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Drain Current given Device Parameter Formula

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Drain Current below threshold voltage is defined as the subthreshold current and varies exponentially with gate to source voltage. Check FAQs

I d = \frac{1}{2} \cdot G m \cdot WL \cdot {(V ov - V th)}^{2} \cdot (1 + V A \cdot V DS)

I_d - Drain Current?G_m - Transconductance?WL - Aspect Ratio?V_ov - Effective Voltage?V_th - Threshold Voltage?V_A - Device Parameter?V_DS - Voltage between Drain and Source?

Drain Current given Device Parameter Example

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Here is how the Drain Current given Device Parameter equation looks like with Values.

Here is how the Drain Current given Device Parameter equation looks like with Units.

Here is how the Drain Current given Device Parameter equation looks like.

3366.1289 = \frac{1}{2} \cdot 1.72 \cdot 8.75 \cdot {(25 - 5.5)}^{2} \cdot (1 + 0.024 \cdot 7.35)

3366.1289mA = \frac{1}{2} \cdot 1.72mS \cdot 8.75 \cdot {(25V - 5.5V)}^{2} \cdot (1 + 0.024 \cdot 7.35V)

3366.1289 = \frac{1}{2} \cdot 1.72 \cdot 8.75 \cdot {(25 - 5.5)}^{2} \cdot (1 + 0.024 \cdot 7.35)

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Drain Current given Device Parameter Solution

Follow our step by step solution on how to calculate Drain Current given Device Parameter?

FIRST Step Consider the formula

I d = \frac{1}{2} \cdot G m \cdot WL \cdot {(V ov - V th)}^{2} \cdot (1 + V A \cdot V DS)

Next Step Substitute values of Variables

∴

I d = \frac{1}{2} \cdot 1.72mS \cdot 8.75 \cdot {(25V - 5.5V)}^{2} \cdot (1 + 0.024 \cdot 7.35V)

Next Step Convert Units

∴

I d = \frac{1}{2} \cdot 0.0017S \cdot 8.75 \cdot {(25V - 5.5V)}^{2} \cdot (1 + 0.024 \cdot 7.35V)

Next Step Prepare to Evaluate

∴

I d = \frac{1}{2} \cdot 0.0017 \cdot 8.75 \cdot {(25 - 5.5)}^{2} \cdot (1 + 0.024 \cdot 7.35)

Next Step Evaluate

∴

I d = 3.3661289025A

Next Step Convert to Output's Unit

∴

I d = 3366.1289025mA

LAST Step Rounding Answer

∴

I d = 3366.1289mA

Drain Current given Device Parameter Formula Elements

Variables

Drain Current

Drain Current below threshold voltage is defined as the subthreshold current and varies exponentially with gate to source voltage.

Symbol: I_d

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Drain Current

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

Aspect Ratio

Aspect Ratio is the ratio of the width of the channel to the length of the channel.

Symbol: WL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Aspect Ratio

Effective Voltage

Effective voltage or overdrive voltage is excess of voltage across oxide over thermal voltage is termed.

Symbol: V_ov

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Effective Voltage

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

Device Parameter

device parameter is the parameter used in calculation related to BJT.

Symbol: V_A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Device Parameter

Voltage between Drain and Source

The voltage between drain and source is applied positive voltage between drain and source, having induced a channel.

Symbol: V_DS

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage between Drain and Source

Other formulas in Base Current category

Go Base Current 1 of BJT

I B = \frac{I c}{β}

Go Base Current 2 of BJT

I B = (\frac{I sat}{β}) \cdot (e^{\frac{V BE}{V t}})

How to Evaluate Drain Current given Device Parameter?

Drain Current given Device Parameter evaluator uses Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source) to evaluate the Drain Current, The Drain Current given Device Parameter is when the MOSFET is used to design an amplifier, it is operated in the saturation region. In saturation the drain current is constantly determined by V_GS (or V _OV ) and is independent of V_DS. That is, the MOSFET operates as a constant-current source where the value of the current is determined by V_GS. In effect, then, the MOSFET operates as a voltage-controlled current source. Drain Current is denoted by I_d symbol.

How to evaluate Drain Current given Device Parameter using this online evaluator? To use this online evaluator for Drain Current given Device Parameter, enter Transconductance (G_m), Aspect Ratio (WL), Effective Voltage (V_ov), Threshold Voltage (V_th), Device Parameter (V_A) & Voltage between Drain and Source (V_DS) and hit the calculate button.

FAQs on Drain Current given Device Parameter

What is the formula to find Drain Current given Device Parameter?

The formula of Drain Current given Device Parameter is expressed as Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source). Here is an example- 3.4E+6 = 1/2*0.00172*8.75*(25-5.5)^2*(1+0.024*7.35).

How to calculate Drain Current given Device Parameter?

With Transconductance (G_m), Aspect Ratio (WL), Effective Voltage (V_ov), Threshold Voltage (V_th), Device Parameter (V_A) & Voltage between Drain and Source (V_DS) we can find Drain Current given Device Parameter using the formula - Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source).

Can the Drain Current given Device Parameter be negative?

Yes, the Drain Current given Device Parameter, measured in Electric Current can be negative.

Which unit is used to measure Drain Current given Device Parameter?

Drain Current given Device Parameter 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 Device Parameter can be measured.

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Drain Current given Device Parameter Formula

Drain Current given Device Parameter Example

Drain Current given Device Parameter Solution

Drain Current given Device Parameter Formula Elements

Other formulas in Base Current category

How to Evaluate Drain Current given Device Parameter?

FAQs on Drain Current given Device Parameter

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