JEE Physics · Hard

Semiconductors: Transistor — Saturation Check MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Transistor — Saturation CheckHardQuestion 20258

Question

A BJT with β = 200 has I_B = 60 μA and V_CC = 9 V, R_C = 1 kΩ. Is it in saturation?
  1. A
    No — I_C = 12 mA would exceed I_C,sat = 9 mA, so yes, saturated
    Correct
  2. B
    Yes and V_CE = 0
  3. C
    No — active region
  4. D
    Yes — V_CE = 9 V

Correct answer

No — I_C = 12 mA would exceed I_C,sat = 9 mA, so yes, saturated

Explanation

Active I_C = β×I_B = 200×60μA = 12 mA. Maximum possible: I_C,sat = V_CC/R_C = 9/1000 = 9 mA. Actual I_B required for saturation: I_B,sat = I_C,sat/β = 9mA/200 = 45 μA < 60 μA. Since I_B > I_B,sat → transistor is saturated. V_CE,sat ≈ 0.2 V.