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Collector Current of BJT Differential Amplifier given Emitter Resistance Formula

GoCollector Current of BJT Differential Amplifier given Emitter Current Formula

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Collector Current is defined as the direct current that passes through the collector of a transistor. Check FAQs

i c = \frac{α \cdot V id}{2 \cdot R E}

i_c - Collector Current?α - Common Base Current Gain?V_id - Differential Input Voltage?R_E - Emitter Resistance?

Collector Current of BJT Differential Amplifier given Emitter Resistance Example

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Here is how the Collector Current of BJT Differential Amplifier given Emitter Resistance equation looks like with Values.

Here is how the Collector Current of BJT Differential Amplifier given Emitter Resistance equation looks like with Units.

Here is how the Collector Current of BJT Differential Amplifier given Emitter Resistance equation looks like.

23.4375 = \frac{1.7 \cdot 7.5}{2 \cdot 0.272}

23.4375mA = \frac{1.7 \cdot 7.5V}{2 \cdot 0.272kΩ}

23.4375 = \frac{1.7 \cdot 7.5}{2 \cdot 0.272}

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Collector Current of BJT Differential Amplifier given Emitter Resistance Solution

Follow our step by step solution on how to calculate Collector Current of BJT Differential Amplifier given Emitter Resistance?

FIRST Step Consider the formula

i c = \frac{α \cdot V id}{2 \cdot R E}

Next Step Substitute values of Variables

∴

i c = \frac{1.7 \cdot 7.5V}{2 \cdot 0.272kΩ}

Next Step Convert Units

∴

i c = \frac{1.7 \cdot 7.5V}{2 \cdot 272Ω}

Next Step Prepare to Evaluate

∴

i c = \frac{1.7 \cdot 7.5}{2 \cdot 272}

Next Step Evaluate

∴

i c = 0.0234375A

LAST Step Convert to Output's Unit

∴

i c = 23.4375mA

Collector Current of BJT Differential Amplifier given Emitter Resistance Formula Elements

Variables

Collector Current

Collector Current is defined as the direct current that passes through the collector of a transistor.

Symbol: i_c

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Collector Current

Common Base Current Gain

Common Base Current Gain is defined as the change in collector current divided by the change in emitter current when the base-to-collector voltage is constant.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Common Base Current Gain

Differential Input Voltage

Differential Input Voltage is defined as signal input circuit where SIGNAL LO and SIGNAL HI are electrically floating with respect to ANALOG GROUND.

Symbol: V_id

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Differential Input Voltage

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

Other Formulas to find Collector Current

Go Collector Current of BJT Differential Amplifier given Emitter Current

i c = α \cdot i E

Other formulas in Current and Voltage category

Go Maximum Input Common-Mode Range Voltage of BJT Differential Amplifier

V cm = V i + (α \cdot 0.5 \cdot i \cdot R C)

Go First Emitter Current of BJT Differential Amplifier

i E1 = \frac{i}{1 + e^{\frac{- V id}{V th}}}

Go First Collector Current of BJT Differential Amplifier

i C1 = \frac{α \cdot i}{1 + e^{\frac{- V id}{V th}}}

Go Emitter Current of BJT Differential Amplifier

i E = \frac{V id}{2 \cdot r E + 2 \cdot R CE}

How to Evaluate Collector Current of BJT Differential Amplifier given Emitter Resistance?

Collector Current of BJT Differential Amplifier given Emitter Resistance evaluator uses Collector Current = (Common Base Current Gain*Differential Input Voltage)/(2*Emitter Resistance) to evaluate the Collector Current, The Collector current of BJT differential amplifier given emitter resistance formula is the current of two transistors which are determined by the input differential voltage and biasing scheme. Collector Current is denoted by i_c symbol.

How to evaluate Collector Current of BJT Differential Amplifier given Emitter Resistance using this online evaluator? To use this online evaluator for Collector Current of BJT Differential Amplifier given Emitter Resistance, enter Common Base Current Gain (α), Differential Input Voltage (V_id) & Emitter Resistance (R_E) and hit the calculate button.

FAQs on Collector Current of BJT Differential Amplifier given Emitter Resistance

What is the formula to find Collector Current of BJT Differential Amplifier given Emitter Resistance?

The formula of Collector Current of BJT Differential Amplifier given Emitter Resistance is expressed as Collector Current = (Common Base Current Gain*Differential Input Voltage)/(2*Emitter Resistance). Here is an example- 23437.5 = (1.7*7.5)/(2*272).

How to calculate Collector Current of BJT Differential Amplifier given Emitter Resistance?

With Common Base Current Gain (α), Differential Input Voltage (V_id) & Emitter Resistance (R_E) we can find Collector Current of BJT Differential Amplifier given Emitter Resistance using the formula - Collector Current = (Common Base Current Gain*Differential Input Voltage)/(2*Emitter Resistance).

What are the other ways to Calculate Collector Current?

Here are the different ways to Calculate Collector Current-

Collector Current=Common Base Current Gain*Emitter Current

Can the Collector Current of BJT Differential Amplifier given Emitter Resistance be negative?

Yes, the Collector Current of BJT Differential Amplifier given Emitter Resistance, measured in Electric Current can be negative.

Which unit is used to measure Collector Current of BJT Differential Amplifier given Emitter Resistance?

Collector Current of BJT Differential Amplifier given Emitter Resistance is usually measured using the Milliampere[mA] for Electric Current. Ampere[mA], Microampere[mA], Centiampere[mA] are the few other units in which Collector Current of BJT Differential Amplifier given Emitter Resistance can be measured.

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