GATE EC 2024 Set 1 — Question 52
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Question
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(A) Under high-level injection condition in forward active mode, β will decrease with increase in the magnitude of collector current.; (C) β will be lower when the BJT is in saturation region compared to when it is in active region.; (D) A higher value of β will lead to a lower value of the collector-to-emitter breakdown voltage.
Solution
- (A) True. At high-level injection the injected minority-carrier density becomes comparable to the base doping (Webster effect / base conductivity modulation, plus Kirk effect), so the emitter injection efficiency drops and falls as increases.
- (B) False. At low currents the base current is dominated by space-charge recombination in the E-B depletion region, , while . Hence increases with in this regime.
- (C) True. In saturation the collector-base junction is also forward biased; the base must supply extra current, so .
- (D) True. Open-base breakdown is set by avalanche multiplication amplified by the transistor gain: , so a larger gives a lower .
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