Common-Emitter Current Gain using Common-Base Current Gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain)
β = α/(1-α)
This formula uses 2 Variables
Variables Used
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.
Common-Base Current Gain - Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons.
STEP 1: Convert Input(s) to Base Unit
Common-Base Current Gain: 0.985 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = α/(1-α) --> 0.985/(1-0.985)
Evaluating ... ...
β = 65.6666666666666
STEP 3: Convert Result to Output's Unit
65.6666666666666 --> No Conversion Required
FINAL ANSWER
65.6666666666666 65.66667 <-- Common Emitter Current Gain
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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16 Amplification Factor/Gain Calculators

Amplification Factor of BJT
​ Go BJT Amplification Factor = (Collector Current/Threshold Voltage)*((Positive DC Voltage+Collector-Emitter Voltage)/Collector Current)
Overall Voltage Gain of Amplifier when Load Resistance is Connected to Output
​ Go Voltage Gain = Common-Base Current Gain*(1/Collector Resistance+1/Load Resistance)^-1/(Signal Resistance+Emitter Resistance)
Overall Voltage Gain of Buffer Amplifier given Load Resistance
​ Go Voltage Gain = Load Resistance/(Load Resistance+Emitter Resistance+Signal Resistance/(Common Emitter Current Gain+1))
Overall Voltage Gain given Load Resistance of BJT
​ Go Voltage Gain = -Transconductance*((Collector Resistance*Load Resistance)/(Collector Resistance+Load Resistance))
Common Mode Gain of BJT
​ Go Common Mode Gain = -(Collector Resistance/(2*Output Resistance))*(Change in Collector Resistance/Collector Resistance)
Total Power Dissipated in BJT
​ Go Power = Collector-Emitter Voltage*Collector Current+Base-Emitter Voltage*Base Current
Voltage Gain given all Voltages
​ Go Voltage Gain = -(Supply Voltage-Collector-Emitter Voltage)/Thermal Voltage
Voltage Gain given Collector Current
​ Go Voltage Gain = -(Collector Current/Thermal Voltage)*Collector Resistance
Total Power Supplied in BJT
​ Go Power = Supply Voltage*(Collector Current+Input Current)
Common-Base Current Gain
​ Go Common-Base Current Gain = Common Emitter Current Gain/(Common Emitter Current Gain+1)
Common-Emitter Current Gain using Common-Base Current Gain
​ Go Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain)
Open Circuit Voltage Gain given Open Circuit Transresistance
​ Go Open Circuit Voltage Gain = Open Circuit Transresistance/Input Resistance
Forced Common-Emitter Current Gain
​ Go Forced Common-Emitter Current Gain = Collector Current/Base Current
Voltage Gain given Transconductance and Collector Resistance
​ Go Voltage Gain = -Transconductance*Collector Resistance
Intrinsic Gain of BJT
​ Go Intrinsic Gain = Early Voltage/Thermal Voltage
Short-Circuit Current Gain
​ Go Current Gain = Output Current/Input Current

Common-Emitter Current Gain using Common-Base Current Gain Formula

Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain)
β = α/(1-α)

On what factors current gain of common-emitter depends?

The current gain in the common-emitter circuit is obtained from the base and the collector circuit currents. Because a very small change in base current produces a large change in collector current, the current gain (β) is always greater than unity for the common-emitter circuit, a typical value is about 50.

How to Calculate Common-Emitter Current Gain using Common-Base Current Gain?

Common-Emitter Current Gain using Common-Base Current Gain calculator uses Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain) to calculate the Common Emitter Current Gain, The Common-emitter current gain using common-base current gain is defined as the ratio of output current or collector current (IC) to the input current or base current (IB). The current gain of a transistor in CE configuration is high. Therefore, the transistor in the CE configuration is used for amplifying the current. Common Emitter Current Gain is denoted by β symbol.

How to calculate Common-Emitter Current Gain using Common-Base Current Gain using this online calculator? To use this online calculator for Common-Emitter Current Gain using Common-Base Current Gain, enter Common-Base Current Gain (α) and hit the calculate button. Here is how the Common-Emitter Current Gain using Common-Base Current Gain calculation can be explained with given input values -> 65.66667 = 0.985/(1-0.985).

FAQ

What is Common-Emitter Current Gain using Common-Base Current Gain?
The Common-emitter current gain using common-base current gain is defined as the ratio of output current or collector current (IC) to the input current or base current (IB). The current gain of a transistor in CE configuration is high. Therefore, the transistor in the CE configuration is used for amplifying the current and is represented as β = α/(1-α) or Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain). Common-base current gain α is related to β common-emitter current gain and its value is less than 1 because collector current is always less than emitter current due to recombination of electrons.
How to calculate Common-Emitter Current Gain using Common-Base Current Gain?
The Common-emitter current gain using common-base current gain is defined as the ratio of output current or collector current (IC) to the input current or base current (IB). The current gain of a transistor in CE configuration is high. Therefore, the transistor in the CE configuration is used for amplifying the current is calculated using Common Emitter Current Gain = Common-Base Current Gain/(1-Common-Base Current Gain). To calculate Common-Emitter Current Gain using Common-Base Current Gain, you need Common-Base Current Gain (α). With our tool, you need to enter the respective value for Common-Base Current Gain 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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