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MOSFET as Linear Resistance given Aspect Ratio Formula

GoMOSFET as Linear Resistance Formula

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Linear resistance, the amount of opposition or resistance is directly proportional to the amount of current flowing through it, as described by Ohm's Law. Check FAQs

R ds = \frac{L}{μ s \cdot C ox \cdot W c \cdot V eff}

R_ds - Linear Resistance?L - Channel Length?μ_s - Mobility of Electrons at Surface of Channel?C_ox - Oxide Capacitance?W_c - Channel Width?V_eff - Effective Voltage?

MOSFET as Linear Resistance given Aspect Ratio Example

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Here is how the MOSFET as Linear Resistance given Aspect Ratio equation looks like with Values.

Here is how the MOSFET as Linear Resistance given Aspect Ratio equation looks like with Units.

Here is how the MOSFET as Linear Resistance given Aspect Ratio equation looks like.

0.1647 = \frac{100}{38 \cdot 940 \cdot 10 \cdot 1.7}

0.1647kΩ = \frac{100μm}{38m²/V*s \cdot 940μF \cdot 10μm \cdot 1.7V}

0.1647 = \frac{100}{38 \cdot 940 \cdot 10 \cdot 1.7}

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MOSFET as Linear Resistance given Aspect Ratio Solution

Follow our step by step solution on how to calculate MOSFET as Linear Resistance given Aspect Ratio?

FIRST Step Consider the formula

R ds = \frac{L}{μ s \cdot C ox \cdot W c \cdot V eff}

Next Step Substitute values of Variables

∴

R ds = \frac{100μm}{38m²/V*s \cdot 940μF \cdot 10μm \cdot 1.7V}

Next Step Convert Units

∴

R ds = \frac{0.0001m}{38m²/V*s \cdot 0.0009F \cdot 1E-5m \cdot 1.7V}

Next Step Prepare to Evaluate

∴

R ds = \frac{0.0001}{38 \cdot 0.0009 \cdot 1E-5 \cdot 1.7}

Next Step Evaluate

∴

R ds = 164.679533627561Ω

Next Step Convert to Output's Unit

∴

R ds = 0.164679533627561kΩ

LAST Step Rounding Answer

∴

R ds = 0.1647kΩ

MOSFET as Linear Resistance given Aspect Ratio Formula Elements

Variables

Linear Resistance

Linear resistance, the amount of opposition or resistance is directly proportional to the amount of current flowing through it, as described by Ohm's Law.

Symbol: R_ds

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Linear Resistance

Channel Length

Channel length refers to the distance between the source and drain terminals in a field-effect transistor (FET).

Symbol: L

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Channel Length

Mobility of Electrons at Surface of Channel

The mobility of electrons at surface of channel refers to the ability of electrons to move or travel through the surface of a semiconductor material, such as a silicon channel in a transistor.

Symbol: μ_s

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Mobility of Electrons at Surface of Channel

Oxide Capacitance

Oxide capacitance is an important parameter that affects the performance of MOS devices, such as the speed and power consumption of integrated circuits.

Symbol: C_ox

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Oxide Capacitance

Channel Width

Channel width refers to the range of frequencies used for transmitting data over a wireless communication channel. It is also known as bandwidth and is measured in hertz (Hz).

Symbol: W_c

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Channel Width

Effective Voltage

The effective voltage in a MOSFET (Metal-Oxide-Semiconductor Field-Effect Transistor) is the voltage that determines the behavior of the device. It is also known as the gate-source voltage.

Symbol: V_eff

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Effective Voltage

Other Formulas to find Linear Resistance

Go MOSFET as Linear Resistance

R ds = \frac{1}{G}

Other formulas in Resistance category

Go Electron Mean Free Path

λ = \frac{1}{R out \cdot i d}

Go Drain Output Resistance

R out = \frac{1}{λ \cdot i d}

Go Finite Resistance between Drain and Source

R fi = mod \underset{̲}{u} s \frac{V a}{i d}

Go Conductance in Linear Resistance of MOSFET

G = \frac{1}{R ds}

How to Evaluate MOSFET as Linear Resistance given Aspect Ratio?

MOSFET as Linear Resistance given Aspect Ratio evaluator uses Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage) to evaluate the Linear Resistance, The MOSFET as linear resistance given aspect Ratio acts as a variable resistor in the linear region and as a current source in the saturation region. Unlike a BJT, to use a MOSFET as a switch, you need to operate within the linear region. Linear Resistance is denoted by R_ds symbol.

How to evaluate MOSFET as Linear Resistance given Aspect Ratio using this online evaluator? To use this online evaluator for MOSFET as Linear Resistance given Aspect Ratio, enter Channel Length (L), Mobility of Electrons at Surface of Channel (μ_s), Oxide Capacitance (C_ox), Channel Width (W_c) & Effective Voltage (V_eff) and hit the calculate button.

FAQs on MOSFET as Linear Resistance given Aspect Ratio

What is the formula to find MOSFET as Linear Resistance given Aspect Ratio?

The formula of MOSFET as Linear Resistance given Aspect Ratio is expressed as Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage). Here is an example- 0.000165 = 0.0001/(38*0.00094*1E-05*1.7).

How to calculate MOSFET as Linear Resistance given Aspect Ratio?

With Channel Length (L), Mobility of Electrons at Surface of Channel (μ_s), Oxide Capacitance (C_ox), Channel Width (W_c) & Effective Voltage (V_eff) we can find MOSFET as Linear Resistance given Aspect Ratio using the formula - Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage).

What are the other ways to Calculate Linear Resistance?

Here are the different ways to Calculate Linear Resistance-

Linear Resistance=1/Conductance of Channel

Can the MOSFET as Linear Resistance given Aspect Ratio be negative?

No, the MOSFET as Linear Resistance given Aspect Ratio, measured in Electric Resistance cannot be negative.

Which unit is used to measure MOSFET as Linear Resistance given Aspect Ratio?

MOSFET as Linear Resistance given Aspect Ratio is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which MOSFET as Linear Resistance given Aspect Ratio can be measured.

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MOSFET as Linear Resistance given Aspect Ratio Formula

​GoMOSFET as Linear Resistance Formula

MOSFET as Linear Resistance given Aspect Ratio Example

MOSFET as Linear Resistance given Aspect Ratio Solution

MOSFET as Linear Resistance given Aspect Ratio Formula Elements

Other Formulas to find Linear Resistance

Other formulas in Resistance category

How to Evaluate MOSFET as Linear Resistance given Aspect Ratio?

FAQs on MOSFET as Linear Resistance given Aspect Ratio

Variable Name

GoMOSFET as Linear Resistance Formula