Common Collector Current Gain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Common Collector Current Gain = Base Transport Factor+1
Ai = β+1
This formula uses 2 Variables
Variables Used
Common Collector Current Gain - Common Collector Current Gain is defined as the ratio of the emitter current to the base current.
Base Transport Factor - Base Transport Factor is defined as the factor of base current required to transfer emitter current to the collector of the BJT transistor.
STEP 1: Convert Input(s) to Base Unit
Base Transport Factor: 2.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ai = β+1 --> 2.5+1
Evaluating ... ...
Ai = 3.5
STEP 3: Convert Result to Output's Unit
3.5 --> No Conversion Required
FINAL ANSWER
3.5 <-- Common Collector Current Gain
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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13 Transistor Operating Parameters Calculators

Drain Current
Go Drain Current = Mobility of Electron*Gate Oxide Capacitance*(Gate Junction Width/Gate Length)*(Gate Source Voltage- Threshold Voltage)*Drain Source Saturation Voltage
Emitter Efficiency
Go Emitter Efficiency = Electron Diffusion Current/(Electron Diffusion Current+Hole Diffusion Current)
Base Current using Current Amplification Factor
Go Base Current = Emitter Current*(1-Current Amplification Factor)-Collector Base Leakage Current
Collector-Emitter Voltage
Go Collector Emitter Voltage = Common Collector Voltage-Collector Current*Collector Resistance
Collector to Emitter Leakage Current
Go Collector Emitter Leakage Current = (Base Transport Factor+1)*Collector Base Leakage Current
Current Amplification Factor using Base Transport Factor
Go Current Amplification Factor = Base Transport Factor/(Base Transport Factor+1)
Collector Current using Current Amplification Factor
Go Collector Current = Current Amplification Factor*Emitter Current
Current Amplification Factor
Go Current Amplification Factor = Collector Current/Emitter Current
Collector Current using Base Transport Factor
Go Collector Current = Base Transport Factor*Base Current
Base Transport Factor
Go Base Transport Factor = Collector Current/Base Current
Emitter Current
Go Emitter Current = Base Current+Collector Current
Common Collector Current Gain
Go Common Collector Current Gain = Base Transport Factor+1
Dynamic Emitter Resistance
Go Dynamic Emitter Resistance = 0.026/Emitter Current

Common Collector Current Gain Formula

Common Collector Current Gain = Base Transport Factor+1
Ai = β+1

How the common collector current gain is obtained?

The common-emitter amplifier configuration has a current gain equal to the β of the transistor, the input current went through the base and the output (load) current went through the collector, and β by definition is the ratio between the collector and base currents. In the common-collector configuration, though, the load is situated in series with the emitter, and thus its current is equal to the emitter current. With the emitter carrying collector current and base current, the load in this type of amplifier has all the current of the collector running through it plus the input current of the base. This yields a current gain of β plus 1.

How to Calculate Common Collector Current Gain?

Common Collector Current Gain calculator uses Common Collector Current Gain = Base Transport Factor+1 to calculate the Common Collector Current Gain, Common Collector Current Gain is defined as the ratio of the emitter current to the base current. Common Collector Current Gain is denoted by Ai symbol.

How to calculate Common Collector Current Gain using this online calculator? To use this online calculator for Common Collector Current Gain, enter Base Transport Factor (β) and hit the calculate button. Here is how the Common Collector Current Gain calculation can be explained with given input values -> 3.5 = 2.5+1.

FAQ

What is Common Collector Current Gain?
Common Collector Current Gain is defined as the ratio of the emitter current to the base current and is represented as Ai = β+1 or Common Collector Current Gain = Base Transport Factor+1. Base Transport Factor is defined as the factor of base current required to transfer emitter current to the collector of the BJT transistor.
How to calculate Common Collector Current Gain?
Common Collector Current Gain is defined as the ratio of the emitter current to the base current is calculated using Common Collector Current Gain = Base Transport Factor+1. To calculate Common Collector Current Gain, you need Base Transport Factor (β). With our tool, you need to enter the respective value for Base Transport Factor 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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