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Junction Capacitance Formula

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Junction capacitance is defined as the capacitance which forms in a PN junction diode under reverse bias. Check FAQs

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

C_j - Junction Capacitance?A_j - Junction Area?k - Constant Length Offset?N_B - Doping Concentration of Base?V - Source Voltage?V₁ - Source Voltage 1?[Charge-e] - Charge of electron?

Junction Capacitance Example

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Here is how the Junction Capacitance equation looks like with Values.

Here is how the Junction Capacitance equation looks like with Units.

Here is how the Junction Capacitance equation looks like.

0.023 = (\frac{5401.3}{2}) \cdot \sqrt{\frac{2 \cdot 1.6E-19 \cdot 1.59 \cdot 1E+28}{120 - 50}}

0.023μF = (\frac{5401.3µm²}{2}) \cdot \sqrt{\frac{2 \cdot 1.6E-19C \cdot 1.59μm \cdot 1E+281/m³}{120V - 50V}}

0.023 = (\frac{5401.3}{2}) \cdot \sqrt{\frac{2 \cdot 1.6E-19 \cdot 1.59 \cdot 1E+28}{120 - 50}}

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Junction Capacitance Solution

Follow our step by step solution on how to calculate Junction Capacitance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C j = (\frac{5401.3µm²}{2}) \cdot \sqrt{\frac{2 \cdot [Charge-e] \cdot 1.59μm \cdot 1E+281/m³}{120V - 50V}}

Next Step Substitute values of Constants

∴

C j = (\frac{5401.3µm²}{2}) \cdot \sqrt{\frac{2 \cdot 1.6E-19C \cdot 1.59μm \cdot 1E+281/m³}{120V - 50V}}

Next Step Convert Units

∴

C j = (\frac{5.4E-9m²}{2}) \cdot \sqrt{\frac{2 \cdot 1.6E-19C \cdot 1.6E-6m \cdot 1E+281/m³}{120V - 50V}}

Next Step Prepare to Evaluate

∴

C j = (\frac{5.4E-9}{2}) \cdot \sqrt{\frac{2 \cdot 1.6E-19 \cdot 1.6E-6 \cdot 1E+28}{120 - 50}}

Next Step Evaluate

∴

C j = 2.30402951890085E-08F

Next Step Convert to Output's Unit

∴

C j = 0.0230402951890085μF

LAST Step Rounding Answer

∴

C j = 0.023μF

Junction Capacitance Formula Elements

Variables

Constants

Functions

Junction Capacitance

Junction capacitance is defined as the capacitance which forms in a PN junction diode under reverse bias.

Symbol: C_j

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Junction Capacitance

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

Constant Length Offset

Constant Length Offset refers to a fixed or constant adjustment that is added to or subtracted from a measured or specified length.

Symbol: k

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Constant Length Offset

Doping Concentration of Base

The Doping concentration of Base is the number of impurities added to the base.

Symbol: N_B

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Doping Concentration of Base

Source Voltage

Source Voltage is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Source Voltage

Source Voltage 1

Source Voltage 1 is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Source Voltage 1

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)

Other formulas in SSD Junction category

Go N-Type Width

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

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)

Go Series Resistance in N-type

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

How to Evaluate Junction Capacitance?

Junction Capacitance evaluator uses Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1)) to evaluate the Junction Capacitance, The Junction Capacitance formula is defined as the capacitance which forms in a PN junction diode under reverse bias. In a normal capacitor, the two parallel conducting plates are electrodes which allow the conduction. Junction Capacitance is denoted by C_j symbol.

How to evaluate Junction Capacitance using this online evaluator? To use this online evaluator for Junction Capacitance, enter Junction Area (A_j), Constant Length Offset (k), Doping Concentration of Base (N_B), Source Voltage (V) & Source Voltage 1 (V₁) and hit the calculate button.

FAQs on Junction Capacitance

What is the formula to find Junction Capacitance?

The formula of Junction Capacitance is expressed as Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1)). Here is an example- 23040.3 = (5.4013E-09/2)*sqrt((2*[Charge-e]*1.59E-06*1E+28)/(120-50)).

How to calculate Junction Capacitance?

With Junction Area (A_j), Constant Length Offset (k), Doping Concentration of Base (N_B), Source Voltage (V) & Source Voltage 1 (V₁) we can find Junction Capacitance using the formula - Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1)). This formula also uses Charge of electron constant(s) and Square Root (sqrt) function(s).

Can the Junction Capacitance be negative?

No, the Junction Capacitance, measured in Capacitance cannot be negative.

Which unit is used to measure Junction Capacitance?

Junction Capacitance is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Junction Capacitance can be measured.

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Junction Capacitance Formula

Junction Capacitance Example

Junction Capacitance Solution

Junction Capacitance Formula Elements

Other formulas in SSD Junction category

How to Evaluate Junction Capacitance?

FAQs on Junction Capacitance

Variable Name