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Width of Depletion Zone Formula

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Width of Depletion Region is a region in a semiconductor device where there are no free charge carriers. Check FAQs

x depl = \sqrt{(\frac{[Permitivity-silicon] \cdot 2}{[Charge-e] \cdot N d}) \cdot (V i - V g)}

x_depl - Width of Depletion Region?N_d - Doping Density?V_i - Schottky Potential Barrier?V_g - Gate Voltage?[Permitivity-silicon] - Permittivity of silicon?[Charge-e] - Charge of electron?

Width of Depletion Zone Example

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Here is how the Width of Depletion Zone equation looks like with Values.

Here is how the Width of Depletion Zone equation looks like with Units.

Here is how the Width of Depletion Zone equation looks like.

0.0002 = \sqrt{(\frac{11.7 \cdot 2}{1.6E-19 \cdot 9E+22}) \cdot (15.9 - 0.25)}

0.0002m = \sqrt{(\frac{11.7 \cdot 2}{1.6E-19C \cdot 9E+221/cm³}) \cdot (15.9V - 0.25V)}

0.0002 = \sqrt{(\frac{11.7 \cdot 2}{1.6E-19 \cdot 9E+22}) \cdot (15.9 - 0.25)}

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Width of Depletion Zone Solution

Follow our step by step solution on how to calculate Width of Depletion Zone?

FIRST Step Consider the formula

x depl = \sqrt{(\frac{[Permitivity-silicon] \cdot 2}{[Charge-e] \cdot N d}) \cdot (V i - V g)}

Next Step Substitute values of Variables

∴

x depl = \sqrt{(\frac{[Permitivity-silicon] \cdot 2}{[Charge-e] \cdot 9E+221/cm³}) \cdot (15.9V - 0.25V)}

Next Step Substitute values of Constants

∴

x depl = \sqrt{(\frac{11.7 \cdot 2}{1.6E-19C \cdot 9E+221/cm³}) \cdot (15.9V - 0.25V)}

Next Step Convert Units

∴

x depl = \sqrt{(\frac{11.7 \cdot 2}{1.6E-19C \cdot 9E+281/m³}) \cdot (15.9V - 0.25V)}

Next Step Prepare to Evaluate

∴

x depl = \sqrt{(\frac{11.7 \cdot 2}{1.6E-19 \cdot 9E+28}) \cdot (15.9 - 0.25)}

Next Step Evaluate

∴

x depl = 0.000159363423174517m

LAST Step Rounding Answer

∴

x depl = 0.0002m

Width of Depletion Zone Formula Elements

Variables

Constants

Functions

Width of Depletion Region

Width of Depletion Region is a region in a semiconductor device where there are no free charge carriers.

Symbol: x_depl

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Depletion Region

Doping Density

Doping Density refers to the concentration of dopant atoms in a semiconductor material. Dopants are impurity atoms that are intentionally introduced into the semiconductor.

Symbol: N_d

Measurement: Carrier ConcentrationUnit: 1/cm³

Note: Value should be greater than 0.

Formulas to find Doping Density

Schottky Potential Barrier

Schottky Potential Barrier acts as a barrier for electrons, and the height of the barrier depends on the work function difference between the two materials.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Schottky Potential Barrier

Gate Voltage

Gate Voltage is the voltage developed at the gate source junction of a JFET transistor.

Symbol: V_g

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Gate Voltage

Permittivity of silicon

Permittivity of silicon measures its ability to store electrical energy in an electric field, vital in semiconductor technology.

Symbol: [Permitivity-silicon]

Value: 11.7

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

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)

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How to Evaluate Width of Depletion Zone?

Width of Depletion Zone evaluator uses Width of Depletion Region = sqrt((([Permitivity-silicon]*2)/([Charge-e]*Doping Density))*(Schottky Potential Barrier-Gate Voltage)) to evaluate the Width of Depletion Region, The Width of Depletion Zone formula is defined as a region in a semiconductor device where there are no free charge carriers. It depends on the doping levels of the semiconductor material, the gate voltage, and the physical dimensions of the device. Width of Depletion Region is denoted by x_depl symbol.

How to evaluate Width of Depletion Zone using this online evaluator? To use this online evaluator for Width of Depletion Zone, enter Doping Density (N_d), Schottky Potential Barrier (V_i) & Gate Voltage (V_g) and hit the calculate button.

FAQs on Width of Depletion Zone

What is the formula to find Width of Depletion Zone?

The formula of Width of Depletion Zone is expressed as Width of Depletion Region = sqrt((([Permitivity-silicon]*2)/([Charge-e]*Doping Density))*(Schottky Potential Barrier-Gate Voltage)). Here is an example- 0.000159 = sqrt((([Permitivity-silicon]*2)/([Charge-e]*9E+28))*(15.9-0.25)).

How to calculate Width of Depletion Zone?

With Doping Density (N_d), Schottky Potential Barrier (V_i) & Gate Voltage (V_g) we can find Width of Depletion Zone using the formula - Width of Depletion Region = sqrt((([Permitivity-silicon]*2)/([Charge-e]*Doping Density))*(Schottky Potential Barrier-Gate Voltage)). This formula also uses Permittivity of silicon, Charge of electron constant(s) and Square Root (sqrt) function(s).

Can the Width of Depletion Zone be negative?

No, the Width of Depletion Zone, measured in Length cannot be negative.

Which unit is used to measure Width of Depletion Zone?

Width of Depletion Zone is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Depletion Zone can be measured.

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Width of Depletion Zone Formula

Width of Depletion Zone Example

Width of Depletion Zone Solution

Width of Depletion Zone Formula Elements

Other formulas in Klystron category

How to Evaluate Width of Depletion Zone?

FAQs on Width of Depletion Zone

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