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Short-Circuit Transconductance 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 o}{V in}

G_m - Transconductance?I_o - Output Current?V_in - Input Voltage?

Short-Circuit Transconductance Example

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With units

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Here is how the Short-Circuit Transconductance equation looks like with Values.

Here is how the Short-Circuit Transconductance equation looks like with Units.

Here is how the Short-Circuit Transconductance equation looks like.

1.72 = \frac{4.3}{2.5}

1.72mS = \frac{4.3mA}{2.5V}

1.72 = \frac{4.3}{2.5}

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Short-Circuit Transconductance Solution

Follow our step by step solution on how to calculate Short-Circuit Transconductance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G m = \frac{4.3mA}{2.5V}

Next Step Convert Units

∴

G m = \frac{0.0043A}{2.5V}

Next Step Prepare to Evaluate

∴

G m = \frac{0.0043}{2.5}

Next Step Evaluate

∴

G m = 0.00172S

LAST Step Convert to Output's Unit

∴

G m = 1.72mS

Short-Circuit Transconductance 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

Output Current

The Output Current of the amplifier is defined as the maximum current that can be supplied to the load.

Symbol: I_o

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Output Current

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

Other formulas in Transconductance category

Go Common-Base Current Gain

α = \frac{β}{β + 1}

Go Intrinsic Gain of BJT

A o = \frac{V A}{V t}

Go Total Power Dissipated in BJT

P = V CE \cdot I c + V BE \cdot I B

Go Common Mode Rejection Ratio

CMRR = 20 \cdot \log 10 (\frac{A d}{A cm})

How to Evaluate Short-Circuit Transconductance?

Short-Circuit Transconductance evaluator uses Transconductance = Output Current/Input Voltage to evaluate the Transconductance, The Short-Circuit Transconductance of a circuit is the measure of its strength in converting an input voltage signal into an output voltage signal. Transconductance is denoted by G_m symbol.

How to evaluate Short-Circuit Transconductance using this online evaluator? To use this online evaluator for Short-Circuit Transconductance, enter Output Current (I_o) & Input Voltage (V_in) and hit the calculate button.

FAQs on Short-Circuit Transconductance

What is the formula to find Short-Circuit Transconductance?

The formula of Short-Circuit Transconductance is expressed as Transconductance = Output Current/Input Voltage. Here is an example- 1720 = 0.0043/2.5.

How to calculate Short-Circuit Transconductance?

With Output Current (I_o) & Input Voltage (V_in) we can find Short-Circuit Transconductance using the formula - Transconductance = Output Current/Input Voltage.

Can the Short-Circuit Transconductance be negative?

Yes, the Short-Circuit Transconductance, measured in Electric Conductance can be negative.

Which unit is used to measure Short-Circuit Transconductance?

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

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