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Input Resistance given Transconductance Formula

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The Input Resistance is the resistance seen at the base terminal of the transistor. Check FAQs

r π = \frac{β 0}{g m}

r_π - Input Resistance?β₀ - Small Signal Current Gain?g_m - Transconductance?

Input Resistance given Transconductance Example

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

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

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

9400 = \frac{4.7}{0.5}

9400Ω = \frac{4.7}{0.5mS}

9400 = \frac{4.7}{0.5}

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Input Resistance given Transconductance Solution

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

FIRST Step Consider the formula

r π = \frac{β 0}{g m}

Next Step Substitute values of Variables

∴

r π = \frac{4.7}{0.5mS}

Next Step Convert Units

∴

r π = \frac{4.7}{0.0005S}

Next Step Prepare to Evaluate

∴

r π = \frac{4.7}{0.0005}

LAST Step Evaluate

∴

r π = 9400Ω

Input Resistance given Transconductance Formula Elements

Variables

Input Resistance

The Input Resistance is the resistance seen at the base terminal of the transistor.

Symbol: r_π

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Input Resistance

Small Signal Current Gain

Small Signal Current Gain is a measure of how much the collector current changes in response to a small change in the base current .

Symbol: β₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Small Signal Current Gain

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 Input Resistance

Go Small Signal Input Resistance

r π = \frac{V i}{i b}

Go Input Resistance of Mosfet

r π = \frac{V i}{i c \cdot β 0}

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 Drain Output Resistance

R out = \frac{1}{λ \cdot i d}

Go Finite Resistance between Drain and Source

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

How to Evaluate Input Resistance given Transconductance?

Input Resistance given Transconductance evaluator uses Input Resistance = Small Signal Current Gain/Transconductance to evaluate the Input Resistance, The Input Resistance given Transconductance formula is defined as the reciprocal of the transconductance of the device. It is a measure of how much the input current to a device changes when the input voltage is changed. Input Resistance is denoted by r_π symbol.

How to evaluate Input Resistance given Transconductance using this online evaluator? To use this online evaluator for Input Resistance given Transconductance, enter Small Signal Current Gain (β₀) & Transconductance (g_m) and hit the calculate button.

FAQs on Input Resistance given Transconductance

What is the formula to find Input Resistance given Transconductance?

The formula of Input Resistance given Transconductance is expressed as Input Resistance = Small Signal Current Gain/Transconductance. Here is an example- 9400 = 4.7/0.0005.

How to calculate Input Resistance given Transconductance?

With Small Signal Current Gain (β₀) & Transconductance (g_m) we can find Input Resistance given Transconductance using the formula - Input Resistance = Small Signal Current Gain/Transconductance.

What are the other ways to Calculate Input Resistance?

Here are the different ways to Calculate Input Resistance-

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

Can the Input Resistance given Transconductance be negative?

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

Which unit is used to measure Input Resistance given Transconductance?

Input Resistance given Transconductance 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 Input Resistance given Transconductance can be measured.

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