Threshold Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)
Vt = Vgc-(Qch/Cg)
This formula uses 4 Variables
Variables Used
Threshold Voltage - (Measured in Volt) - Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.
Gate to Channel Voltage - (Measured in Volt) - Gate to Channel Voltage is defined as the drain-source on-state resistance is larger than rated value when gate voltage is around threshold voltage.
Channel Charge - (Measured in Coulomb) - Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field.
Gate Capacitance - (Measured in Farad) - Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor.
STEP 1: Convert Input(s) to Base Unit
Gate to Channel Voltage: 7.011 Volt --> 7.011 Volt No Conversion Required
Channel Charge: 0.4 Millicoulomb --> 0.0004 Coulomb (Check conversion ​here)
Gate Capacitance: 59.61 Microfarad --> 5.961E-05 Farad (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vt = Vgc-(Qch/Cg) --> 7.011-(0.0004/5.961E-05)
Evaluating ... ...
Vt = 0.300716490521724
STEP 3: Convert Result to Output's Unit
0.300716490521724 Volt --> No Conversion Required
FINAL ANSWER
0.300716490521724 0.300716 Volt <-- Threshold Voltage
(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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VLSI Material Optimization Calculators

Body Effect Coefficient
​ LaTeX ​ Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))
DIBL Coefficient
​ LaTeX ​ Go DIBL Coefficient = (Threshold Voltage DIBL-Threshold Voltage)/Drain to Source Potential
Channel Charge
​ LaTeX ​ Go Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)
Critical Voltage
​ LaTeX ​ Go Critical Voltage = Critical Electric Field*Electric Field Across Channel Length

Threshold Voltage Formula

​LaTeX ​Go
Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)
Vt = Vgc-(Qch/Cg)

What is long channel model?

Long channel model refers to an approximation used for analyzing and designing electronic devices with relatively large channel lengths, typically in the micrometer range. This model simplifies device behavior by neglecting short-channel effects, making it suitable for initial design and understanding of the basic transistor characteristics in VLSI circuits.

How to Calculate Threshold Voltage?

Threshold Voltage calculator uses Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance) to calculate the Threshold Voltage, The Threshold Voltage formula is defined as the minimum gate-to-source voltage VGS (th) that is needed to create a conducting path between the source and drain terminals. It is an important scaling factor to maintain power efficiency. Threshold Voltage is denoted by Vt symbol.

How to calculate Threshold Voltage using this online calculator? To use this online calculator for Threshold Voltage, enter Gate to Channel Voltage (Vgc), Channel Charge (Qch) & Gate Capacitance (Cg) and hit the calculate button. Here is how the Threshold Voltage calculation can be explained with given input values -> 0.299716 = 7.011-(0.0004/5.961E-05).

FAQ

What is Threshold Voltage?
The Threshold Voltage formula is defined as the minimum gate-to-source voltage VGS (th) that is needed to create a conducting path between the source and drain terminals. It is an important scaling factor to maintain power efficiency and is represented as Vt = Vgc-(Qch/Cg) or Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance). Gate to Channel Voltage is defined as the drain-source on-state resistance is larger than rated value when gate voltage is around threshold voltage, Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field & Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor.
How to calculate Threshold Voltage?
The Threshold Voltage formula is defined as the minimum gate-to-source voltage VGS (th) that is needed to create a conducting path between the source and drain terminals. It is an important scaling factor to maintain power efficiency is calculated using Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance). To calculate Threshold Voltage, you need Gate to Channel Voltage (Vgc), Channel Charge (Qch) & Gate Capacitance (Cg). With our tool, you need to enter the respective value for Gate to Channel Voltage, Channel Charge & Gate Capacitance 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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