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First Collector Current of BJT Differential Amplifier Formula

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First Collector Current is the current in collector of first of two transistors in a large signal operation configuration. Check FAQs

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

i_C1 - First Collector Current?α - Common Base Current Gain?i - Current?V_id - Differential Input Voltage?V_th - Threshold Voltage?

First Collector Current of BJT Differential Amplifier Example

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

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

Here is how the First Collector Current of BJT Differential Amplifier equation looks like.

934.9792 = \frac{1.7 \cdot 550}{1 + e^{\frac{- 7.5}{0.7}}}

934.9792mA = \frac{1.7 \cdot 550mA}{1 + e^{\frac{- 7.5V}{0.7V}}}

934.9792 = \frac{1.7 \cdot 550}{1 + e^{\frac{- 7.5}{0.7}}}

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First Collector Current of BJT Differential Amplifier Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

i C1 = \frac{1.7 \cdot 550mA}{1 + e^{\frac{- 7.5V}{0.7V}}}

Next Step Convert Units

∴

i C1 = \frac{1.7 \cdot 0.55A}{1 + e^{\frac{- 7.5V}{0.7V}}}

Next Step Prepare to Evaluate

∴

i C1 = \frac{1.7 \cdot 0.55}{1 + e^{\frac{- 7.5}{0.7}}}

Next Step Evaluate

∴

i C1 = 0.934979219940083A

Next Step Convert to Output's Unit

∴

i C1 = 934.979219940083mA

LAST Step Rounding Answer

∴

i C1 = 934.9792mA

First Collector Current of BJT Differential Amplifier Formula Elements

Variables

First Collector Current

First Collector Current is the current in collector of first of two transistors in a large signal operation configuration.

Symbol: i_C1

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find First 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

Current

Current is the rate of flow of charge through a conducting material.

Symbol: i

Measurement: Electric CurrentUnit: mA

Note: Value can be positive or negative.

Formulas to find Current

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

Threshold Voltage

Threshold Voltage is defined as the minimum amount of voltage required by the transistor to turn on.

Symbol: V_th

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Threshold Voltage

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 Collector Current of BJT Differential Amplifier given Emitter Current

i c = α \cdot i E

Go Collector Current of BJT Differential Amplifier given Emitter Resistance

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

How to Evaluate First Collector Current of BJT Differential Amplifier?

First Collector Current of BJT Differential Amplifier evaluator uses First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage)) to evaluate the First Collector Current, The first collector current of BJT differential amplifier formula is defined as the collector current of one of the transistors in the differential pair when a small signal is applied to the input. This current is a result of the differential input voltage and helps determine the amplification and response characteristics of the amplifier circuit. First Collector Current is denoted by i_C1 symbol.

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

FAQs on First Collector Current of BJT Differential Amplifier

What is the formula to find First Collector Current of BJT Differential Amplifier?

The formula of First Collector Current of BJT Differential Amplifier is expressed as First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage)). Here is an example- 934979.2 = (1.7*550)/(1+e^((-7.5)/0.7)).

How to calculate First Collector Current of BJT Differential Amplifier?

With Common Base Current Gain (α), Current (i), Differential Input Voltage (V_id) & Threshold Voltage (V_th) we can find First Collector Current of BJT Differential Amplifier using the formula - First Collector Current = (Common Base Current Gain*Current)/(1+e^((-Differential Input Voltage)/Threshold Voltage)).

Can the First Collector Current of BJT Differential Amplifier be negative?

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

Which unit is used to measure First Collector Current of BJT Differential Amplifier?

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

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First Collector Current of BJT Differential Amplifier Formula

First Collector Current of BJT Differential Amplifier Example

First Collector Current of BJT Differential Amplifier Solution

First Collector Current of BJT Differential Amplifier Formula Elements

Other formulas in Current and Voltage category

How to Evaluate First Collector Current of BJT Differential Amplifier?

FAQs on First Collector Current of BJT Differential Amplifier

Variable Name