Threshold Voltage Formula

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Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals. Check FAQs
Vt=Vgc-(QchCg)
Vt - Threshold Voltage?Vgc - Gate to Channel Voltage?Qch - Channel Charge?Cg - Gate Capacitance?

Threshold Voltage Example

With values
With units
Only example

Here is how the Threshold Voltage equation looks like with Values.

Here is how the Threshold Voltage equation looks like with Units.

Here is how the Threshold Voltage equation looks like.

0.3007Edit=7.011Edit-(0.4Edit59.61Edit)
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Threshold Voltage Solution

Follow our step by step solution on how to calculate Threshold Voltage?

FIRST Step Consider the formula
Vt=Vgc-(QchCg)
Next Step Substitute values of Variables
Vt=7.011V-(0.4mC59.61μF)
Next Step Convert Units
Vt=7.011V-(0.0004C6E-5F)
Next Step Prepare to Evaluate
Vt=7.011-(0.00046E-5)
Next Step Evaluate
Vt=0.300716490521724V
LAST Step Rounding Answer
Vt=0.3007V

Threshold Voltage Formula Elements

Variables
Threshold Voltage
Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.
Symbol: Vt
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Gate to Channel Voltage
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.
Symbol: Vgc
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Channel Charge
Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field.
Symbol: Qch
Measurement: Electric ChargeUnit: mC
Note: Value can be positive or negative.
Gate Capacitance
Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor.
Symbol: Cg
Measurement: CapacitanceUnit: μF
Note: Value should be greater than 0.

Other formulas in VLSI Material Optimization category

​Go Body Effect Coefficient
γ=modu̲s(Vt-Vt0Φs+(Vsb)-Φs)
​Go Channel Charge
Qch=Cg(Vgc-Vt)
​Go Critical Voltage
Vx=ExEch
​Go DIBL Coefficient
η=Vt0-VtVds

How to Evaluate Threshold Voltage?

Threshold Voltage evaluator uses Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance) to evaluate 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 evaluate Threshold Voltage using this online evaluator? To use this online evaluator for Threshold Voltage, enter Gate to Channel Voltage (Vgc), Channel Charge (Qch) & Gate Capacitance (Cg) and hit the calculate button.

FAQs on Threshold Voltage

What is the formula to find Threshold Voltage?
The formula of Threshold Voltage is expressed as Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance). Here is an example- 0.299716 = 7.011-(0.0004/5.961E-05).
How to calculate Threshold Voltage?
With Gate to Channel Voltage (Vgc), Channel Charge (Qch) & Gate Capacitance (Cg) we can find Threshold Voltage using the formula - Threshold Voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance).
Can the Threshold Voltage be negative?
No, the Threshold Voltage, measured in Electric Potential cannot be negative.
Which unit is used to measure Threshold Voltage?
Threshold Voltage is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Threshold Voltage can be measured.
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