Zero Bias Junction Voltage Calculator

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✖Thermal Voltage is the voltage produced within the p-n junction.ⓘ Thermal Voltage [V_t]			+10% -10%
✖Impurity Concentration in Solid is the amount of impurity present.ⓘ Impurity Concentration in Solid [Cs]			+10% -10%
✖Intrinsic Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material.ⓘ Intrinsic Concentration [ni]			+10% -10%

✖Zero bias junction voltage is created by diffusion process, built in potential with an open circuit that is zero bias potential.ⓘ Zero Bias Junction Voltage [ζ]

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Zero Bias Junction Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Zero Bias Junction Voltage = Thermal Voltage*ln(Impurity Concentration in Solid/Intrinsic Concentration^2)
ζ = V_t*ln(Cs/ni^2)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Zero Bias Junction Voltage - (Measured in Volt) - Zero bias junction voltage is created by diffusion process, built in potential with an open circuit that is zero bias potential.
Thermal Voltage - (Measured in Volt) - Thermal Voltage is the voltage produced within the p-n junction.
Impurity Concentration in Solid - Impurity Concentration in Solid is the amount of impurity present.
Intrinsic Concentration - Intrinsic Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material.

STEP 1: Convert Input(s) to Base Unit

Thermal Voltage: 25.85 Volt --> 25.85 Volt No Conversion Required
Impurity Concentration in Solid: 6 --> No Conversion Required
Intrinsic Concentration: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = V_t*ln(Cs/ni^2) --> 25.85*ln(6/9^2)

Evaluating ... ...

ζ = -67.2795283687373

STEP 3: Convert Result to Output's Unit

-67.2795283687373 Volt --> No Conversion Required

FINAL ANSWER

-67.2795283687373 ≈ -67.279528 Volt <-- Zero Bias Junction Voltage

(Calculation completed in 00.004 seconds)

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Zero Bias Junction Voltage Formula

LaTeX Go

Zero Bias Junction Voltage = Thermal Voltage*ln(Impurity Concentration in Solid/Intrinsic Concentration^2)
ζ = V_t*ln(Cs/ni^2)

Zero bias voltage in pn junction semiconductor

In a p-n junction, with no an external applied voltage, an equilibrium condition is arrived at in which a potential variation is formed across the junction. This potential difference is termed as built-in potential voltage.

Semi conductors p and n type working

Joining p-type and n-type semiconductors, electrons that are near the p-n interface tend to diffuse into the p region. As electrons diffuse, they depart positively charged ions (donors) in the n region. Likewise, holes near the p-n interface start to diffuse into the n-type region leaving fixed ions (acceptors) along with negative charge. The regions near the p-n interfaces lose their neutrality and become charged, creating the space charge region or depletion layer.

How to Calculate Zero Bias Junction Voltage?

Zero Bias Junction Voltage calculator uses Zero Bias Junction Voltage = Thermal Voltage*ln(Impurity Concentration in Solid/Intrinsic Concentration^2) to calculate the Zero Bias Junction Voltage, The Zero bias junction voltage has impurities added to p-type and n-type semiconductor materials are not uniform then at one region large number of charge carriers are present while at another region small number of charge carriers are present. Due to this non uniform doping charge carriers at high concentration region repel from each other and move towards the low concentration region to achieve uniform concentration all over the material. Zero Bias Junction Voltage is denoted by ζ symbol.

How to calculate Zero Bias Junction Voltage using this online calculator? To use this online calculator for Zero Bias Junction Voltage, enter Thermal Voltage (V_t), Impurity Concentration in Solid (Cs) & Intrinsic Concentration (ni) and hit the calculate button. Here is how the Zero Bias Junction Voltage calculation can be explained with given input values -> -67.279528 = 25.85*ln(6/9^2).

FAQ

What is Zero Bias Junction Voltage?

The Zero bias junction voltage has impurities added to p-type and n-type semiconductor materials are not uniform then at one region large number of charge carriers are present while at another region small number of charge carriers are present. Due to this non uniform doping charge carriers at high concentration region repel from each other and move towards the low concentration region to achieve uniform concentration all over the material and is represented as ζ = V_t*ln(Cs/ni^2) or Zero Bias Junction Voltage = Thermal Voltage*ln(Impurity Concentration in Solid/Intrinsic Concentration^2). Thermal Voltage is the voltage produced within the p-n junction, Impurity Concentration in Solid is the amount of impurity present & Intrinsic Concentration is the number of electrons in the conduction band or the number of holes in the valence band in intrinsic material.

How to calculate Zero Bias Junction Voltage?

The Zero bias junction voltage has impurities added to p-type and n-type semiconductor materials are not uniform then at one region large number of charge carriers are present while at another region small number of charge carriers are present. Due to this non uniform doping charge carriers at high concentration region repel from each other and move towards the low concentration region to achieve uniform concentration all over the material is calculated using Zero Bias Junction Voltage = Thermal Voltage*ln(Impurity Concentration in Solid/Intrinsic Concentration^2). To calculate Zero Bias Junction Voltage, you need Thermal Voltage (V_t), Impurity Concentration in Solid (Cs) & Intrinsic Concentration (ni). With our tool, you need to enter the respective value for Thermal Voltage, Impurity Concentration in Solid & Intrinsic Concentration 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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