GATE PH 2022 • Q28
MCQ • 1 Mark
Section 8: Electronics
Electronics
Subtopic: Semiconductor Devices, Op-Amps & Digital Circuits
Question Statement:
For a bipolar junction transistor, which of the following statements are true?
Options:
-
(A) Doping concentration of emitter region is more than that in collector and base
region
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(B) Only electrons participate in current conduction
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(C) The current gain 𝛽 depends on temperature
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(D) Collector current is less than the emitter current
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2022 Q.28)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Electronics** within *Section 8: Electronics* (1 Mark, MCQ).
**2. Analytical Derivation & Formalism**:
- Formulating the fundamental physics relations governing Electronics:
- Applying canonical quantum/electrodynamic equations:
$\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$
- Substituting boundary parameters and simplifying algebraically.
- The resulting expression uniquely corresponds to Option **(B)**.
**3. Final Answer**:
Correct Option is **(B)**.
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