HCF of three numbers

Surface Potential Calculator

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✖Source Body Potential Difference is calculated when an externally applied potential is equal to the sum of voltage drop across the oxide layer and the voltage drop across the semiconductor.ⓘ Source Body Potential Difference [V_sb]			+10% -10%
✖Acceptor Concentration refers to the concentration of acceptor dopant atoms in a semiconductor material.ⓘ Acceptor Concentration [N_A]			+10% -10%
✖Intrinsic Concentration refers to the concentration of charge carriers (electrons and holes) in an intrinsic semiconductor at thermal equilibrium.ⓘ Intrinsic Concentration [N_i]			+10% -10%

✖Surface Potential is a key parameter in evaluating the DC property of thin-film transistors.ⓘ Surface Potential [Φ_s]

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Surface Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration)
Φ_s = 2*V_sb*ln(N_A/N_i)
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

Surface Potential - (Measured in Volt) - Surface Potential is a key parameter in evaluating the DC property of thin-film transistors.
Source Body Potential Difference - (Measured in Volt) - Source Body Potential Difference is calculated when an externally applied potential is equal to the sum of voltage drop across the oxide layer and the voltage drop across the semiconductor.
Acceptor Concentration - (Measured in 1 per Cubic Meter) - Acceptor Concentration refers to the concentration of acceptor dopant atoms in a semiconductor material.
Intrinsic Concentration - (Measured in 1 per Cubic Meter) - Intrinsic Concentration refers to the concentration of charge carriers (electrons and holes) in an intrinsic semiconductor at thermal equilibrium.

STEP 1: Convert Input(s) to Base Unit

Source Body Potential Difference: 1.36 Volt --> 1.36 Volt No Conversion Required
Acceptor Concentration: 1E+16 1 per Cubic Centimeter --> 1E+22 1 per Cubic Meter (Check conversion here)
Intrinsic Concentration: 14500000000 1 per Cubic Centimeter --> 1.45E+16 1 per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_s = 2*V_sb*ln(N_A/N_i) --> 2*1.36*ln(1E+22/1.45E+16)

Evaluating ... ...

Φ_s = 36.5675358441665

STEP 3: Convert Result to Output's Unit

36.5675358441665 Volt --> No Conversion Required

FINAL ANSWER

36.5675358441665 ≈ 36.56754 Volt <-- Surface Potential

(Calculation completed in 00.004 seconds)

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< VLSI Material Optimization Calculators

Body Effect Coefficient

LaTeX Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))

DIBL Coefficient

LaTeX Go DIBL Coefficient = (Threshold Voltage DIBL-Threshold Voltage)/Drain to Source Potential

Channel Charge

LaTeX Go Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)

Critical Voltage

LaTeX Go Critical Voltage = Critical Electric Field*Electric Field Across Channel Length

Surface Potential Formula

LaTeX Go

Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration)
Φ_s = 2*V_sb*ln(N_A/N_i)

Why do we calculate surface potential?

Surface potential is calculated to determine the voltage level at the semiconductor surface. It helps assess device performance, threshold voltage, and power consumption in CMOS transistors, aiding in circuit design and optimization.

How to Calculate Surface Potential?

Surface Potential calculator uses Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration) to calculate the Surface Potential, The Surface potential formula is defined as is a key parameter in evaluating the DC property of thin-film transistors. The externally applied potential is equal to the voltage drop across the oxide layer plus the voltage drop across the semiconductor. Surface Potential is denoted by Φ_s symbol.

How to calculate Surface Potential using this online calculator? To use this online calculator for Surface Potential, enter Source Body Potential Difference (V_sb), Acceptor Concentration (N_A) & Intrinsic Concentration (N_i) and hit the calculate button. Here is how the Surface Potential calculation can be explained with given input values -> 36.56754 = 2*1.36*ln(1E+22/1.45E+16).

FAQ

What is Surface Potential?

The Surface potential formula is defined as is a key parameter in evaluating the DC property of thin-film transistors. The externally applied potential is equal to the voltage drop across the oxide layer plus the voltage drop across the semiconductor and is represented as Φ_s = 2*V_sb*ln(N_A/N_i) or Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration). Source Body Potential Difference is calculated when an externally applied potential is equal to the sum of voltage drop across the oxide layer and the voltage drop across the semiconductor, Acceptor Concentration refers to the concentration of acceptor dopant atoms in a semiconductor material & Intrinsic Concentration refers to the concentration of charge carriers (electrons and holes) in an intrinsic semiconductor at thermal equilibrium.

How to calculate Surface Potential?

The Surface potential formula is defined as is a key parameter in evaluating the DC property of thin-film transistors. The externally applied potential is equal to the voltage drop across the oxide layer plus the voltage drop across the semiconductor is calculated using Surface Potential = 2*Source Body Potential Difference*ln(Acceptor Concentration/Intrinsic Concentration). To calculate Surface Potential, you need Source Body Potential Difference (V_sb), Acceptor Concentration (N_A) & Intrinsic Concentration (N_i). With our tool, you need to enter the respective value for Source Body Potential Difference, Acceptor Concentration & 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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