## Channel Charge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)
Qch = Cg*(Vgc-Vt)
This formula uses 4 Variables
Variables Used
Channel Charge - (Measured in Coulomb) - Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field.
Gate Capacitance - (Measured in Farad) - Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor.
Gate to Channel Voltage - (Measured in Volt) - Gate to Channel Voltage is defined as the drain-source on-state resistance is larger than rated value when gate voltage is around threshold voltage.
Threshold Voltage - (Measured in Volt) - Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.
STEP 1: Convert Input(s) to Base Unit
Gate to Channel Voltage: 7.011 Volt --> 7.011 Volt No Conversion Required
Threshold Voltage: 0.3 Volt --> 0.3 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qch = Cg*(Vgc-Vt) --> 5.961E-05*(7.011-0.3)
Evaluating ... ...
Qch = 0.00040004271
STEP 3: Convert Result to Output's Unit
0.00040004271 Coulomb -->0.40004271 Millicoulomb (Check conversion ​here)
0.40004271 0.400043 Millicoulomb <-- Channel Charge
(Calculation completed in 00.020 seconds)
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## Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## <VLSI Material Optimization Calculators

Body Effect Coefficient
​ Go Body Effect Coefficient = modulus((Threshold Voltage-Threshold Voltage DIBL)/(sqrt(Surface Potential+(Source Body Potential Difference))-sqrt(Surface Potential)))
DIBL Coefficient
​ Go DIBL Coefficient = (Threshold Voltage DIBL-Threshold Voltage)/Drain to Source Potential
Channel Charge
​ Go Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)
Critical Voltage
​ Go Critical Voltage = Critical Electric Field*Electric Field Across Channel Length

## Channel Charge Formula

Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage)
Qch = Cg*(Vgc-Vt)

## How is long channel model derived?

Long channel model is derived relating the current and voltage (I-V) for an nMOS transistor in each of the cutoff or subthreshold, linear and Saturation region. The model assumes that the channel length is long enough that the lateral electric field (the field between source and drain) is relatively low, which is no longer the case in nanometer devices. This model is variously known as the long-channel, ideal, first-order, or Shockley model.

## How to Calculate Channel Charge?

Channel Charge calculator uses Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage) to calculate the Channel Charge, The Channel Charge formula is defined as matter that causes it to experience a force when placed in an electromagnetic field. Channel Charge is denoted by Qch symbol.

How to calculate Channel Charge using this online calculator? To use this online calculator for Channel Charge, enter Gate Capacitance (Cg), Gate to Channel Voltage (Vgc) & Threshold Voltage (Vt) and hit the calculate button. Here is how the Channel Charge calculation can be explained with given input values -> 399.9831 = 5.961E-05*(7.011-0.3).

### FAQ

What is Channel Charge?
The Channel Charge formula is defined as matter that causes it to experience a force when placed in an electromagnetic field and is represented as Qch = Cg*(Vgc-Vt) or Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage). Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor, Gate to Channel Voltage is defined as the drain-source on-state resistance is larger than rated value when gate voltage is around threshold voltage & Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.
How to calculate Channel Charge?
The Channel Charge formula is defined as matter that causes it to experience a force when placed in an electromagnetic field is calculated using Channel Charge = Gate Capacitance*(Gate to Channel Voltage-Threshold Voltage). To calculate Channel Charge, you need Gate Capacitance (Cg), Gate to Channel Voltage (Vgc) & Threshold Voltage (Vt). With our tool, you need to enter the respective value for Gate Capacitance, Gate to Channel Voltage & Threshold Voltage 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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