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## Credits

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

## Body effect coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
body_effect_coefficient = (Threshold voltage-Threshold Voltage)/(sqrt(surface potential+Potential difference Source To Body)-sqrt(surface potential))
γ = (VT-Vto)/(sqrt(Φs+Vsb)-sqrt(Φs))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Threshold voltage - Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency. (Measured in Volt)
Threshold Voltage - Threshold Voltage When Source is at body potential (Measured in Volt)
surface potential - surface potential is a key parameter in evaluating the DC property of thin-film transistors (Measured in Volt)
Potential difference Source To Body - Potential difference Source To Body (Measured in Volt)
STEP 1: Convert Input(s) to Base Unit
Threshold voltage: 50 Volt --> 50 Volt No Conversion Required
Threshold Voltage: 10 Volt --> 10 Volt No Conversion Required
surface potential: 7 Volt --> 7 Volt No Conversion Required
Potential difference Source To Body: 3 Volt --> 3 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = (VT-Vto)/(sqrt(Φs+Vsb)-sqrt(Φs)) --> (50-10)/(sqrt(7+3)-sqrt(7))
Evaluating ... ...
γ = 77.4403862831063
STEP 3: Convert Result to Output's Unit
77.4403862831063 --> No Conversion Required
FINAL ANSWER
77.4403862831063 <-- body effect coefficient
(Calculation completed in 00.083 seconds)

## < 10+ CMOS-VLSI Design Calculators

Drain Voltage
drain_voltage = sqrt(dynamic power/frequency*Capacitance) Go
Gate to Channel Voltage
gate_to_channel_voltage = (Channel Charge/Gate Capacitance)+Threshold voltage Go
Threshold Voltage
threshold_voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance) Go
Gate Capacitance
channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage) Go
Channel Charge
channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage) Go
Capacitor dynamic power
dynamic_power = Drain Voltage^2*frequency*Capacitance Go
Potential gate to Collector
potential_gate_to_collector = (Potential Gate to Source+Potential Gate to Drain)/2 Go
Potential Gate to Drain
potential_gate_to_drain = 2*potential gate to collector-Potential Gate to Source Go
Static Current
static_current = Static power/Drain Voltage Go
Static Power Dissipation
static_power = static current*Drain Voltage Go

### Body effect coefficient Formula

body_effect_coefficient = (Threshold voltage-Threshold Voltage)/(sqrt(surface potential+Potential difference Source To Body)-sqrt(surface potential))
γ = (VT-Vto)/(sqrt(Φs+Vsb)-sqrt(Φs))

## Explain why is the number of gate inputs to CMOS gates usually limited to four?

Higher the number of stacks, slower the gate will be. In NOR and NAND gates the number of gates present in the stack is usually alike as the number of inputs plus one. So input are restricted to four.

## How to Calculate Body effect coefficient?

Body effect coefficient calculator uses body_effect_coefficient = (Threshold voltage-Threshold Voltage)/(sqrt(surface potential+Potential difference Source To Body)-sqrt(surface potential)) to calculate the body effect coefficient, The Body effect coefficient formula is defined as the influence of source-bulk voltage in the current due to change of the threshold voltage by the source-bulk voltage. body effect coefficient and is denoted by γ symbol.

How to calculate Body effect coefficient using this online calculator? To use this online calculator for Body effect coefficient, enter Threshold voltage (VT), Threshold Voltage (Vto), surface potential (Φs) and Potential difference Source To Body (Vsb) and hit the calculate button. Here is how the Body effect coefficient calculation can be explained with given input values -> 77.44039 = (50-10)/(sqrt(7+3)-sqrt(7)).

### FAQ

What is Body effect coefficient?
The Body effect coefficient formula is defined as the influence of source-bulk voltage in the current due to change of the threshold voltage by the source-bulk voltage and is represented as γ = (VT-Vto)/(sqrt(Φs+Vsb)-sqrt(Φs)) or body_effect_coefficient = (Threshold voltage-Threshold Voltage)/(sqrt(surface potential+Potential difference Source To Body)-sqrt(surface potential)). Threshold voltage of transistor is the minimum gate to source voltage that is needed to create a conducting path between the source and drain terminals. It is an important factor to maintain power efficiency, Threshold Voltage When Source is at body potential, surface potential is a key parameter in evaluating the DC property of thin-film transistors and Potential difference Source To Body.
How to calculate Body effect coefficient?
The Body effect coefficient formula is defined as the influence of source-bulk voltage in the current due to change of the threshold voltage by the source-bulk voltage is calculated using body_effect_coefficient = (Threshold voltage-Threshold Voltage)/(sqrt(surface potential+Potential difference Source To Body)-sqrt(surface potential)). To calculate Body effect coefficient, you need Threshold voltage (VT), Threshold Voltage (Vto), surface potential (Φs) and Potential difference Source To Body (Vsb). With our tool, you need to enter the respective value for Threshold voltage, Threshold Voltage, surface potential and Potential difference Source To Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate body effect coefficient?
In this formula, body effect coefficient uses Threshold voltage, Threshold Voltage, surface potential and Potential difference Source To Body. We can use 10 other way(s) to calculate the same, which is/are as follows -
• dynamic_power = Drain Voltage^2*frequency*Capacitance
• drain_voltage = sqrt(dynamic power/frequency*Capacitance)
• static_power = static current*Drain Voltage
• static_current = Static power/Drain Voltage
• channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage)
• channel_charge = Gate Capacitance*(Gate to Channel Voltage-Threshold voltage)
• gate_to_channel_voltage = (Channel Charge/Gate Capacitance)+Threshold voltage
• threshold_voltage = Gate to Channel Voltage-(Channel Charge/Gate Capacitance)
• potential_gate_to_collector = (Potential Gate to Source+Potential Gate to Drain)/2
• potential_gate_to_drain = 2*potential gate to collector-Potential Gate to Source
Where is the Body effect coefficient calculator used?
Among many, Body effect coefficient calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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