Time Delay when NMOS Operates in Linear Region Formula

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Linear Region in Time Delay is defined as the delay that arises from charging and discharging of capacitors connected to the NMOS during switching events. Check FAQs
tdelay=-2Cj(1kn(2(Vi-VT)x-x2),x,V1,V2)
tdelay - Linear Region in Time Delay?Cj - Junction Capacitance?kn - Transconductance Process Parameter?Vi - Input Voltage?VT - Threshold Voltage?V1 - Initial Voltage?V2 - Final Voltage?

Time Delay when NMOS Operates in Linear Region Example

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With units
Only example

Here is how the Time Delay when NMOS Operates in Linear Region equation looks like with Values.

Here is how the Time Delay when NMOS Operates in Linear Region equation looks like with Units.

Here is how the Time Delay when NMOS Operates in Linear Region equation looks like.

706.5205Edit=-295009Edit(14.553Edit(2(2.25Edit-5.91Edit)x-x2),x,5.42Edit,6.135Edit)
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Time Delay when NMOS Operates in Linear Region Solution

Follow our step by step solution on how to calculate Time Delay when NMOS Operates in Linear Region?

FIRST Step Consider the formula
tdelay=-2Cj(1kn(2(Vi-VT)x-x2),x,V1,V2)
Next Step Substitute values of Variables
tdelay=-295009F(14.553A/V²(2(2.25V-5.91V)x-x2),x,5.42nV,6.135nV)
Next Step Convert Units
tdelay=-295009F(14.553A/V²(2(2.25V-5.91V)x-x2),x,5.4E-9V,6.1E-9V)
Next Step Prepare to Evaluate
tdelay=-295009(14.553(2(2.25-5.91)x-x2),x,5.4E-9,6.1E-9)
Next Step Evaluate
tdelay=706.520454377221s
LAST Step Rounding Answer
tdelay=706.5205s

Time Delay when NMOS Operates in Linear Region Formula Elements

Variables
Functions
Linear Region in Time Delay
Linear Region in Time Delay is defined as the delay that arises from charging and discharging of capacitors connected to the NMOS during switching events.
Symbol: tdelay
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Junction Capacitance
Junction Capacitance refers to the capacitance arising from the depletion region between the source/drain terminals and the substrate.
Symbol: Cj
Measurement: CapacitanceUnit: F
Note: Value can be positive or negative.
Transconductance Process Parameter
Transconductance Process Parameter is a device-specific constant that characterizes the transistor's ability to convert a change in gate voltage to a change in output current.
Symbol: kn
Measurement: Transconductance ParameterUnit: A/V²
Note: Value can be positive or negative.
Input Voltage
Input Voltage is the electrical potential difference applied to the input terminals of a component or system.
Symbol: Vi
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Threshold Voltage
Threshold Voltage is the minimum gate-to-source voltage required in a MOSFET to turn it "on" and allow a significant current to flow.
Symbol: VT
Measurement: Electric PotentialUnit: V
Note: Value can be positive or negative.
Initial Voltage
Initial Voltage refer to the voltage present at a specific point in a circuit at the beginning of a certain operation or under specific conditions.
Symbol: V1
Measurement: Electric PotentialUnit: nV
Note: Value should be greater than 0.
Final Voltage
Final Voltage refers to the voltage level achieved or measured at the conclusion of a particular process or event.
Symbol: V2
Measurement: Electric PotentialUnit: nV
Note: Value should be greater than 0.
int
The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.
Syntax: int(expr, arg, from, to)

Other formulas in MOS Transistor category

​Go Zero Bias Sidewall Junction Capacitance per Unit Length
Cjsw=Cj0swxj
​Go Equivalent Large Signal Junction Capacitance
Ceq(sw)=PCjswKeq(sw)

How to Evaluate Time Delay when NMOS Operates in Linear Region?

Time Delay when NMOS Operates in Linear Region evaluator uses Linear Region in Time Delay = -2*Junction Capacitance*int(1/(Transconductance Process Parameter*(2*(Input Voltage-Threshold Voltage)*x-x^2)),x,Initial Voltage,Final Voltage) to evaluate the Linear Region in Time Delay, The Time Delay when NMOS Operates in Linear Region formula is defined as the delay that arises from charging and discharging of capacitors connected to the NMOS during switching events. Linear Region in Time Delay is denoted by tdelay symbol.

How to evaluate Time Delay when NMOS Operates in Linear Region using this online evaluator? To use this online evaluator for Time Delay when NMOS Operates in Linear Region, enter Junction Capacitance (Cj), Transconductance Process Parameter (kn), Input Voltage (Vi), Threshold Voltage (VT), Initial Voltage (V1) & Final Voltage (V2) and hit the calculate button.

FAQs on Time Delay when NMOS Operates in Linear Region

What is the formula to find Time Delay when NMOS Operates in Linear Region?
The formula of Time Delay when NMOS Operates in Linear Region is expressed as Linear Region in Time Delay = -2*Junction Capacitance*int(1/(Transconductance Process Parameter*(2*(Input Voltage-Threshold Voltage)*x-x^2)),x,Initial Voltage,Final Voltage). Here is an example- 706.5205 = -2*95009*int(1/(4.553*(2*(2.25-5.91)*x-x^2)),x,5.42E-09,6.135E-09).
How to calculate Time Delay when NMOS Operates in Linear Region?
With Junction Capacitance (Cj), Transconductance Process Parameter (kn), Input Voltage (Vi), Threshold Voltage (VT), Initial Voltage (V1) & Final Voltage (V2) we can find Time Delay when NMOS Operates in Linear Region using the formula - Linear Region in Time Delay = -2*Junction Capacitance*int(1/(Transconductance Process Parameter*(2*(Input Voltage-Threshold Voltage)*x-x^2)),x,Initial Voltage,Final Voltage). This formula also uses Definite Integral (int) function(s).
Can the Time Delay when NMOS Operates in Linear Region be negative?
No, the Time Delay when NMOS Operates in Linear Region, measured in Time cannot be negative.
Which unit is used to measure Time Delay when NMOS Operates in Linear Region?
Time Delay when NMOS Operates in Linear Region is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Delay when NMOS Operates in Linear Region can be measured.
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