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Input Resistance of Common Gate Circuit given Transconductance Formula

GoInput Resistance of BJT Formula

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Input Resistance is the resistance seen by the current source or voltage source which drives the circuit. Check FAQs

R in = (\frac{1}{G m}) + (\frac{R L}{G m \cdot R fo})

R_in - Input Resistance?G_m - Transconductance?R_L - Load Resistance?R_fo - Finite Output Resistance?

Input Resistance of Common Gate Circuit given Transconductance Example

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Here is how the Input Resistance of Common Gate Circuit given Transconductance equation looks like with Values.

Here is how the Input Resistance of Common Gate Circuit given Transconductance equation looks like with Units.

Here is how the Input Resistance of Common Gate Circuit given Transconductance equation looks like.

0.8356 = (\frac{1}{1.72}) + (\frac{4}{1.72 \cdot 9.15})

0.8356kΩ = (\frac{1}{1.72mS}) + (\frac{4kΩ}{1.72mS \cdot 9.15kΩ})

0.8356 = (\frac{1}{1.72}) + (\frac{4}{1.72 \cdot 9.15})

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Input Resistance of Common Gate Circuit given Transconductance Solution

Follow our step by step solution on how to calculate Input Resistance of Common Gate Circuit given Transconductance?

FIRST Step Consider the formula

R in = (\frac{1}{G m}) + (\frac{R L}{G m \cdot R fo})

Next Step Substitute values of Variables

∴

R in = (\frac{1}{1.72mS}) + (\frac{4kΩ}{1.72mS \cdot 9.15kΩ})

Next Step Convert Units

∴

R in = (\frac{1}{0.0017S}) + (\frac{4000Ω}{0.0017S \cdot 9150Ω})

Next Step Prepare to Evaluate

∴

R in = (\frac{1}{0.0017}) + (\frac{4000}{0.0017 \cdot 9150})

Next Step Evaluate

∴

R in = 835.55724996823Ω

Next Step Convert to Output's Unit

∴

R in = 0.83555724996823kΩ

LAST Step Rounding Answer

∴

R in = 0.8356kΩ

Input Resistance of Common Gate Circuit given Transconductance Formula Elements

Variables

Input Resistance

Input Resistance is the resistance seen by the current source or voltage source which drives the circuit.

Symbol: R_in

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Input Resistance

Transconductance

Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.

Symbol: G_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Load Resistance

Load Resistance is the external resistance or impedance that is connected to the output of a circuit or device, and it is used to extract power or signal from the circuit.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Load Resistance

Finite Output Resistance

Finite output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.

Symbol: R_fo

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Finite Output Resistance

Other Formulas to find Input Resistance

Go Input Resistance of BJT

R in = \frac{V in}{i si}

Other formulas in Resistance category

Go Small-Signal Input Resistance between Base and Emitter

R s = \frac{V in}{I B}

Go Small-Signal Input Resistance between Base and Emitter using Transconductance

R s = \frac{β}{G m}

Go Small-Signal Input Resistance between Base and Emitter using Base Current

R s = \frac{V th}{I B}

Go Emitter Resistance given Threshold Voltage

R e = \frac{V th}{I e}

How to Evaluate Input Resistance of Common Gate Circuit given Transconductance?

Input Resistance of Common Gate Circuit given Transconductance evaluator uses Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance)) to evaluate the Input Resistance, The Input resistance of common gate circuit given transconductance formula is defined as the measure of the opposition to current, both static and dynamic, into the load network that is external to the electrical source. Input Resistance is denoted by R_in symbol.

How to evaluate Input Resistance of Common Gate Circuit given Transconductance using this online evaluator? To use this online evaluator for Input Resistance of Common Gate Circuit given Transconductance, enter Transconductance (G_m), Load Resistance (R_L) & Finite Output Resistance (R_fo) and hit the calculate button.

FAQs on Input Resistance of Common Gate Circuit given Transconductance

What is the formula to find Input Resistance of Common Gate Circuit given Transconductance?

The formula of Input Resistance of Common Gate Circuit given Transconductance is expressed as Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance)). Here is an example- 0.000836 = (1/0.00172)+(4000/(0.00172*9150)).

How to calculate Input Resistance of Common Gate Circuit given Transconductance?

With Transconductance (G_m), Load Resistance (R_L) & Finite Output Resistance (R_fo) we can find Input Resistance of Common Gate Circuit given Transconductance using the formula - Input Resistance = (1/Transconductance)+(Load Resistance/(Transconductance*Finite Output Resistance)).

What are the other ways to Calculate Input Resistance?

Here are the different ways to Calculate Input Resistance-

Input Resistance=Input Voltage/Signal Current

Can the Input Resistance of Common Gate Circuit given Transconductance be negative?

Yes, the Input Resistance of Common Gate Circuit given Transconductance, measured in Electric Resistance can be negative.

Which unit is used to measure Input Resistance of Common Gate Circuit given Transconductance?

Input Resistance of Common Gate Circuit 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 Input Resistance of Common Gate Circuit given Transconductance can be measured.

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Input Resistance of Common Gate Circuit given Transconductance Formula

​GoInput Resistance of BJT Formula

Input Resistance of Common Gate Circuit given Transconductance Example

Input Resistance of Common Gate Circuit given Transconductance Solution

Input Resistance of Common Gate Circuit given Transconductance Formula Elements

Other Formulas to find Input Resistance

Other formulas in Resistance category

How to Evaluate Input Resistance of Common Gate Circuit given Transconductance?

FAQs on Input Resistance of Common Gate Circuit given Transconductance

Variable Name

GoInput Resistance of BJT Formula