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Saturation Time Formula

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Saturation Time is the time it takes for a MOSFET's output voltage to reach a specified level (V_out,fd) in the saturation region, after receiving an input signal. Check FAQs

T sat = - 2 \cdot \frac{C load}{k n \cdot {(V OH - V T)}^{2}} \cdot \int (1, x, V OH, V OH - V T)

T_sat - Saturation Time?C_load - Load Capacitance?k_n - Transconductance Process Parameter?V_OH - High Output Voltage?V_T - Threshold Voltage?

Saturation Time Example

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Here is how the Saturation Time equation looks like with Values.

Here is how the Saturation Time equation looks like with Units.

Here is how the Saturation Time equation looks like.

5.6381 = - 2 \cdot \frac{9.77}{4.553 \cdot {(3.789 - 5.91)}^{2}} \cdot \int (1, x, 3.789, 3.789 - 5.91)

5.6381s = - 2 \cdot \frac{9.77F}{4.553A/V² \cdot {(3.789V - 5.91V)}^{2}} \cdot \int (1, x, 3.789V, 3.789V - 5.91V)

5.6381 = - 2 \cdot \frac{9.77}{4.553 \cdot {(3.789 - 5.91)}^{2}} \cdot \int (1, x, 3.789, 3.789 - 5.91)

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Saturation Time Solution

Follow our step by step solution on how to calculate Saturation Time?

FIRST Step Consider the formula

T sat = - 2 \cdot \frac{C load}{k n \cdot {(V OH - V T)}^{2}} \cdot \int (1, x, V OH, V OH - V T)

Next Step Substitute values of Variables

∴

T sat = - 2 \cdot \frac{9.77F}{4.553A/V² \cdot {(3.789V - 5.91V)}^{2}} \cdot \int (1, x, 3.789V, 3.789V - 5.91V)

Next Step Prepare to Evaluate

∴

T sat = - 2 \cdot \frac{9.77}{4.553 \cdot {(3.789 - 5.91)}^{2}} \cdot \int (1, x, 3.789, 3.789 - 5.91)

Next Step Evaluate

∴

T sat = 5.63810361511811s

LAST Step Rounding Answer

∴

T sat = 5.6381s

Saturation Time Formula Elements

Variables

Functions

Saturation Time

Saturation Time is the time it takes for a MOSFET's output voltage to reach a specified level (V_out,fd) in the saturation region, after receiving an input signal.

Symbol: T_sat

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Saturation Time

Load Capacitance

Load Capacitance is the total capacitance connected to the transistor's output terminal, including external components and the MOSFET's own parasitic capacitance.

Symbol: C_load

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Load Capacitance

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: k_n

Measurement: Transconductance ParameterUnit: A/V²

Note: Value can be positive or negative.

Formulas to find Transconductance Process Parameter

High Output Voltage

High Output Voltage is the maximum voltage level the transistor can reach at its output terminal when fully turned on (operating in saturation).

Symbol: V_OH

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find High Output Voltage

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: V_T

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Threshold Voltage

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

C jsw = C j0sw \cdot x j

Go Equivalent Large Signal Junction Capacitance

C eq(sw) = P \cdot C jsw \cdot K eq(sw)

Go Fermi Potential for P Type

Φ Fp = \frac{[BoltZ] \cdot T a}{[Charge-e]} \cdot \ln (\frac{n i}{N A})

Go Sidewall Voltage Equivalence Factor

K eq(sw) = - (2 \cdot \frac{\sqrt{Φ osw}}{V 2 - V 1} \cdot (\sqrt{Φ osw - V 2} - \sqrt{Φ osw - V 1}))

How to Evaluate Saturation Time?

Saturation Time evaluator uses Saturation Time = -2*Load Capacitance/(Transconductance Process Parameter*(High Output Voltage-Threshold Voltage)^2)*int(1,x,High Output Voltage,High Output Voltage-Threshold Voltage) to evaluate the Saturation Time, The Saturation Time formula is defined as the time it takes for a MOSFET's output voltage to reach a specified level (V_out,fd) in the saturation region, after receiving an input signal. Saturation Time is denoted by T_sat symbol.

How to evaluate Saturation Time using this online evaluator? To use this online evaluator for Saturation Time, enter Load Capacitance (C_load), Transconductance Process Parameter (k_n), High Output Voltage (V_OH) & Threshold Voltage (V_T) and hit the calculate button.

FAQs on Saturation Time

What is the formula to find Saturation Time?

The formula of Saturation Time is expressed as Saturation Time = -2*Load Capacitance/(Transconductance Process Parameter*(High Output Voltage-Threshold Voltage)^2)*int(1,x,High Output Voltage,High Output Voltage-Threshold Voltage). Here is an example- 5.638104 = -2*9.77/(4.553*(3.789-5.91)^2)*int(1,x,3.789,3.789-5.91).

How to calculate Saturation Time?

With Load Capacitance (C_load), Transconductance Process Parameter (k_n), High Output Voltage (V_OH) & Threshold Voltage (V_T) we can find Saturation Time using the formula - Saturation Time = -2*Load Capacitance/(Transconductance Process Parameter*(High Output Voltage-Threshold Voltage)^2)*int(1,x,High Output Voltage,High Output Voltage-Threshold Voltage). This formula also uses Definite Integral (int) function(s).

Can the Saturation Time be negative?

Yes, the Saturation Time, measured in Time can be negative.

Which unit is used to measure Saturation Time?

Saturation Time is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Saturation Time can be measured.

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Saturation Time Formula

Saturation Time Example

Saturation Time Solution

Saturation Time Formula Elements

Other formulas in MOS Transistor category

How to Evaluate Saturation Time?

FAQs on Saturation Time

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