Output Resistance given Transconductance Calculator

✖The Carrier Mobility is a measure of how fast the charge carriers in the Mosfet can move under the influence of an electric field.ⓘ Carrier Mobility [η]			+10% -10%
✖Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.ⓘ Transconductance [g_m]			+10% -10%

✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance given Transconductance [R_out]

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Formula

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Output Resistance given Transconductance

Formula

`"R"_{"out"} = 1/("η"*"g"_{"m"})`

Example

`"0.08kΩ"=1/("25m²/V*s"*"0.5mS")`

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Output Resistance given Transconductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Resistance = 1/(Carrier Mobility*Transconductance)
R_out = 1/(η*g_m)
This formula uses 3 Variables

Variables Used

Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
Carrier Mobility - (Measured in Square Meter per Volt per Second) - The Carrier Mobility is a measure of how fast the charge carriers in the Mosfet can move under the influence of an electric field.
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

STEP 1: Convert Input(s) to Base Unit

Carrier Mobility: 25 Square Meter per Volt per Second --> 25 Square Meter per Volt per Second No Conversion Required
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_out = 1/(η*g_m) --> 1/(25*0.0005)

Evaluating ... ...

R_out = 80

STEP 3: Convert Result to Output's Unit

80 Ohm -->0.08 Kilohm (Check conversion here)

FINAL ANSWER

0.08 Kilohm <-- Output Resistance

(Calculation completed in 00.004 seconds)

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Created by Suma Madhuri

VIT University (VIT), Chennai

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< 14 Resistance Calculators

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Go Linear Resistance = Channel Length/(Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width*Effective Voltage)

Output Resistance of Differential Amplifier

Go Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current)

Input Resistance of Mosfet

Go Input Resistance = Input Voltage/(Collector Current*Small Signal Current Gain)

Finite Resistance between Drain and Source

Go Finite Resistance = modulus(Positive DC Voltage)/Drain Current

Output Resistance given Channel Length Modulation

Go Output Resistance = 1/(Channel Length Modulation*Drain Current)

Input Resistance given Transconductance

Go Input Resistance = Small Signal Current Gain/Transconductance

Electron Mean Free Path

Go Electron Mean Free Path = 1/(Output Resistance*Drain Current)

Drain Output Resistance

Go Output Resistance = 1/(Electron Mean Free Path*Drain Current)

Output Resistance given Transconductance

Go Output Resistance = 1/(Carrier Mobility*Transconductance)

Voltage Dependent Resistance in MOSFET

Go Finite Resistance = Effective Voltage/Drain Current

Output Resistance of Mosfet

Go Output Resistance = Early Voltage/Collector Current

Small Signal Input Resistance

Go Input Resistance = Input Voltage/Base Current

Conductance in Linear Resistance of MOSFET

Go Conductance of Channel = 1/Linear Resistance

MOSFET as Linear Resistance

Go Linear Resistance = 1/Conductance of Channel

Output Resistance given Transconductance Formula

Output Resistance = 1/(Carrier Mobility*Transconductance)
R_out = 1/(η*g_m)

What is the relationship between output resistance and transconductance?

The output resistance of a device is inversely proportional to its transconductance. This means that devices with a high transconductance will have a low output resistance, and devices with a low transconductance will have a high output resistance.

How to Calculate Output Resistance given Transconductance?

Output Resistance given Transconductance calculator uses Output Resistance = 1/(Carrier Mobility*Transconductance) to calculate the Output Resistance, The Output Resistance given Transconductance formula is defined as an important parameter to consider when designing and analyzing electronic circuits. It can affect the gain, bandwidth, and stability of a circuit. Output Resistance is denoted by R_out symbol.

How to calculate Output Resistance given Transconductance using this online calculator? To use this online calculator for Output Resistance given Transconductance, enter Carrier Mobility (η) & Transconductance (g_m) and hit the calculate button. Here is how the Output Resistance given Transconductance calculation can be explained with given input values -> 8E-5 = 1/(25*0.0005).

FAQ

What is Output Resistance given Transconductance?

The Output Resistance given Transconductance formula is defined as an important parameter to consider when designing and analyzing electronic circuits. It can affect the gain, bandwidth, and stability of a circuit and is represented as R_out = 1/(η*g_m) or Output Resistance = 1/(Carrier Mobility*Transconductance). The Carrier Mobility is a measure of how fast the charge carriers in the Mosfet can move under the influence of an electric field & Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

How to calculate Output Resistance given Transconductance?

The Output Resistance given Transconductance formula is defined as an important parameter to consider when designing and analyzing electronic circuits. It can affect the gain, bandwidth, and stability of a circuit is calculated using Output Resistance = 1/(Carrier Mobility*Transconductance). To calculate Output Resistance given Transconductance, you need Carrier Mobility (η) & Transconductance (g_m). With our tool, you need to enter the respective value for Carrier Mobility & Transconductance 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 Output Resistance?

In this formula, Output Resistance uses Carrier Mobility & Transconductance. We can use 4 other way(s) to calculate the same, which is/are as follows -

Output Resistance = 1/(Electron Mean Free Path*Drain Current)
Output Resistance = ((Common Mode Input Signal*Transconductance)-Total Current)/(2*Transconductance*Total Current)
Output Resistance = Early Voltage/Collector Current
Output Resistance = 1/(Channel Length Modulation*Drain Current)

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