## Switching Point Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Vs = (VDD+Vtp+Vtn*sqrt(βn/βp))/(1+sqrt(βn/βp))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Switching Point Voltage - (Measured in Volt) - 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.
Supply Voltage - (Measured in Volt) - Supply Voltage refers to the voltage level provided to power an electronic circuit or device.
PMOS Threshold Voltage - (Measured in Volt) - PMOS Threshold Voltage is a critical parameter that defines the voltage level at which the transistor begins to conduct current.
NMOS Threshold Voltage - (Measured in Volt) - NMOS Threshold Voltage is a critical parameter that determines the gate-source voltage at which the transistor begins to conduct current.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 6.3 Volt --> 6.3 Volt No Conversion Required
PMOS Threshold Voltage: 3.14 Volt --> 3.14 Volt No Conversion Required
NMOS Threshold Voltage: 25 Volt --> 25 Volt No Conversion Required
NMOS Transistor Gain: 8 --> No Conversion Required
PMOS Transistor Gain: 6.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = (VDD+Vtp+Vtn*sqrt(βnp))/(1+sqrt(βnp)) --> (6.3+3.14+25*sqrt(8/6.5))/(1+sqrt(8/6.5))
Evaluating ... ...
Vs = 17.6234962050404
STEP 3: Convert Result to Output's Unit
17.6234962050404 Volt --> No Conversion Required
17.6234962050404 17.6235 Volt <-- Switching Point Voltage
(Calculation completed in 00.019 seconds)
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## Credits

Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
banuprakash has created this Calculator and 50+ more calculators!
Dayananda Sagar College Of Engineering (DSCE), Banglore
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## < 15 MOS IC Fabrication Calculators

Switching Point Voltage
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))
Drain Current of MOSFET at Saturation Region
Drain Current = 0.5*Electron Mobility*Oxide Capacitance*Transistor's Width*(Gate Source Voltage-Threshold Voltage with Zero Body Bias)^2*(1+Channel Length Modulation Factor*Drain Source Voltage)/Transistor's Length
Body Effect in MOSFET
Threshold Voltage = Threshold Voltage with Zero Body Bias+Body Effect Parameter*(sqrt(2*Bulk Fermi Potential+Voltage Applied to the Body)-sqrt(2*Bulk Fermi Potential))
Donor Dopant Concentration
Donor Dopant Concentration = (Saturation Current*Transistor's Length)/([Charge-e]*Transistor's Width*Electron Mobility*Depletion Layer Capacitance per Unit Area)
Channel Resistance
Channel Resistance = Transistor's Length*(Gate Source Voltage-Threshold Voltage with Zero Body Bias)^2/(Electron Mobility*Oxide Capacitance*Transistor's Width*2)
Acceptor Dopant Concentration
Acceptor Dopant Concentration = 1/(2*pi*Transistor's Length*Transistor's Width*[Charge-e]*Hole Mobility*Depletion Layer Capacitance per Unit Area)
Maximum Dopant Concentration
Maximum Dopant Concentration = Reference Concentration*exp(-Activation Energy for Solid Solubility/([BoltZ]*Absolute Temperature))
Propagation Time
Propagation Time = 0.7*Number of Pass Transistors*(Number of Pass Transistors+1)/2*Resistance in MOSFET*Load Capaacitance
Drift Current Density due to Free Electrons
Drift Current Density due to electrons = [Charge-e]*Electron Concentration*Electron Mobility*Electric Field Intensity
MOSFET Unity-Gain Frequency
Unity Gain Frequency in MOSFET = 1/(2*pi)*MOSFET Transconductance/(Gate Source Capacitance+Gate Drain Capacitance)
Drift Current Density due to Holes
Drift Current Density due to holes = [Charge-e]*Hole Concentration*Hole Mobility*Electric Field Intensity
Critical Dimension
Critical Dimension = Process Dependent Constant*Wavelength of Light/Numerical Aperture
Depth of Focus
Depth of Focus = Proportionality Factor*Wavelength of Light/(Numerical Aperture^2)
Equivalent Oxide Thickness
Equivalent Oxide Thickness = Thickness of the Material*(3.9/Dielectric Constant of Material)
Die Per Wafer
Die Per Wafer = (pi*Wafer Diameter^2)/(4*Size of Each Die)

## Switching Point Voltage 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))
Vs = (VDD+Vtp+Vtn*sqrt(βn/βp))/(1+sqrt(βn/βp))

## Why is the switching point voltage important?

The switching point voltage is crucial because it determines when the MOSFET turns on and off. It influences the timing and efficiency of electronic circuits that use MOSFETs for switching applications.

## How to Calculate Switching Point Voltage?

Switching Point Voltage calculator 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 calculate the Switching Point Voltage, The Switching Point Voltage formula is defined as refers to the gate-source voltage (Vgs) at which the MOSFET transitions from its off-state to its on-state or vice versa. Switching Point Voltage is denoted by Vs symbol.

How to calculate Switching Point Voltage using this online calculator? To use this online calculator for Switching Point Voltage, enter Supply Voltage (VDD), PMOS Threshold Voltage (Vtp), NMOS Threshold Voltage (Vtn), NMOS Transistor Gain n) & PMOS Transistor Gain p) and hit the calculate button. Here is how the Switching Point Voltage calculation can be explained with given input values -> 17.6235 = (6.3+3.14+25*sqrt(8/6.5))/(1+sqrt(8/6.5)).

### FAQ

What is Switching Point Voltage?
The Switching Point Voltage formula is defined as refers to the gate-source voltage (Vgs) at which the MOSFET transitions from its off-state to its on-state or vice versa and is represented as Vs = (VDD+Vtp+Vtn*sqrt(βnp))/(1+sqrt(βnp)) or 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)). Supply Voltage refers to the voltage level provided to power an electronic circuit or device, PMOS Threshold Voltage is a critical parameter that defines the voltage level at which the transistor begins to conduct current, NMOS Threshold Voltage is a critical parameter that determines the gate-source voltage at which the transistor begins to conduct current, NMOS Transistor Gain is a measure of how much the output current changes in response to a small change in the input voltage & PMOS Transistor Gain is a measure of how much the output current changes in response to a small change in the input voltage.
How to calculate Switching Point Voltage?
The Switching Point Voltage formula is defined as refers to the gate-source voltage (Vgs) at which the MOSFET transitions from its off-state to its on-state or vice versa is calculated using 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 calculate Switching Point Voltage, you need Supply Voltage (VDD), PMOS Threshold Voltage (Vtp), NMOS Threshold Voltage (Vtn), NMOS Transistor Gain n) & PMOS Transistor Gain p). With our tool, you need to enter the respective value for Supply Voltage, PMOS Threshold Voltage, NMOS Threshold Voltage, NMOS Transistor Gain & PMOS Transistor Gain 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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