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))
Cj = (Aj/2)*sqrt((2*[Charge-e]*k*NB)/(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
Cj = (Aj/2)*sqrt((2*[Charge-e]*k*NB)/(V-V1)) --> (5.4013E-09/2)*sqrt((2*[Charge-e]*1.59E-06*1E+28)/(120-50))
Evaluating ... ...
Cj = 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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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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SSD Junction Calculators

Junction Capacitance
​ LaTeX ​ Go Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1))
Series Resistance in P-type
​ LaTeX ​ Go Series Resistance in P Junction = ((Source Voltage-Junction Voltage)/Electric Current)-Series Resistance in N Junction
Junction Voltage
​ LaTeX ​ Go Junction Voltage = Source Voltage-(Series Resistance in P Junction+Series Resistance in N Junction)*Electric Current
N-Type Width
​ LaTeX ​ Go Charge Penetration N-type = Total Acceptor Charge/(Junction Area*Acceptor Concentration*[Charge-e])

Junction Capacitance Formula

​LaTeX ​Go
Junction Capacitance = (Junction Area/2)*sqrt((2*[Charge-e]*Constant Length Offset*Doping Concentration of Base)/(Source Voltage-Source Voltage 1))
Cj = (Aj/2)*sqrt((2*[Charge-e]*k*NB)/(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 Cj symbol.

How to calculate Junction Capacitance using this online calculator? To use this online calculator for Junction Capacitance, enter Junction Area (Aj), Constant Length Offset (k), Doping Concentration of Base (NB), 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 Cj = (Aj/2)*sqrt((2*[Charge-e]*k*NB)/(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 (Aj), Constant Length Offset (k), Doping Concentration of Base (NB), 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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