs on Transconductance using Collector Current

What is the formula to find Transconductance using Collector Current?

The formula of Transconductance using Collector Current is expressed as Transconductance = Collector Current/Threshold Voltage. Here is an example- 909.0909 = 0.005/5.5.

How to calculate Transconductance using Collector Current?

With Collector Current (I_c) & Threshold Voltage (V_th) we can find Transconductance using Collector Current using the formula - Transconductance = Collector Current/Threshold Voltage.

What are the other ways to Calculate Transconductance?

Here are the different ways to Calculate Transconductance-

Transconductance=Output Current/Input Voltage
Transconductance=Drain Current/Gate to Source Voltage

Can the Transconductance using Collector Current be negative?

Yes, the Transconductance using Collector Current, measured in Electric Conductance can be negative.

Which unit is used to measure Transconductance using Collector Current?

Transconductance using Collector Current is usually measured using the Millisiemens[mS] for Electric Conductance. Siemens[mS], Megasiemens[mS], Mho[mS] are the few other units in which Transconductance using Collector Current can be measured.

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