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Cross-Sectional Area of Junction Formula

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The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode. Check FAQs

A j = \frac{|Q|}{[Charge-e] \cdot x no \cdot N a}

A_j - Junction Area?|Q| - Total Acceptor Charge?x_no - Charge Penetration N-type?N_a - Acceptor Concentration?[Charge-e] - Charge of electron?

Cross-Sectional Area of Junction Example

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Here is how the Cross-Sectional Area of Junction equation looks like with Values.

Here is how the Cross-Sectional Area of Junction equation looks like with Units.

Here is how the Cross-Sectional Area of Junction equation looks like.

5405.7041 = \frac{13}{1.6E-19 \cdot 0.019 \cdot 7.9E+35}

5405.7041µm² = \frac{13C}{1.6E-19C \cdot 0.019μm \cdot 7.9E+351/m³}

5405.7041 = \frac{13}{1.6E-19 \cdot 0.019 \cdot 7.9E+35}

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Cross-Sectional Area of Junction Solution

Follow our step by step solution on how to calculate Cross-Sectional Area of Junction?

FIRST Step Consider the formula

A j = \frac{|Q|}{[Charge-e] \cdot x no \cdot N a}

Next Step Substitute values of Variables

∴

A j = \frac{13C}{[Charge-e] \cdot 0.019μm \cdot 7.9E+351/m³}

Next Step Substitute values of Constants

∴

A j = \frac{13C}{1.6E-19C \cdot 0.019μm \cdot 7.9E+351/m³}

Next Step Convert Units

∴

A j = \frac{13C}{1.6E-19C \cdot 1.9E-8m \cdot 7.9E+351/m³}

Next Step Prepare to Evaluate

∴

A j = \frac{13}{1.6E-19 \cdot 1.9E-8 \cdot 7.9E+35}

Next Step Evaluate

∴

A j = 5.40570410906043E-09m²

Next Step Convert to Output's Unit

∴

A j = 5405.70410906043µm²

LAST Step Rounding Answer

∴

A j = 5405.7041µm²

Cross-Sectional Area of Junction Formula Elements

Variables

Constants

Junction Area

The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.

Symbol: A_j

Measurement: AreaUnit: µm²

Note: Value should be greater than 0.

Formulas to find Junction Area

Total Acceptor Charge

Total Acceptor Charge refers to the overall net charge associated with the acceptor atoms in a semiconductor material or device.

Symbol: |Q|

Measurement: Electric ChargeUnit: C

Note: Value should be greater than 0.

Formulas to find Total Acceptor Charge

Charge Penetration N-type

Charge Penetration N-type refers to the phenomenon where additional electrons from dopant atoms, typically phosphorus or arsenic, penetrate the crystal lattice of the semiconductor material.

Symbol: x_no

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Charge Penetration N-type

Acceptor Concentration

Acceptor concentration is the concentration an acceptor or dopant atom that when substituted into a semiconductor lattice forms a p-type region.

Symbol: N_a

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Acceptor Concentration

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

Other formulas in SSD Junction category

Go N-Type Width

x no = \frac{|Q|}{A j \cdot N a \cdot [Charge-e]}

Go Junction Capacitance

C j = (\frac{A j}{2}) \cdot \sqrt{\frac{2 \cdot [Charge-e] \cdot k \cdot N B}{V - V 1}}

Go Junction Voltage

V j = V - (R se(p) + R se(n)) \cdot I

Go Series Resistance in P-type

R se(p) = (\frac{V - V j}{I}) - R se(n)

How to Evaluate Cross-Sectional Area of Junction?

Cross-Sectional Area of Junction evaluator uses Junction Area = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Acceptor Concentration) to evaluate the Junction Area, The Cross-Sectional Area of Junction formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point. Junction Area is denoted by A_j symbol.

How to evaluate Cross-Sectional Area of Junction using this online evaluator? To use this online evaluator for Cross-Sectional Area of Junction, enter Total Acceptor Charge (|Q|), Charge Penetration N-type (x_no) & Acceptor Concentration (N_a) and hit the calculate button.

FAQs on Cross-Sectional Area of Junction

What is the formula to find Cross-Sectional Area of Junction?

The formula of Cross-Sectional Area of Junction is expressed as Junction Area = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Acceptor Concentration). Here is an example- 5.4E+15 = 13/([Charge-e]*1.9E-08*7.9E+35).

How to calculate Cross-Sectional Area of Junction?

With Total Acceptor Charge (|Q|), Charge Penetration N-type (x_no) & Acceptor Concentration (N_a) we can find Cross-Sectional Area of Junction using the formula - Junction Area = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Acceptor Concentration). This formula also uses Charge of electron constant(s).

Can the Cross-Sectional Area of Junction be negative?

No, the Cross-Sectional Area of Junction, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area of Junction?

Cross-Sectional Area of Junction is usually measured using the Square Micrometer[µm²] for Area. Square Meter[µm²], Square Kilometer[µm²], Square Centimeter[µm²] are the few other units in which Cross-Sectional Area of Junction can be measured.

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Cross-Sectional Area of Junction Formula

Cross-Sectional Area of Junction Example

Cross-Sectional Area of Junction Solution

Cross-Sectional Area of Junction Formula Elements

Other formulas in SSD Junction category

How to Evaluate Cross-Sectional Area of Junction?

FAQs on Cross-Sectional Area of Junction

Variable Name