MOSFET as Linear Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Linear Resistance = 1/Conductance of Channel
Rds = 1/G
This formula uses 2 Variables
Variables Used
Linear Resistance - (Measured in Ohm) - 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.
Conductance of Channel - (Measured in Siemens) - The conductance of channel is typically defined as the ratio of the current passing through the channel to the voltage across it.
STEP 1: Convert Input(s) to Base Unit
Conductance of Channel: 6 Millisiemens --> 0.006 Siemens (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rds = 1/G --> 1/0.006
Evaluating ... ...
Rds = 166.666666666667
STEP 3: Convert Result to Output's Unit
166.666666666667 Ohm -->0.166666666666667 Kilohm (Check conversion ​here)
FINAL ANSWER
0.166666666666667 0.166667 Kilohm <-- Linear Resistance
(Calculation completed in 00.021 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Resistance Calculators

MOSFET as Linear Resistance given Aspect Ratio
​ LaTeX ​ Go Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage)
Finite Resistance between Drain and Source
​ LaTeX ​ Go Finite Resistance = modulus(Positive DC Voltage)/Drain Current
Electron Mean Free Path
​ LaTeX ​ Go Electron Mean Free Path = 1/(Output Resistance*Drain Current)
Drain Output Resistance
​ LaTeX ​ Go Output Resistance = 1/(Electron Mean Free Path*Drain Current)

MOSFET as Linear Resistance Formula

​LaTeX ​Go
Linear Resistance = 1/Conductance of Channel
Rds = 1/G

What is the condition to use the MOSFET as a linear resistor?

When you slowly increase the gate voltage the MOSFET slowly starts conducting by entering the linear region where it starts developing a voltage across it which we call V DS . In this region, the MOSFET acts as a resistance of finite value.

How to Calculate MOSFET as Linear Resistance?

MOSFET as Linear Resistance calculator uses Linear Resistance = 1/Conductance of Channel to calculate the Linear Resistance, The MOSFET as linear resistance 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 Rds symbol.

How to calculate MOSFET as Linear Resistance using this online calculator? To use this online calculator for MOSFET as Linear Resistance, enter Conductance of Channel (G) and hit the calculate button. Here is how the MOSFET as Linear Resistance calculation can be explained with given input values -> 0.000167 = 1/0.006.

FAQ

What is MOSFET as Linear Resistance?
The MOSFET as linear resistance 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 and is represented as Rds = 1/G or Linear Resistance = 1/Conductance of Channel. The conductance of channel is typically defined as the ratio of the current passing through the channel to the voltage across it.
How to calculate MOSFET as Linear Resistance?
The MOSFET as linear resistance 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 is calculated using Linear Resistance = 1/Conductance of Channel. To calculate MOSFET as Linear Resistance, you need Conductance of Channel (G). With our tool, you need to enter the respective value for Conductance of Channel 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 Linear Resistance?
In this formula, Linear Resistance uses Conductance of Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage)
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