Common Base Current Gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
α = (Av*Re/Rc)
This formula uses 4 Variables
Variables Used
Common Base Current Gain - Common Base Current Gain α is related to β common-emitter current gain of a transistor and used for calculations.
Voltage Gain - Voltage gain is defined as the ratio of the output voltage to the input voltage.
Emitter Resistance - (Measured in Ohm) - Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor.
Collector Resistance - (Measured in Ohm) - The Collector Resistancer is the opposition offered to the current passing through the collector.
STEP 1: Convert Input(s) to Base Unit
Voltage Gain: 4.21 --> No Conversion Required
Emitter Resistance: 0.067 Kilohm --> 67 Ohm (Check conversion here)
Collector Resistance: 1.01 Kilohm --> 1010 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = (Av*Re/Rc) --> (4.21*67/1010)
Evaluating ... ...
α = 0.279277227722772
STEP 3: Convert Result to Output's Unit
0.279277227722772 --> No Conversion Required
FINAL ANSWER
0.279277227722772 0.279277 <-- Common Base Current Gain
(Calculation completed in 00.020 seconds)

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8 Common-Base Amplifier Calculators

Input Resistance of Common-Base Circuit
Go Input Resistance = (Emitter Resistance*(Finite Output Resistance+Load Resistance))/(Finite Output Resistance+(Load Resistance/(Collector Base Current Gain+1)))
Total Current Gain with respect to Voltage Gain
Go Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
Negative Voltage Gain from Base to Collector
Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Common Base Current Gain
Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Input Impedance of Common-Base Amplifier
Go Input Impedance = (1/Emitter Resistance+1/Small Signal Input Resistance)^(-1)
Resistance of Emitter in Common-Base Amplifier
Go Emitter Resistance = Input Voltage/Emitter Current
Emitter Current of Common-Base Amplifier
Go Emitter Current = Input Voltage/Emitter Resistance
Voltage Gain of Common-Base Amplifier
Go Voltage Gain = Collector Voltage/Emitter Voltage

13 Common Stage Amplifiers Gain Calculators

Overall Feedback Voltage Gain of Common-Collector Amplifier
Go Overall Voltage Gain = ((Collector Base Current Gain+1)*Load Resistance)/((Collector Base Current Gain+1)*Load Resistance+(Collector Base Current Gain+1)*Emitter Resistance+Signal Resistance)
Overall Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Collector Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Source Amplifier
Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Overall Feedback Voltage Gain of Common-Emitter Amplifier
Go Feedback Voltage Gain = -Common Base Current Gain*Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance))
Total Current Gain with respect to Voltage Gain
Go Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
Open-Circuit Voltage Gain of CS Amplifier
Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Negative Voltage Gain from Base to Collector
Go Negative Voltage Gain = -Common Base Current Gain*(Collector Resistance/Emitter Resistance)
Overall Voltage Gain of Source Follower
Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)
Common Base Current Gain
Go Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
Current Gain of Controlled Source Transistor
Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Emitter Voltage with respect to Voltage Gain
Go Emitter Voltage = Collector Voltage/Voltage Gain
Voltage Gain of Common-Base Amplifier
Go Voltage Gain = Collector Voltage/Emitter Voltage
Total Voltage Gain of CS Amplifier
Go Voltage Gain = Load Voltage/Input Voltage

Common Base Current Gain Formula

Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance)
α = (Av*Re/Rc)

What is voltage gain?

The difference between the output signal voltage level in decibels and the input signal voltage level in decibels; this value is equal to 20 times the common logarithm of the ratio of the output voltage to the input voltage.

How to Calculate Common Base Current Gain?

Common Base Current Gain calculator uses Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance) to calculate the Common Base Current Gain, The 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. Common Base Current Gain is denoted by α symbol.

How to calculate Common Base Current Gain using this online calculator? To use this online calculator for Common Base Current Gain, enter Voltage Gain (Av), Emitter Resistance (Re) & Collector Resistance (Rc) and hit the calculate button. Here is how the Common Base Current Gain calculation can be explained with given input values -> 0.279277 = (4.21*67/1010).

FAQ

What is Common Base Current Gain?
The 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 and is represented as α = (Av*Re/Rc) or Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance). Voltage gain is defined as the ratio of the output voltage to the input voltage, Emitter Resistance is a dynamic resistance of the emitter-base junction diode of a transistor & The Collector Resistancer is the opposition offered to the current passing through the collector.
How to calculate Common Base Current Gain?
The 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 is calculated using Common Base Current Gain = (Voltage Gain*Emitter Resistance/Collector Resistance). To calculate Common Base Current Gain, you need Voltage Gain (Av), Emitter Resistance (Re) & Collector Resistance (Rc). With our tool, you need to enter the respective value for Voltage Gain, Emitter Resistance & Collector Resistance 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 Common Base Current Gain?
In this formula, Common Base Current Gain uses Voltage Gain, Emitter Resistance & Collector Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
  • Common Base Current Gain = Overall Voltage Gain/(Collector Resistance/Emitter Resistance*(Input Resistance/(Input Resistance+Signal Resistance)))
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