Difficulty: Easy
Correct Answer: alpha
Explanation:
Introduction:
BJT operation is often summarized by two core current ratios: alpha and beta. Engineers use them to relate terminal currents and to translate between common-base and common-emitter viewpoints. This question asks you to identify the parameter corresponding to IC / IE.
Given Data / Assumptions:
Concept / Approach:
By definition, alpha (α) = IC / IE in the common-base perspective and is slightly less than 1 because IE = IC + IB and IB is small but nonzero. The common-emitter current gain is beta (β) = IC / IB, which can be large (tens to hundreds). The two are related by β = α / (1 − α) and α = β / (β + 1).
Step-by-Step Solution:
Identify ratio: IC / IE.Recall definition: α = IC / IE.Note magnitude: since IE = IC + IB, α = IC / (IC + IB) < 1.Relate to β if needed: α = β / (β + 1).
Verification / Alternative check:
With β = 100, α = 100 / 101 ≈ 0.990, illustrating that α is close to but less than unity, consistent with physical intuition.
Why Other Options Are Wrong:
Beta: equals IC / IB, not IC / IE.Theta and omega: not standard current-gain symbols in BJTs.
Common Pitfalls:
Interchanging α and β or assuming α equals 1 exactly; small base current prevents α from being exactly unity.
Final Answer:
alpha
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