FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Channel Resistance Formula

Fx Copy

LaTeX Copy

Channel Resistance refers to the resistance offered by the semiconductor material in the channel through which the current flows between the source and drain terminals. Check FAQs

R ch = \frac{L t}{W t} \cdot \frac{1}{μ n \cdot Q on}

R_ch - Channel Resistance?L_t - Transistor's Length?W_t - Transistor's Width?μ_n - Electron Mobility?Q_on - Carrier Density?

Channel Resistance Example

With values

With units

Only example

Here is how the Channel Resistance equation looks like with Values.

Here is how the Channel Resistance equation looks like with Units.

Here is how the Channel Resistance equation looks like.

3.4632 = \frac{3.2}{5.5} \cdot \frac{1}{30 \cdot 0.0056}

3.4632Ω = \frac{3.2μm}{5.5μm} \cdot \frac{1}{30m²/V*s \cdot 0.0056electrons/m³}

3.4632 = \frac{3.2}{5.5} \cdot \frac{1}{30 \cdot 0.0056}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Integrated Circuits (IC) » fx Channel Resistance

Channel Resistance Solution

Follow our step by step solution on how to calculate Channel Resistance?

FIRST Step Consider the formula

R ch = \frac{L t}{W t} \cdot \frac{1}{μ n \cdot Q on}

Next Step Substitute values of Variables

∴

R ch = \frac{3.2μm}{5.5μm} \cdot \frac{1}{30m²/V*s \cdot 0.0056electrons/m³}

Next Step Convert Units

∴

R ch = \frac{3.2E-6m}{5.5E-6m} \cdot \frac{1}{30m²/V*s \cdot 0.0056electrons/m³}

Next Step Prepare to Evaluate

∴

R ch = \frac{3.2E-6}{5.5E-6} \cdot \frac{1}{30 \cdot 0.0056}

Next Step Evaluate

∴

R ch = 3.46320346320346Ω

LAST Step Rounding Answer

∴

R ch = 3.4632Ω

Channel Resistance Formula Elements

Variables

Channel Resistance

Channel Resistance refers to the resistance offered by the semiconductor material in the channel through which the current flows between the source and drain terminals.

Symbol: R_ch

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Channel Resistance

Transistor's Length

Transistor's Length refers to the length of the channel region in a MOSFET. This dimension plays a crucial role in determining the electrical characteristics and performance of the transistor.

Symbol: L_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Transistor's Length

Transistor's Width

Transistor's Width refers to the width of the channel region in a MOSFET. This dimension plays a crucial role in determining the electrical characteristics and performance of the transistor.

Symbol: W_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Transistor's Width

Electron Mobility

Electron Mobility describes how quickly electrons can move through the material in response to an electric field.

Symbol: μ_n

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Electron Mobility

Carrier Density

Carrier Density refers to the number of charge carriers (electrons or holes) present in the semiconductor channel.

Symbol: Q_on

Measurement: Electron DensityUnit: electrons/m³

Note: Value should be greater than 0.

Formulas to find Carrier Density

Other formulas in MOS IC Fabrication category

Go Body Effect in MOSFET

V t = V th + γ \cdot (\sqrt{2 \cdot Φ f + V bs} - \sqrt{2 \cdot Φ f})

Go MOSFET Unity-Gain Frequency

f t = \frac{g m}{C gs + C gd}

Go Drain Current of MOSFET at Saturation Region

I d = \frac{β}{2} \cdot {(V gs - V th)}^{2} \cdot (1 + λ i \cdot V ds)

Go Propagation Time

T p = 0.7 \cdot N \cdot (\frac{N + 1}{2}) \cdot R m \cdot C l

How to Evaluate Channel Resistance?

Channel Resistance evaluator uses Channel Resistance = Transistor's Length/Transistor's Width*1/(Electron Mobility*Carrier Density) to evaluate the Channel Resistance, The Channel Resistance formula is defined as the resistance of the semiconductor material in the channel through which the current flows between the source and drain terminals. Channel Resistance is denoted by R_ch symbol.

How to evaluate Channel Resistance using this online evaluator? To use this online evaluator for Channel Resistance, enter Transistor's Length (L_t), Transistor's Width (W_t), Electron Mobility (μ_n) & Carrier Density (Q_on) and hit the calculate button.

FAQs on Channel Resistance

What is the formula to find Channel Resistance?

The formula of Channel Resistance is expressed as Channel Resistance = Transistor's Length/Transistor's Width*1/(Electron Mobility*Carrier Density). Here is an example- 3.463203 = 3.2E-06/5.5E-06*1/(30*0.0056).

How to calculate Channel Resistance?

With Transistor's Length (L_t), Transistor's Width (W_t), Electron Mobility (μ_n) & Carrier Density (Q_on) we can find Channel Resistance using the formula - Channel Resistance = Transistor's Length/Transistor's Width*1/(Electron Mobility*Carrier Density).

Can the Channel Resistance be negative?

No, the Channel Resistance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Channel Resistance?

Channel Resistance is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Channel Resistance can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Channel Resistance Formula

Channel Resistance Example

Channel Resistance Solution

Channel Resistance Formula Elements

Other formulas in MOS IC Fabrication category

How to Evaluate Channel Resistance?

FAQs on Channel Resistance

Variable Name