The resulting change in the emitter current for change in the collecto...
Understanding Emitter and Collector Currents
When analyzing a transistor, particularly a BJT (Bipolar Junction Transistor), the relationship between emitter current (IE), collector current (IC), and the common base current gain (alpha) is crucial.
Key Relationships
- The collector current (IC) can be expressed as:
IC = alpha * IE
- The emitter current (IE) is related to collector current (IC) and base current (IB) as:
IE = IC + IB
From the relationship of these currents, we know:
- IE = IC / alpha
Given Data
- Change in collector current (ΔIC) = 2 mA
- Alpha (α) = 0.98
Calculating the Change in Emitter Current
1. Determine the Change in Base Current (IB):
- IB can be calculated using:
IB = IC * (1 - alpha) / alpha
However, since we need the change in emitter current for a change in collector current, we can simplify our approach:
2. Calculate the Change in Emitter Current (ΔIE):
- Using the formula:
ΔIE = ΔIC / alpha
- Substitute the values:
ΔIE = 2 mA / 0.98
3. Result:
- ΔIE = 2.04 mA (approximately)
Conclusion
Thus, the resulting change in the emitter current for a change in collector current of 2 mA, given alpha = 0.98, is approximately 2.04 mA. The correct answer is (b) 2.04 mA.