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Drain Current given process transconductance and transconductance Formula

GoDrain Current using Transconductance Formula

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Drain current is the current that flows between the drain and the source terminals of a field-effect transistor (FET), which is a type of transistor commonly used in electronic circuits. Check FAQs

i d = \frac{{g m}^{2}}{2 \cdot WL \cdot k' n}

i_d - Drain Current?g_m - Transconductance?WL - Aspect Ratio?k'_n - Process Transconductance Parameter?

Drain Current given process transconductance and transconductance Example

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Here is how the Drain Current given process transconductance and transconductance equation looks like with Values.

Here is how the Drain Current given process transconductance and transconductance equation looks like with Units.

Here is how the Drain Current given process transconductance and transconductance equation looks like.

0.0833 = \frac{{0.5}^{2}}{2 \cdot 0.1 \cdot 0.015}

0.0833mA = \frac{{0.5mS}^{2}}{2 \cdot 0.1 \cdot 0.015A/V²}

0.0833 = \frac{{0.5}^{2}}{2 \cdot 0.1 \cdot 0.015}

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Drain Current given process transconductance and transconductance Solution

Follow our step by step solution on how to calculate Drain Current given process transconductance and transconductance?

FIRST Step Consider the formula

i d = \frac{{g m}^{2}}{2 \cdot WL \cdot k' n}

Next Step Substitute values of Variables

∴

i d = \frac{{0.5mS}^{2}}{2 \cdot 0.1 \cdot 0.015A/V²}

Next Step Convert Units

∴

i d = \frac{{0.0005S}^{2}}{2 \cdot 0.1 \cdot 0.015A/V²}

Next Step Prepare to Evaluate

∴

i d = \frac{{0.0005}^{2}}{2 \cdot 0.1 \cdot 0.015}

Next Step Evaluate

∴

i d = 8.33333333333333E-05A

Next Step Convert to Output's Unit

∴

i d = 0.0833333333333333mA

LAST Step Rounding Answer

∴

i d = 0.0833mA

Drain Current given process transconductance and transconductance Formula Elements

Variables

Drain Current

Drain current is the current that flows between the drain and the source terminals of a field-effect transistor (FET), which is a type of transistor commonly used in electronic circuits.

Symbol: i_d

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Drain Current

Transconductance

Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Aspect Ratio

Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor.

Symbol: WL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Aspect Ratio

Process Transconductance Parameter

The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.

Symbol: k'_n

Measurement: Transconductance ParameterUnit: A/V²

Note: Value can be positive or negative.

Formulas to find Process Transconductance Parameter

Other Formulas to find Drain Current

Go Drain Current using Transconductance

i d = (V ov) \cdot \frac{g m}{2}

Other formulas in Transconductance category

Go Transconductance given Drain Current

g m = \sqrt{2 \cdot k' n \cdot WL \cdot i d}

Go Transconductance given Process Transconductance Parameter

g m = k' n \cdot WL \cdot (V gs - V th)

Go Transconductance using Process Transconductance Parameter and Overdrive Voltage

g m = k' n \cdot WL \cdot V ov

Go Process Transconductance given Transconductance and Drain Current

k' n = \frac{{g m}^{2}}{2 \cdot WL \cdot i d}

How to Evaluate Drain Current given process transconductance and transconductance?

Drain Current given process transconductance and transconductance evaluator uses Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter) to evaluate the Drain Current, Drain Current given process transconductance and transconductance is the drain current which depends on transconductance, aspect ratio and process transconductance. Drain Current is denoted by i_d symbol.

How to evaluate Drain Current given process transconductance and transconductance using this online evaluator? To use this online evaluator for Drain Current given process transconductance and transconductance, enter Transconductance (g_m), Aspect Ratio (WL) & Process Transconductance Parameter (k'_n) and hit the calculate button.

FAQs on Drain Current given process transconductance and transconductance

What is the formula to find Drain Current given process transconductance and transconductance?

The formula of Drain Current given process transconductance and transconductance is expressed as Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter). Here is an example- 83.33333 = 0.0005^2/(2*0.1*0.015).

How to calculate Drain Current given process transconductance and transconductance?

With Transconductance (g_m), Aspect Ratio (WL) & Process Transconductance Parameter (k'_n) we can find Drain Current given process transconductance and transconductance using the formula - Drain Current = Transconductance^2/(2*Aspect Ratio*Process Transconductance Parameter).

What are the other ways to Calculate Drain Current?

Here are the different ways to Calculate Drain Current-

Drain Current=(Overdrive Voltage)*Transconductance/2

Can the Drain Current given process transconductance and transconductance be negative?

No, the Drain Current given process transconductance and transconductance, measured in Electric Current cannot be negative.

Which unit is used to measure Drain Current given process transconductance and transconductance?

Drain Current given process transconductance and transconductance is usually measured using the Milliampere[mA] for Electric Current. Ampere[mA], Microampere[mA], Centiampere[mA] are the few other units in which Drain Current given process transconductance and transconductance can be measured.

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Drain Current given process transconductance and transconductance Formula

​GoDrain Current using Transconductance Formula

Drain Current given process transconductance and transconductance Example

Drain Current given process transconductance and transconductance Solution

Drain Current given process transconductance and transconductance Formula Elements

Other Formulas to find Drain Current

Other formulas in Transconductance category

How to Evaluate Drain Current given process transconductance and transconductance?

FAQs on Drain Current given process transconductance and transconductance

Variable Name

GoDrain Current using Transconductance Formula