Drain Current given Device Parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source)
Id = 1/2*Gm*WL*(Vov-Vth)^2*(1+VA*VDS)
This formula uses 7 Variables
Variables Used
Drain Current - (Measured in Ampere) - Drain Current below threshold voltage is defined as the subthreshold current and varies exponentially with gate to source voltage.
Transconductance - (Measured in Siemens) - 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.
Aspect Ratio - Aspect Ratio is the ratio of the width of the channel to the length of the channel.
Effective Voltage - (Measured in Volt) - Effective voltage or overdrive voltage is excess of voltage across oxide over thermal voltage is termed.
Threshold Voltage - (Measured in Volt) - 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.
Device Parameter - device parameter is the parameter used in calculation related to BJT.
Voltage between Drain and Source - (Measured in Volt) - The voltage between drain and source is applied positive voltage between drain and source, having induced a channel.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion ​here)
Aspect Ratio: 8.75 --> No Conversion Required
Effective Voltage: 25 Volt --> 25 Volt No Conversion Required
Threshold Voltage: 5.5 Volt --> 5.5 Volt No Conversion Required
Device Parameter: 0.024 --> No Conversion Required
Voltage between Drain and Source: 7.35 Volt --> 7.35 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Id = 1/2*Gm*WL*(Vov-Vth)^2*(1+VA*VDS) --> 1/2*0.00172*8.75*(25-5.5)^2*(1+0.024*7.35)
Evaluating ... ...
Id = 3.3661289025
STEP 3: Convert Result to Output's Unit
3.3661289025 Ampere -->3366.1289025 Milliampere (Check conversion ​here)
FINAL ANSWER
3366.1289025 3366.129 Milliampere <-- Drain Current
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Base Current Calculators

Base Current using Saturation Current in DC
​ LaTeX ​ Go Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage)
Drain Current given Device Parameter
​ LaTeX ​ Go Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source)
Base Current 2 of BJT
​ LaTeX ​ Go Base Current = (Saturation Current/Common Emitter Current Gain)*(e^(Base-Emitter Voltage/Thermal Voltage))
Base Current 1 of BJT
​ LaTeX ​ Go Base Current = Collector Current/Common Emitter Current Gain

Drain Current given Device Parameter Formula

​LaTeX ​Go
Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source)
Id = 1/2*Gm*WL*(Vov-Vth)^2*(1+VA*VDS)

What is drain current in MOSFET?

The drain current below threshold voltage is defined as the subthreshold current and varies exponentially with Vgs. The reciprocal of the slope of the log(Ids) vs. Vgs characteristic is defined as the subthreshold slope, S, and is one of the most critical performance metrics for MOSFETs in logic applications.

How to Calculate Drain Current given Device Parameter?

Drain Current given Device Parameter calculator uses Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source) to calculate 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 VGS (or V OV ) and is independent of VDS. That is, the MOSFET operates as a constant-current source where the value of the current is determined by VGS. In effect, then, the MOSFET operates as a voltage-controlled current source. Drain Current is denoted by Id symbol.

How to calculate Drain Current given Device Parameter using this online calculator? To use this online calculator for Drain Current given Device Parameter, enter Transconductance (Gm), Aspect Ratio (WL), Effective Voltage (Vov), Threshold Voltage (Vth), Device Parameter (VA) & Voltage between Drain and Source (VDS) and hit the calculate button. Here is how the Drain Current given Device Parameter calculation can be explained with given input values -> 3.4E+6 = 1/2*0.00172*8.75*(25-5.5)^2*(1+0.024*7.35).

FAQ

What is Drain Current given Device Parameter?
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 VGS (or V OV ) and is independent of VDS. That is, the MOSFET operates as a constant-current source where the value of the current is determined by VGS. In effect, then, the MOSFET operates as a voltage-controlled current source and is represented as Id = 1/2*Gm*WL*(Vov-Vth)^2*(1+VA*VDS) or Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source). 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, Aspect Ratio is the ratio of the width of the channel to the length of the channel, Effective voltage or overdrive voltage is excess of voltage across oxide over thermal voltage is termed, 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, device parameter is the parameter used in calculation related to BJT & The voltage between drain and source is applied positive voltage between drain and source, having induced a channel.
How to calculate Drain Current given Device Parameter?
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 VGS (or V OV ) and is independent of VDS. That is, the MOSFET operates as a constant-current source where the value of the current is determined by VGS. In effect, then, the MOSFET operates as a voltage-controlled current source is calculated using Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source). To calculate Drain Current given Device Parameter, you need Transconductance (Gm), Aspect Ratio (WL), Effective Voltage (Vov), Threshold Voltage (Vth), Device Parameter (VA) & Voltage between Drain and Source (VDS). With our tool, you need to enter the respective value for Transconductance, Aspect Ratio, Effective Voltage, Threshold Voltage, Device Parameter & Voltage between Drain and Source and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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