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 - 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., 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: 18 --> 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(18/6.5))/(1+sqrt(18/6.5))
Evaluating ... ...
Vs = 19.1593796922905
STEP 3: Convert Result to Output's Unit
19.1593796922905 Volt --> No Conversion Required
FINAL ANSWER
19.1593796922905 19.15938 Volt <-- Switching Point Voltage
(Calculation completed in 00.004 seconds)

Credits

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Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
banuprakash has created this Calculator and 50+ more calculators!
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Verified by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
Santhosh Yadav has verified this Calculator and 50+ more calculators!

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Body Effect in MOSFET
​ LaTeX ​ Go Threshold Voltage with Substrate = Threshold Voltage with Zero Body Bias+Body Effect Parameter*(sqrt(2*Bulk Fermi Potential+Voltage Applied to Body)-sqrt(2*Bulk Fermi Potential))
Drain Current of MOSFET at Saturation Region
​ LaTeX ​ Go Drain Current = Transconductance Parameter/2*(Gate Source Voltage-Threshold Voltage with Zero Body Bias)^2*(1+Channel Length Modulation Factor*Drain Source Voltage)
Channel Resistance
​ LaTeX ​ Go Channel Resistance = Transistor's Length/Transistor's Width*1/(Electron Mobility*Carrier Density)
MOSFET Unity-Gain Frequency
​ LaTeX ​ Go Unity Gain Frequency in MOSFET = Transconductance in MOSFET/(Gate Source Capacitance+Gate Drain Capacitance)

Switching Point Voltage Formula

​LaTeX ​Go
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 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 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 -> 19.15938 = (6.3+3.14+25*sqrt(18/6.5))/(1+sqrt(18/6.5)).

FAQ

What is 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 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 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 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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