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Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Formula

GoDifferential Input Resistance of BJT Amplifier Formula

GoDifferential Input Resistance of BJT Amplifier given Small-Signal Input Resistance Formula

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Differential Input Resistance is defined as a single-ended "resistor" (connected between the input and ground) in the case of differential mode. Check FAQs

R id = (β + 1) \cdot (2 \cdot R E + 2 \cdot ΔR c)

R_id - Differential Input Resistance?β - Common Emitter Current Gain?R_E - Emitter Resistance?ΔR_c - Change in Collector Resistance?

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Example

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Here is how the Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain equation looks like with Values.

Here is how the Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain equation looks like with Units.

Here is how the Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain equation looks like.

27.948 = (50 + 1) \cdot (2 \cdot 0.272 + 2 \cdot 0.002)

27.948kΩ = (50 + 1) \cdot (2 \cdot 0.272kΩ + 2 \cdot 0.002kΩ)

27.948 = (50 + 1) \cdot (2 \cdot 0.272 + 2 \cdot 0.002)

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Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Solution

Follow our step by step solution on how to calculate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

FIRST Step Consider the formula

R id = (β + 1) \cdot (2 \cdot R E + 2 \cdot ΔR c)

Next Step Substitute values of Variables

∴

R id = (50 + 1) \cdot (2 \cdot 0.272kΩ + 2 \cdot 0.002kΩ)

Next Step Convert Units

∴

R id = (50 + 1) \cdot (2 \cdot 272Ω + 2 \cdot 2Ω)

Next Step Prepare to Evaluate

∴

R id = (50 + 1) \cdot (2 \cdot 272 + 2 \cdot 2)

Next Step Evaluate

∴

R id = 27948Ω

LAST Step Convert to Output's Unit

∴

R id = 27.948kΩ

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Formula Elements

Variables

Differential Input Resistance

Differential Input Resistance is defined as a single-ended "resistor" (connected between the input and ground) in the case of differential mode.

Symbol: R_id

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Differential Input Resistance

Common Emitter Current Gain

Common Emitter Current Gain is defined as the ratio of change in output current divided by change in input current.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Emitter Current Gain

Emitter Resistance

Emitter Resistance is defined as the output impedance of a current source transistor.

Symbol: R_E

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Emitter Resistance

Change in Collector Resistance

Change in Collector Resistance is the increment or decrement in resistance passing through the collector region.

Symbol: ΔR_c

Measurement: Electric ResistanceUnit: kΩ

Note: Value can be positive or negative.

Formulas to find Change in Collector Resistance

Other Formulas to find Differential Input Resistance

Go Differential Input Resistance of BJT Amplifier

R id = \frac{V id}{i B}

Go Differential Input Resistance of BJT Amplifier given Small-Signal Input Resistance

R id = 2 \cdot R BE

Other formulas in Resistance category

Go Transconductance of Small Signal Operation of BJT Amplifier

g m = \frac{i c}{V th}

How to Evaluate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain evaluator uses Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance) to evaluate the Differential Input Resistance, The Differential input resistance of BJT Amplifier given common-emitter current gain formula refers to the change in the emitter current of one transistor in the differential pair with respect to a change in the input voltage difference while keeping the common emitter current constant. It quantifies how the input voltage difference affects the emitter current. Differential Input Resistance is denoted by R_id symbol.

How to evaluate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain using this online evaluator? To use this online evaluator for Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain, enter Common Emitter Current Gain (β), Emitter Resistance (R_E) & Change in Collector Resistance (ΔR_c) and hit the calculate button.

FAQs on Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain

What is the formula to find Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

The formula of Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain is expressed as Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance). Here is an example- 0.165444 = (50+1)*(2*272+2*2).

How to calculate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

With Common Emitter Current Gain (β), Emitter Resistance (R_E) & Change in Collector Resistance (ΔR_c) we can find Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain using the formula - Differential Input Resistance = (Common Emitter Current Gain+1)*(2*Emitter Resistance+2*Change in Collector Resistance).

What are the other ways to Calculate Differential Input Resistance?

Here are the different ways to Calculate Differential Input Resistance-

Differential Input Resistance=Differential Input Voltage/Base Current
Differential Input Resistance=2*Base Emitter Input Resistance

Can the Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain be negative?

Yes, the Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain, measured in Electric Resistance can be negative.

Which unit is used to measure Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain is usually measured using the Kilohm[kΩ] for Electric Resistance. Ohm[kΩ], Megohm[kΩ], Microhm[kΩ] are the few other units in which Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain can be measured.

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Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Formula

​GoDifferential Input Resistance of BJT Amplifier Formula

​GoDifferential Input Resistance of BJT Amplifier given Small-Signal Input Resistance Formula

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Example

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Solution

Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain Formula Elements

Other Formulas to find Differential Input Resistance

Other formulas in Resistance category

How to Evaluate Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain?

FAQs on Differential Input Resistance of BJT Amplifier given Common-Emitter Current Gain

Variable Name

GoDifferential Input Resistance of BJT Amplifier Formula

GoDifferential Input Resistance of BJT Amplifier given Small-Signal Input Resistance Formula