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Output Resistance given Transconductance Formula

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Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output. Check FAQs

R out = \frac{1}{η \cdot g m}

R_out - Output Resistance?η - Carrier Mobility?g_m - Transconductance?

Output Resistance given Transconductance Example

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Here is how the Output Resistance given Transconductance equation looks like with Values.

Here is how the Output Resistance given Transconductance equation looks like with Units.

Here is how the Output Resistance given Transconductance equation looks like.

0.08 = \frac{1}{25 \cdot 0.5}

0.08kΩ = \frac{1}{25m²/V*s \cdot 0.5mS}

0.08 = \frac{1}{25 \cdot 0.5}

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Output Resistance given Transconductance Solution

Follow our step by step solution on how to calculate Output Resistance given Transconductance?

FIRST Step Consider the formula

R out = \frac{1}{η \cdot g m}

Next Step Substitute values of Variables

∴

R out = \frac{1}{25m²/V*s \cdot 0.5mS}

Next Step Convert Units

∴

R out = \frac{1}{25m²/V*s \cdot 0.0005S}

Next Step Prepare to Evaluate

∴

R out = \frac{1}{25 \cdot 0.0005}

Next Step Evaluate

∴

R out = 80Ω

LAST Step Convert to Output's Unit

∴

R out = 0.08kΩ

Output Resistance given Transconductance Formula Elements

Variables

Output Resistance

Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Carrier Mobility

The Carrier Mobility is a measure of how fast the charge carriers in the Mosfet can move under the influence of an electric field.

Symbol: η

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Carrier Mobility

Transconductance

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.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Other Formulas to find Output Resistance

Go Drain Output Resistance

R out = \frac{1}{λ \cdot i d}

Go Output Resistance of Differential Amplifier

R out = \frac{(V cin \cdot g m) - I t}{2 \cdot g m \cdot I t}

Go Output Resistance of Mosfet

R out = \frac{v a}{i c}

Go Output Resistance given Channel Length Modulation

R out = \frac{1}{λ c \cdot i d}

Other formulas in Resistance category

Go MOSFET as Linear Resistance given Aspect Ratio

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

Go Electron Mean Free Path

λ = \frac{1}{R out \cdot i d}

Go Finite Resistance between Drain and Source

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

Go MOSFET as Linear Resistance

R ds = \frac{1}{G}

How to Evaluate Output Resistance given Transconductance?

Output Resistance given Transconductance evaluator uses Output Resistance = 1/(Carrier Mobility*Transconductance) to evaluate 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 evaluate Output Resistance given Transconductance using this online evaluator? To use this online evaluator for Output Resistance given Transconductance, enter Carrier Mobility (η) & Transconductance (g_m) and hit the calculate button.

FAQs on Output Resistance given Transconductance

What is the formula to find Output Resistance given Transconductance?

The formula of Output Resistance given Transconductance is expressed as Output Resistance = 1/(Carrier Mobility*Transconductance). Here is an example- 8E-5 = 1/(25*0.0005).

How to calculate Output Resistance given Transconductance?

With Carrier Mobility (η) & Transconductance (g_m) we can find Output Resistance given Transconductance using the formula - Output Resistance = 1/(Carrier Mobility*Transconductance).

What are the other ways to Calculate Output Resistance?

Here are the different ways to Calculate Output Resistance-

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

Can the Output Resistance given Transconductance be negative?

No, the Output Resistance given Transconductance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Output Resistance given Transconductance?

Output Resistance given Transconductance is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Output Resistance given Transconductance can be measured.

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