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

GoSmall-Signal Input Resistance between Base and Emitter Formula

GoSmall-Signal Input Resistance between Base and Emitter using Base Current Formula

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Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier. Check FAQs

R s = \frac{β}{G m}

R_s - Signal Resistance?β - Common Emitter Current Gain?G_m - Transconductance?

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

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Here is how the Small-Signal Input Resistance between Base and Emitter using Transconductance equation looks like with Values.

Here is how the Small-Signal Input Resistance between Base and Emitter using Transconductance equation looks like with Units.

Here is how the Small-Signal Input Resistance between Base and Emitter using Transconductance equation looks like.

37.7907 = \frac{65}{1.72}

37.7907kΩ = \frac{65}{1.72mS}

37.7907 = \frac{65}{1.72}

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

Follow our step by step solution on how to calculate Small-Signal Input Resistance between Base and Emitter using Transconductance?

FIRST Step Consider the formula

R s = \frac{β}{G m}

Next Step Substitute values of Variables

∴

R s = \frac{65}{1.72mS}

Next Step Convert Units

∴

R s = \frac{65}{0.0017S}

Next Step Prepare to Evaluate

∴

R s = \frac{65}{0.0017}

Next Step Evaluate

∴

R s = 37790.6976744186Ω

Next Step Convert to Output's Unit

∴

R s = 37.7906976744186kΩ

LAST Step Rounding Answer

∴

R s = 37.7907kΩ

Small-Signal Input Resistance between Base and Emitter using Transconductance Formula Elements

Variables

Signal Resistance

Signal Resistance is the resistance which is fed with the signal voltage source vs to an Amplifier.

Symbol: R_s

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Signal Resistance

Common Emitter Current Gain

Common emitter current gain is influenced by 2 factors: width of base region W, and relative dopings of base region and emitter region. Its range varies from 50-200.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be between 49 to 201.

Formulas to find Common Emitter Current Gain

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

Other Formulas to find Signal Resistance

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 Base Current

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

Other formulas in Resistance category

Go Emitter Resistance given Threshold Voltage

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

Go Small-Signal Input Resistance given Emitter Current

V ss = i si \cdot R e

Go Emitter Resistance given Emitter Current

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

Go Output Resistance of Simple Current BJT

R o = \frac{V DD}{I o}

How to Evaluate Small-Signal Input Resistance between Base and Emitter using Transconductance?

Small-Signal Input Resistance between Base and Emitter using Transconductance evaluator uses Signal Resistance = Common Emitter Current Gain/Transconductance to evaluate the Signal Resistance, The Small-Signal Input Resistance between Base and Emitter using Transconductance suggests that for a small signal, the transistor behaves as a voltage-controlled current source. The input port of the controlled current source is between base and emitter and the output port is in between collector and emitter. Signal Resistance is denoted by R_s symbol.

How to evaluate Small-Signal Input Resistance between Base and Emitter using Transconductance using this online evaluator? To use this online evaluator for Small-Signal Input Resistance between Base and Emitter using Transconductance, enter Common Emitter Current Gain (β) & Transconductance (G_m) and hit the calculate button.

FAQs on Small-Signal Input Resistance between Base and Emitter using Transconductance

What is the formula to find Small-Signal Input Resistance between Base and Emitter using Transconductance?

The formula of Small-Signal Input Resistance between Base and Emitter using Transconductance is expressed as Signal Resistance = Common Emitter Current Gain/Transconductance. Here is an example- 0.037791 = 65/0.00172.

How to calculate Small-Signal Input Resistance between Base and Emitter using Transconductance?

With Common Emitter Current Gain (β) & Transconductance (G_m) we can find Small-Signal Input Resistance between Base and Emitter using Transconductance using the formula - Signal Resistance = Common Emitter Current Gain/Transconductance.

What are the other ways to Calculate Signal Resistance?

Here are the different ways to Calculate Signal Resistance-

Signal Resistance=Input Voltage/Base Current
Signal Resistance=Threshold Voltage/Base Current

Can the Small-Signal Input Resistance between Base and Emitter using Transconductance be negative?

Yes, the Small-Signal Input Resistance between Base and Emitter using Transconductance, measured in Electric Resistance can be negative.

Which unit is used to measure Small-Signal Input Resistance between Base and Emitter using Transconductance?

Small-Signal Input Resistance between Base and Emitter using Transconductance is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Small-Signal Input Resistance between Base and Emitter using Transconductance can be measured.

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