Gate to Channel Voltage Calculator

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Analog VLSI Design

VLSI Material Optimization

✖Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field.ⓘ Channel Charge [Q_ch]			+10% -10%
✖Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor.ⓘ Gate Capacitance [C_g]			+10% -10%
✖Threshold voltage of transistor is the minimum gate to source voltage required to create conducting path between the source and drain terminals.ⓘ Threshold Voltage [V_t]			+10% -10%

✖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.ⓘ Gate to Channel Voltage [V_gc]

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Formula

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Gate to Channel Voltage

Formula

`"V"_{"gc"} = ("Q"_{"ch"}/"C"_{"g"})+"V"_{"t"}`

Example

`"7.010284V"=("0.40mC"/"59.61μF")+"0.3V"`

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Gate to Channel Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gate to Channel Voltage = (Channel Charge/Gate Capacitance)+Threshold Voltage
V_gc = (Q_ch/C_g)+V_t
This formula uses 4 Variables

Variables Used

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.
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.
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

Channel Charge: 0.4 Millicoulomb --> 0.0004 Coulomb (Check conversion here)
Gate Capacitance: 59.61 Microfarad --> 5.961E-05 Farad (Check conversion here)
Threshold Voltage: 0.3 Volt --> 0.3 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_gc = (Q_ch/C_g)+V_t --> (0.0004/5.961E-05)+0.3

Evaluating ... ...

V_gc = 7.01028350947828

STEP 3: Convert Result to Output's Unit

7.01028350947828 Volt --> No Conversion Required

FINAL ANSWER

7.01028350947828 ≈ 7.010284 Volt <-- Gate to Channel Voltage

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 16 Analog VLSI Design Calculators

Potential between Source to Body

Go Source Body Potential Difference = Surface Potential/(2*ln(Acceptor Concentration/Intrinsic Concentration))

Gate to Source Capacitance

Go Gate to Source Capacitance = Gate Capacitance-(Gate to Base Capacitance+Gate to Drain Capacitance)

Gate to Drain Capacitance

Go Gate to Drain Capacitance = Gate Capacitance-(Gate to Base Capacitance+Gate to Source Capacitance)

Gate to Base Capacitance

Go Gate to Base Capacitance = Gate Capacitance-(Gate to Source Capacitance+Gate to Drain Capacitance)

Drain Voltage

Go Base Collector Voltage = sqrt(Dynamic Power/(Frequency*Capacitance))

Potential from Drain to Source

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

Gate to Channel Voltage

Go Gate to Channel Voltage = (Channel Charge/Gate Capacitance)+Threshold Voltage

Gate to Collector Potential

Go Gate to Channel Voltage = (Gate to Source Potential+Gate to Drain Potential)/2

Gate to Source Potential

Go Gate to Source Potential = 2*Gate to Channel Voltage-Gate to Drain Potential

Gate to Drain Potential

Go Gate to Drain Potential = 2*Gate to Channel Voltage-Gate to Source Potential

Minimum High Output Voltage

Go Minimum High Output Voltage = High Noise Margin+Minimum High Input Voltage

Minimum High Input Voltage

Go Minimum High Input Voltage = Minimum High Output Voltage-High Noise Margin

High Noise Margin

Go High Noise Margin = Minimum High Output Voltage-Minimum High Input Voltage

Maximum Low Output Voltage

Go Maximum Low Output Voltage = Maximum Low Input Voltage-Low Noise Margin

Maximum Low Input Voltage

Go Maximum Low Input Voltage = Low Noise Margin+Maximum Low Output Voltage

Low Noise Margin

Go Low Noise Margin = Maximum Low Input Voltage-Maximum Low Output Voltage

Gate to Channel Voltage Formula

Gate to Channel Voltage = (Channel Charge/Gate Capacitance)+Threshold Voltage
V_gc = (Q_ch/C_g)+V_t

What is the significance of gate to channel voltage?

Difference between the gate to channel voltage and threshold voltage indicates the amount of voltage attracting charge to the channel beyond the minimum required to invert from p to n. The gate voltage is referenced to the channel, which is not grounded.

How to Calculate Gate to Channel Voltage?

Gate to Channel Voltage calculator uses Gate to Channel Voltage = (Channel Charge/Gate Capacitance)+Threshold Voltage to calculate the Gate to Channel Voltage, The Gate to Channel Voltage formula is defined as the drain-source on-state resistance is larger than the rated value when the gate voltage is around the threshold voltage. Gate to Channel Voltage is denoted by V_gc symbol.

How to calculate Gate to Channel Voltage using this online calculator? To use this online calculator for Gate to Channel Voltage, enter Channel Charge (Q_ch), Gate Capacitance (C_g) & Threshold Voltage (V_t) and hit the calculate button. Here is how the Gate to Channel Voltage calculation can be explained with given input values -> 7.010284 = (0.0004/5.961E-05)+0.3.

FAQ

What is Gate to Channel Voltage?

The Gate to Channel Voltage formula is defined as the drain-source on-state resistance is larger than the rated value when the gate voltage is around the threshold voltage and is represented as V_gc = (Q_ch/C_g)+V_t or Gate to Channel Voltage = (Channel Charge/Gate Capacitance)+Threshold Voltage. Channel Charge is defined as force experienced of a matter, when placed in an electromagnetic field, Gate Capacitance is the capacitance of the gate terminal of a field-effect transistor & 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 Gate to Channel Voltage?

The Gate to Channel Voltage formula is defined as the drain-source on-state resistance is larger than the rated value when the gate voltage is around the threshold voltage is calculated using Gate to Channel Voltage = (Channel Charge/Gate Capacitance)+Threshold Voltage. To calculate Gate to Channel Voltage, you need Channel Charge (Q_ch), Gate Capacitance (C_g) & Threshold Voltage (V_t). With our tool, you need to enter the respective value for Channel Charge, Gate Capacitance & Threshold Voltage 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 Gate to Channel Voltage?

In this formula, Gate to Channel Voltage uses Channel Charge, Gate Capacitance & Threshold Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

Gate to Channel Voltage = (Gate to Source Potential+Gate to Drain Potential)/2

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