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Collector Current given Base-Emitter Voltage Formula

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Collector Current in BJTs is the current flowing through the collector terminal of the transistor. It is a fundamental parameter that characterizes its behavior and performance. Check FAQs

I cc = α \cdot I sat \cdot (\exp (\frac{[Charge-e] \cdot V BE}{[BoltZ] \cdot t o} - 1))

I_cc - Collector Current in BJTs?α - Current Transfer Ratio?I_sat - Saturation Current?V_BE - Base Emitter Voltage?t_o - Temperature Impurity?[Charge-e] - Charge of electron?[BoltZ] - Boltzmann constant?

Collector Current given Base-Emitter Voltage Example

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Here is how the Collector Current given Base-Emitter Voltage equation looks like with Values.

Here is how the Collector Current given Base-Emitter Voltage equation looks like with Units.

Here is how the Collector Current given Base-Emitter Voltage equation looks like.

0.1483 = 0.2 \cdot 2.015 \cdot (\exp (\frac{1.6E-19 \cdot 0.9}{1.4E-23 \cdot 20} - 1))

0.1483A = 0.2 \cdot 2.015A \cdot (\exp (\frac{1.6E-19C \cdot 0.9µV}{1.4E-23J/K \cdot 20K} - 1))

0.1483 = 0.2 \cdot 2.015 \cdot (\exp (\frac{1.6E-19 \cdot 0.9}{1.4E-23 \cdot 20} - 1))

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Collector Current given Base-Emitter Voltage Solution

Follow our step by step solution on how to calculate Collector Current given Base-Emitter Voltage?

FIRST Step Consider the formula

I cc = α \cdot I sat \cdot (\exp (\frac{[Charge-e] \cdot V BE}{[BoltZ] \cdot t o} - 1))

Next Step Substitute values of Variables

∴

I cc = 0.2 \cdot 2.015A \cdot (\exp (\frac{[Charge-e] \cdot 0.9µV}{[BoltZ] \cdot 20K} - 1))

Next Step Substitute values of Constants

∴

I cc = 0.2 \cdot 2.015A \cdot (\exp (\frac{1.6E-19C \cdot 0.9µV}{1.4E-23J/K \cdot 20K} - 1))

Next Step Convert Units

∴

I cc = 0.2 \cdot 2.015A \cdot (\exp (\frac{1.6E-19C \cdot 9E-7V}{1.4E-23J/K \cdot 20K} - 1))

Next Step Prepare to Evaluate

∴

I cc = 0.2 \cdot 2.015 \cdot (\exp (\frac{1.6E-19 \cdot 9E-7}{1.4E-23 \cdot 20} - 1))

Next Step Evaluate

∴

I cc = 0.148332854505356A

LAST Step Rounding Answer

∴

I cc = 0.1483A

Collector Current given Base-Emitter Voltage Formula Elements

Variables

Constants

Functions

Collector Current in BJTs

Collector Current in BJTs is the current flowing through the collector terminal of the transistor. It is a fundamental parameter that characterizes its behavior and performance.

Symbol: I_cc

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Collector Current in BJTs

Current Transfer Ratio

Current Transfer Ratio refers to the ratio of collector current to base current. This ratio is a crucial parameter in understanding the amplification capability of a BJT.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Current Transfer Ratio

Saturation Current

Saturation Current refers to the maximum current that can flow through the transistor when it is fully turned on.

Symbol: I_sat

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Saturation Current

Base Emitter Voltage

Base Emitter Voltage refers to the voltage drop between the base and emitter terminals of the transistor when it's in active mode.

Symbol: V_BE

Measurement: Electric PotentialUnit: µV

Note: Value should be greater than 0.

Formulas to find Base Emitter Voltage

Temperature Impurity

Temperature Impurity a base index representing the average air temperature over different timescales.

Symbol: t_o

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature Impurity

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Collector Current category

Go Collector Current when Saturation Current due to DC Voltage

I c = I sat \cdot e^{\frac{V BE}{V t}} - I SC \cdot e^{\frac{V BC}{V t}}

Go Collector Current using Leakage Current

I c = (I B \cdot β) + I ce0

Go Collector Current of PNP Transistor when Common-Emitter Current Gain

I c = β forced \cdot I B

Go Collector Current using Early Voltage for NPN Transistor

I c = I sat \cdot e^{\frac{V BC}{V t}} \cdot (1 + \frac{V CE}{V DD})

How to Evaluate Collector Current given Base-Emitter Voltage?

Collector Current given Base-Emitter Voltage evaluator uses Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1)) to evaluate the Collector Current in BJTs, The Collector Current given Base-Emitter Voltage formula is defined as the relationship between the collector current and the base-emitter voltage in a bipolar junction transistor (BJT) is typically described by the Ebers-Moll equations. Collector Current in BJTs is denoted by I_cc symbol.

How to evaluate Collector Current given Base-Emitter Voltage using this online evaluator? To use this online evaluator for Collector Current given Base-Emitter Voltage, enter Current Transfer Ratio (α), Saturation Current (I_sat), Base Emitter Voltage (V_BE) & Temperature Impurity (t_o) and hit the calculate button.

FAQs on Collector Current given Base-Emitter Voltage

What is the formula to find Collector Current given Base-Emitter Voltage?

The formula of Collector Current given Base-Emitter Voltage is expressed as Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1)). Here is an example- 0.147229 = 0.2*2.015*(exp(([Charge-e]*9E-07)/([BoltZ]*20)-1)).

How to calculate Collector Current given Base-Emitter Voltage?

With Current Transfer Ratio (α), Saturation Current (I_sat), Base Emitter Voltage (V_BE) & Temperature Impurity (t_o) we can find Collector Current given Base-Emitter Voltage using the formula - Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1)). This formula also uses Charge of electron, Boltzmann constant and Exponential Growth (exp) function(s).

Can the Collector Current given Base-Emitter Voltage be negative?

Yes, the Collector Current given Base-Emitter Voltage, measured in Electric Current can be negative.

Which unit is used to measure Collector Current given Base-Emitter Voltage?

Collector Current given Base-Emitter Voltage is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Collector Current given Base-Emitter Voltage can be measured.

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Collector Current given Base-Emitter Voltage Formula

Collector Current given Base-Emitter Voltage Example

Collector Current given Base-Emitter Voltage Solution

Collector Current given Base-Emitter Voltage Formula Elements

Other formulas in Collector Current category

How to Evaluate Collector Current given Base-Emitter Voltage?

FAQs on Collector Current given Base-Emitter Voltage

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