Understanding Current Gain in CE Mode
In a common emitter (CE) mode configuration, the current gain (β) of a transistor is a crucial parameter that indicates how effectively the transistor can amplify an input current.
Current Gain (β)
The current gain (β) is defined as the ratio of the collector current (Ic) to the base current (Ib):
- Formula: β = Ic / Ib
Given Values
- Base current (Ib) = 50 µA = 0.050 mA
- Collector current (Ic) = 25 mA
Calculating Current Gain
1. Substituting the Values:
- β = Ic / Ib
- β = 25 mA / 0.050 mA
2. Performing the Calculation:
- β = 25 / 0.050 = 500
Interpretation of Current Gain
- A current gain (β) of 500 indicates that the transistor can amplify the base current by 500 times to produce the collector current.
- This high β value signifies that even a small input current can control a much larger output current, which is essential for amplification in electronic circuits.
Conclusion
In summary, the current gain (β) in this CE mode configuration is 500, illustrating the transistor's effectiveness in amplifying the base current to achieve a significantly larger collector current. This property is what makes transistors fundamental components in various electronic applications.