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Switching Point Voltage Formula

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Switching Point Voltage refers to the gate-source voltage (Vgs) at which the MOSFET transitions from its off-state to its on-state or vice versa. Check FAQs

V s = \frac{V dd + V tp + V tn \cdot \sqrt{\frac{β n}{β p}}}{1 + \sqrt{\frac{β n}{β p}}}

V_s - Switching Point Voltage?V_dd - Supply Voltage?V_tp - PMOS Threshold Voltage?V_tn - NMOS Threshold Voltage?β_n - NMOS Transistor Gain?β_p - PMOS Transistor Gain?

Switching Point Voltage Example

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Here is how the Switching Point Voltage equation looks like with Values.

Here is how the Switching Point Voltage equation looks like with Units.

Here is how the Switching Point Voltage equation looks like.

19.1594 = \frac{6.3 + 3.14 + 25 \cdot \sqrt{\frac{18}{6.5}}}{1 + \sqrt{\frac{18}{6.5}}}

19.1594V = \frac{6.3V + 3.14V + 25V \cdot \sqrt{\frac{18}{6.5}}}{1 + \sqrt{\frac{18}{6.5}}}

19.1594 = \frac{6.3 + 3.14 + 25 \cdot \sqrt{\frac{18}{6.5}}}{1 + \sqrt{\frac{18}{6.5}}}

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Switching Point Voltage Solution

Follow our step by step solution on how to calculate Switching Point Voltage?

FIRST Step Consider the formula

V s = \frac{V dd + V tp + V tn \cdot \sqrt{\frac{β n}{β p}}}{1 + \sqrt{\frac{β n}{β p}}}

Next Step Substitute values of Variables

∴

V s = \frac{6.3V + 3.14V + 25V \cdot \sqrt{\frac{18}{6.5}}}{1 + \sqrt{\frac{18}{6.5}}}

Next Step Prepare to Evaluate

∴

V s = \frac{6.3 + 3.14 + 25 \cdot \sqrt{\frac{18}{6.5}}}{1 + \sqrt{\frac{18}{6.5}}}

Next Step Evaluate

∴

V s = 19.1593796922905V

LAST Step Rounding Answer

∴

V s = 19.1594V

Switching Point Voltage Formula Elements

Variables

Functions

Switching Point Voltage

Switching Point Voltage refers to the gate-source voltage (Vgs) at which the MOSFET transitions from its off-state to its on-state or vice versa.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Switching Point Voltage

Supply Voltage

Supply Voltage refers to the voltage level provided to power an electronic circuit or device.

Symbol: V_dd

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

PMOS Threshold Voltage

PMOS Threshold Voltage is a critical parameter that defines the voltage level at which the transistor begins to conduct current.

Symbol: V_tp

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find PMOS Threshold Voltage

NMOS Threshold Voltage

NMOS Threshold Voltage is a critical parameter that determines the gate-source voltage at which the transistor begins to conduct current.

Symbol: V_tn

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find NMOS Threshold Voltage

NMOS Transistor Gain

NMOS Transistor Gain is a measure of how much the output current changes in response to a small change in the input voltage.

Symbol: β_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find NMOS Transistor Gain

PMOS Transistor Gain

PMOS Transistor Gain is a measure of how much the output current changes in response to a small change in the input voltage.

Symbol: β_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find PMOS Transistor Gain

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in MOS IC Fabrication category

Go Body Effect in MOSFET

V t = V th + γ \cdot (\sqrt{2 \cdot Φ f + V bs} - \sqrt{2 \cdot Φ f})

Go MOSFET Unity-Gain Frequency

f t = \frac{g m}{C gs + C gd}

Go Drain Current of MOSFET at Saturation Region

I d = \frac{β}{2} \cdot {(V gs - V th)}^{2} \cdot (1 + λ i \cdot V ds)

Go Channel Resistance

R ch = \frac{L t}{W t} \cdot \frac{1}{μ n \cdot Q on}

How to Evaluate Switching Point Voltage?

Switching Point Voltage evaluator uses Switching Point Voltage = (Supply Voltage+PMOS Threshold Voltage+NMOS Threshold Voltage*sqrt(NMOS Transistor Gain/PMOS Transistor Gain))/(1+sqrt(NMOS Transistor Gain/PMOS Transistor Gain)) to evaluate the Switching Point Voltage, The Switching Point Voltage refers to the threshold voltage (Vth) of a MOSFET (Metal-Oxide-Semiconductor Field-Effect Transistor). The threshold voltage is a crucial parameter that determines the operational characteristics of the transistor, particularly in switching applications. Switching Point Voltage is denoted by V_s symbol.

How to evaluate Switching Point Voltage using this online evaluator? To use this online evaluator for Switching Point Voltage, enter Supply Voltage (V_dd), PMOS Threshold Voltage (V_tp), NMOS Threshold Voltage (V_tn), NMOS Transistor Gain (β_n) & PMOS Transistor Gain (β_p) and hit the calculate button.

FAQs on Switching Point Voltage

What is the formula to find Switching Point Voltage?

The formula of Switching Point Voltage is expressed as Switching Point Voltage = (Supply Voltage+PMOS Threshold Voltage+NMOS Threshold Voltage*sqrt(NMOS Transistor Gain/PMOS Transistor Gain))/(1+sqrt(NMOS Transistor Gain/PMOS Transistor Gain)). Here is an example- 19.15938 = (6.3+3.14+25*sqrt(18/6.5))/(1+sqrt(18/6.5)).

How to calculate Switching Point Voltage?

With Supply Voltage (V_dd), PMOS Threshold Voltage (V_tp), NMOS Threshold Voltage (V_tn), NMOS Transistor Gain (β_n) & PMOS Transistor Gain (β_p) we can find Switching Point Voltage using the formula - Switching Point Voltage = (Supply Voltage+PMOS Threshold Voltage+NMOS Threshold Voltage*sqrt(NMOS Transistor Gain/PMOS Transistor Gain))/(1+sqrt(NMOS Transistor Gain/PMOS Transistor Gain)). This formula also uses Square Root (sqrt) function(s).

Can the Switching Point Voltage be negative?

No, the Switching Point Voltage, measured in Electric Potential cannot be negative.

Which unit is used to measure Switching Point Voltage?

Switching Point Voltage is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Switching Point Voltage can be measured.

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Switching Point Voltage Formula

Switching Point Voltage Example

Switching Point Voltage Solution

Switching Point Voltage Formula Elements

Other formulas in MOS IC Fabrication category

How to Evaluate Switching Point Voltage?

FAQs on Switching Point Voltage

Variable Name