Junction Capacitance Calculator

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✖The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.ⓘ Junction Area [A_j]			+10% -10%
✖Constant Length Offset refers to a fixed or constant adjustment that is added to or subtracted from a measured or specified length.ⓘ Constant Length Offset [k]			+10% -10%
✖The Doping concentration of Base is the number of impurities added to the base.ⓘ Doping Concentration of Base [N_B]			+10% -10%
✖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.ⓘ Source Voltage [V]			+10% -10%
✖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.ⓘ Source Voltage 1 [V₁]			+10% -10%

✖Junction capacitance is defined as the capacitance which forms in a PN junction diode under reverse bias.ⓘ Junction Capacitance [C_j]

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Formula

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Junction Capacitance

Formula

`"C"_{"j"} = ("A"_{"j"}/2)*sqrt((2*"[Charge-e]"*"k"*"N"_{"B"})/("V"-"V"_{"1"}))`

Example

`"0.02304μF"=("5401.3µm²"/2)*sqrt((2*"[Charge-e]"*"1.59μm"*"1e28/m³")/("120V"-"50V"))`

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Junction Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1))
C_j = (A_j/2)*sqrt((2*[Charge-e]*k*N_B)/(V-V₁))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19

Functions Used

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., sqrt(Number)

Variables Used

Junction Capacitance - (Measured in Farad) - Junction capacitance is defined as the capacitance which forms in a PN junction diode under reverse bias.
Junction Area - (Measured in Square Meter) - The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.
Constant Length Offset - (Measured in Meter) - Constant Length Offset refers to a fixed or constant adjustment that is added to or subtracted from a measured or specified length.
Doping Concentration of Base - (Measured in 1 per Cubic Meter) - The Doping concentration of Base is the number of impurities added to the base.
Source Voltage - (Measured in Volt) - 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.
Source Voltage 1 - (Measured in Volt) - 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.

STEP 1: Convert Input(s) to Base Unit

Junction Area: 5401.3 Square Micrometer --> 5.4013E-09 Square Meter (Check conversion here)
Constant Length Offset: 1.59 Micrometer --> 1.59E-06 Meter (Check conversion here)
Doping Concentration of Base: 1E+28 1 per Cubic Meter --> 1E+28 1 per Cubic Meter No Conversion Required
Source Voltage: 120 Volt --> 120 Volt No Conversion Required
Source Voltage 1: 50 Volt --> 50 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_j = (A_j/2)*sqrt((2*[Charge-e]*k*N_B)/(V-V₁)) --> (5.4013E-09/2)*sqrt((2*[Charge-e]*1.59E-06*1E+28)/(120-50))

Evaluating ... ...

C_j = 2.30402951890085E-08

STEP 3: Convert Result to Output's Unit

2.30402951890085E-08 Farad -->0.0230402951890085 Microfarad (Check conversion here)

FINAL ANSWER

0.0230402951890085 ≈ 0.02304 Microfarad <-- Junction Capacitance

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 16 SSD Junction Calculators

Junction Capacitance

Go Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1))

Length of P-Side Junction

Go Length of P-Side Junction = (Optical Current/([Charge-e]*Junction Area*Optical Generation Rate))-(Junction Transition Width+Diffusion Length of Transition Region)

Junction Transition Width

Go Junction Transition Width = Charge Penetration N-type*((Acceptor Concentration+Donor Concentration)/Acceptor Concentration)

Series Resistance in P-type

Go Series Resistance in P Junction = ((Source Voltage-Junction Voltage)/Electric Current)-Series Resistance in N Junction

Series Resistance in N-type

Go Series Resistance in N Junction = ((Source Voltage-Junction Voltage)/Electric Current)-Series Resistance in P Junction

Junction Voltage

Go Junction Voltage = Source Voltage-(Series Resistance in P Junction+Series Resistance in N Junction)*Electric Current

Cross-Sectional Area of Junction

Go Junction Area = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Acceptor Concentration)

Acceptor Concentration

Go Acceptor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration N-type*Junction Area)

N-Type Width

Go Charge Penetration N-type = Total Acceptor Charge/(Junction Area*Acceptor Concentration*[Charge-e])

Total Acceptor Charge

Go Total Acceptor Charge = [Charge-e]*Charge Penetration N-type*Junction Area*Acceptor Concentration

Donor Concentration

Go Donor Concentration = Total Acceptor Charge/([Charge-e]*Charge Penetration P-type*Junction Area)

Absorption Coefficient

Go Absorption Coefficient = (-1/Sample Thickness)*ln(Absorbed Power/Incident Power)

Absorbed Power

Go Absorbed Power = Incident Power*exp(-Sample Thickness*Absorption Coefficient)

Net Distribution of Charge

Go Net Distribution = (Donor Concentration-Acceptor Concentration)/Graded Constant

P-N Junction Length

Go Junction Length = Constant Length Offset+Effective Channel Length

Quantum Number

Go Quantum Number = [Coulomb]*Potential Well Length/3.14

Junction Capacitance Formula

Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1))
C_j = (A_j/2)*sqrt((2*[Charge-e]*k*N_B)/(V-V₁))

What is junction capacitance how it varies with bias?

A diode can have two different capacitances namely Junction capacitance and diffusion capacitance. Junction Capacitance: It is dominant when the diode is reverse biased and is the result of the charge stored in the Depletion layer.

How to Calculate Junction Capacitance?

Junction Capacitance calculator uses Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1)) to calculate 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 calculate Junction Capacitance using this online calculator? To use this online calculator 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. Here is how the Junction Capacitance calculation can be explained with given input values -> 23040.3 = (5.4013E-09/2)*sqrt((2*[Charge-e]*1.59E-06*1E+28)/(120-50)).

FAQ

What is 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 and is represented as C_j = (A_j/2)*sqrt((2*[Charge-e]*k*N_B)/(V-V₁)) or Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1)). The Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode, Constant Length Offset refers to a fixed or constant adjustment that is added to or subtracted from a measured or specified length, The Doping concentration of Base is the number of impurities added to the base, 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 & 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.

How to calculate 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 is calculated using Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1)). To calculate Junction Capacitance, you need Junction Area (A_j), Constant Length Offset (k), Doping Concentration of Base (N_B), Source Voltage (V) & Source Voltage 1 (V₁). With our tool, you need to enter the respective value for Junction Area, Constant Length Offset, Doping Concentration of Base, Source Voltage & Source Voltage 1 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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