Base Current using Saturation Current in DC Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage)
IB = (Isat/β)*e^(VBC/Vt)+es*e^(VBC/Vt)
This formula uses 1 Constants, 6 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Base Current - (Measured in Ampere) - Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.
Saturation Current - (Measured in Ampere) - Saturation Current is the diode leakage current density in the absence of light. It is an important parameter which differentiates one diode from another.
Common Emitter Current Gain - Common emitter current gain is influenced by 2 factors: width of base region W, and relative dopings of base region and emitter region. Its range varies from 50-200.
Base-Collector Voltage - (Measured in Volt) - Base-Collector Voltage is the electric potential between the base and collector region of a transistor.
Thermal Voltage - (Measured in Volt) - Thermal Voltage is the voltage produced within the p-n junction.
Saturation Vapour Pressure - (Measured in Pascal) - Saturation Vapour Pressure at Water Surface (mm of mercury) is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature.
STEP 1: Convert Input(s) to Base Unit
Saturation Current: 1.675 Milliampere --> 0.001675 Ampere (Check conversion here)
Common Emitter Current Gain: 65 --> No Conversion Required
Base-Collector Voltage: 2 Volt --> 2 Volt No Conversion Required
Thermal Voltage: 4.7 Volt --> 4.7 Volt No Conversion Required
Saturation Vapour Pressure: 17.54 Millimeter Mercury (0 °C) --> 2338.46788 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
IB = (Isat/β)*e^(VBC/Vt)+es*e^(VBC/Vt) --> (0.001675/65)*e^(2/4.7)+2338.46788*e^(2/4.7)
Evaluating ... ...
IB = 3578.80121683189
STEP 3: Convert Result to Output's Unit
3578.80121683189 Ampere -->3578801.21683189 Milliampere (Check conversion here)
FINAL ANSWER
3578801.21683189 3.6E+6 Milliampere <-- Base Current
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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14 Base Current Calculators

Base Current using Saturation Current in DC
Go Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage)
Saturation Current using Doping Concentration
Go Saturation Current = (Cross-section Area of Base-Emitter Junction*[Charge-e]*Electron Diffusivity*(Intrinsic Carrier Concentration)^2)/(Width of Base Junction*Doping Concentration of Base)
Short Circuit Current Gain of BJT
Go Short-Circuit Current Gain = (Common-Emitter Current Gain at Low Frequency)/(1+Complex Frequency Variable*(Emitter-Base Capacitance+Collector-Base Junction Capacitance)*Input Resistance)
Drain Current given Device Parameter
Go Drain Current = 1/2*Transconductance*Aspect Ratio*(Effective Voltage-Threshold Voltage)^2*(1+Device Parameter*Voltage between Drain and Source)
Base Current 2 of BJT
Go Base Current = (Saturation Current/Common Emitter Current Gain)*(e^(Base-Emitter Voltage/Thermal Voltage))
Base Current of PNP Transistor using Saturation Current
Go Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Emitter Voltage/Thermal Voltage)
Reference Current of BJT Mirror
Go Reference Current = Collector Current+(2*Collector Current)/Common Emitter Current Gain
Reference Current of BJT Current Mirror
Go Reference Current = (Supply Voltage-Base-Emitter Voltage)/Resistance
Reference Current of BJT Mirror given Collector Current
Go Reference Current = Collector Current*(1+2/Common Emitter Current Gain)
Base Current of PNP Transistor given Emitter Current
Go Base Current = Emitter Current/(Common Emitter Current Gain+1)
Base Current of PNP Transistor using Collector Current
Go Base Current = Collector Current/Common Emitter Current Gain
Base Current 1 of BJT
Go Base Current = Collector Current/Common Emitter Current Gain
Base Current of PNP Transistor using Common-Base Current Gain
Go Base Current = (1-Common-Base Current Gain)*Emitter Current
Total Base Current
Go Base Current = Base Current 1+Base Current 2

Base Current using Saturation Current in DC Formula

Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage)
IB = (Isat/β)*e^(VBC/Vt)+es*e^(VBC/Vt)

Why is the base current in a transistor very small?

The base collected junction a transistor is reverse biased. Hence more than 98% of emitter current reaches the collector. A very small amount of charge carriers do not reach the collector and flows into the base circuit constituting base current ( less than 2%).

How to Calculate Base Current using Saturation Current in DC?

Base Current using Saturation Current in DC calculator uses Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage) to calculate the Base Current, The Base current using saturation current in DC a common-base (also known as grounded-base) amplifier is one of three basic single-stage bipolar junction transistor (BJT) amplifier typologies, typically used as a current buffer or voltage amplifier. Base Current is denoted by IB symbol.

How to calculate Base Current using Saturation Current in DC using this online calculator? To use this online calculator for Base Current using Saturation Current in DC, enter Saturation Current (Isat), Common Emitter Current Gain (β), Base-Collector Voltage (VBC), Thermal Voltage (Vt) & Saturation Vapour Pressure (es) and hit the calculate button. Here is how the Base Current using Saturation Current in DC calculation can be explained with given input values -> 3.6E+9 = (0.001675/65)*e^(2/4.7)+2338.46788*e^(2/4.7).

FAQ

What is Base Current using Saturation Current in DC?
The Base current using saturation current in DC a common-base (also known as grounded-base) amplifier is one of three basic single-stage bipolar junction transistor (BJT) amplifier typologies, typically used as a current buffer or voltage amplifier and is represented as IB = (Isat/β)*e^(VBC/Vt)+es*e^(VBC/Vt) or Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage). Saturation Current is the diode leakage current density in the absence of light. It is an important parameter which differentiates one diode from another, Common emitter current gain is influenced by 2 factors: width of base region W, and relative dopings of base region and emitter region. Its range varies from 50-200, Base-Collector Voltage is the electric potential between the base and collector region of a transistor, Thermal Voltage is the voltage produced within the p-n junction & Saturation Vapour Pressure at Water Surface (mm of mercury) is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature.
How to calculate Base Current using Saturation Current in DC?
The Base current using saturation current in DC a common-base (also known as grounded-base) amplifier is one of three basic single-stage bipolar junction transistor (BJT) amplifier typologies, typically used as a current buffer or voltage amplifier is calculated using Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Collector Voltage/Thermal Voltage)+Saturation Vapour Pressure*e^(Base-Collector Voltage/Thermal Voltage). To calculate Base Current using Saturation Current in DC, you need Saturation Current (Isat), Common Emitter Current Gain (β), Base-Collector Voltage (VBC), Thermal Voltage (Vt) & Saturation Vapour Pressure (es). With our tool, you need to enter the respective value for Saturation Current, Common Emitter Current Gain, Base-Collector Voltage, Thermal Voltage & Saturation Vapour Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Base Current?
In this formula, Base Current uses Saturation Current, Common Emitter Current Gain, Base-Collector Voltage, Thermal Voltage & Saturation Vapour Pressure. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Base Current = Collector Current/Common Emitter Current Gain
  • Base Current = (Saturation Current/Common Emitter Current Gain)*(e^(Base-Emitter Voltage/Thermal Voltage))
  • Base Current = Base Current 1+Base Current 2
  • Base Current = Collector Current/Common Emitter Current Gain
  • Base Current = (Saturation Current/Common Emitter Current Gain)*e^(Base-Emitter Voltage/Thermal Voltage)
  • Base Current = (1-Common-Base Current Gain)*Emitter Current
  • Base Current = Emitter Current/(Common Emitter Current Gain+1)
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