Collector Current given Base-Emitter Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1))
Icc = α*Isat*(exp(([Charge-e]*VBE)/([BoltZ]*to)-1))
This formula uses 2 Constants, 1 Functions, 5 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Collector Current in BJTs - (Measured in Ampere) - 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.
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.
Saturation Current - (Measured in Ampere) - Saturation Current refers to the maximum current that can flow through the transistor when it is fully turned on.
Base Emitter Voltage - (Measured in Volt) - Base Emitter Voltage refers to the voltage drop between the base and emitter terminals of the transistor when it's in active mode.
Temperature Impurity - (Measured in Kelvin) - Temperature Impurity a base index representing the average air temperature over different timescales.
STEP 1: Convert Input(s) to Base Unit
Current Transfer Ratio: 0.2 --> No Conversion Required
Saturation Current: 2.015 Ampere --> 2.015 Ampere No Conversion Required
Base Emitter Voltage: 0.9 Microvolt --> 9E-07 Volt (Check conversion ​here)
Temperature Impurity: 20 Kelvin --> 20 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Icc = α*Isat*(exp(([Charge-e]*VBE)/([BoltZ]*to)-1)) --> 0.2*2.015*(exp(([Charge-e]*9E-07)/([BoltZ]*20)-1))
Evaluating ... ...
Icc = 0.148332854505356
STEP 3: Convert Result to Output's Unit
0.148332854505356 Ampere --> No Conversion Required
FINAL ANSWER
0.148332854505356 0.148333 Ampere <-- Collector Current in BJTs
(Calculation completed in 00.020 seconds)

Credits

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Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
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Verified by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
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Collector Current Calculators

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​ LaTeX ​ Go Collector Current = Saturation Current*e^(Base-Collector Voltage/Thermal Voltage)*(1+Collector-Emitter Voltage/Supply Voltage)
Collector Current using Leakage Current
​ LaTeX ​ Go Collector Current = (Base Current*Common Emitter Current Gain)+Collector Emitter Leakage Current
Collector Current of PNP Transistor when Common-Emitter Current Gain
​ LaTeX ​ Go Collector Current = Forced Common-Emitter Current Gain*Base Current

Collector Current given Base-Emitter Voltage Formula

​LaTeX ​Go
Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1))
Icc = α*Isat*(exp(([Charge-e]*VBE)/([BoltZ]*to)-1))

What is the significance of the base-emitter voltage in determining the collector current?

base-emitter voltage is the voltage applied across the base-emitter junction. The Ebers-Moll equation shows that as base-emitter voltage increases, the collector current also increases exponentially.

How to Calculate Collector Current given Base-Emitter Voltage?

Collector Current given Base-Emitter Voltage calculator uses Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1)) to calculate 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 Icc symbol.

How to calculate Collector Current given Base-Emitter Voltage using this online calculator? To use this online calculator for Collector Current given Base-Emitter Voltage, enter Current Transfer Ratio (α), Saturation Current (Isat), Base Emitter Voltage (VBE) & Temperature Impurity (to) and hit the calculate button. Here is how the Collector Current given Base-Emitter Voltage calculation can be explained with given input values -> 0.147229 = 0.2*2.015*(exp(([Charge-e]*9E-07)/([BoltZ]*20)-1)).

FAQ

What is Collector Current given Base-Emitter Voltage?
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 and is represented as Icc = α*Isat*(exp(([Charge-e]*VBE)/([BoltZ]*to)-1)) or Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1)). 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, Saturation Current refers to the maximum current that can flow through the transistor when it is fully turned on, Base Emitter Voltage refers to the voltage drop between the base and emitter terminals of the transistor when it's in active mode & Temperature Impurity a base index representing the average air temperature over different timescales.
How to calculate Collector Current given Base-Emitter Voltage?
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 is calculated using Collector Current in BJTs = Current Transfer Ratio*Saturation Current*(exp(([Charge-e]*Base Emitter Voltage)/([BoltZ]*Temperature Impurity)-1)). To calculate Collector Current given Base-Emitter Voltage, you need Current Transfer Ratio (α), Saturation Current (Isat), Base Emitter Voltage (VBE) & Temperature Impurity (to). With our tool, you need to enter the respective value for Current Transfer Ratio, Saturation Current, Base Emitter Voltage & Temperature Impurity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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