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JEE Main 2020 (6 Sep, Shift 2) · Junction Transistor

Junction Transistor question from JEE Main 2020 (6 Sep, Shift 2)

Q80JEE Main 2020 · 6 SEP · SHIFT 2Medium

Junction Transistor

The output characteristics of a transistor is shown in the figure.

When VCE is 10V and IC = 4.0 mA, then value of β\betaac is __________.

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 150

  1. At VCE=10V_{CE} = 10 V, IC=4I_C = 4 mA lies between the IB=20 μAI_B = 20\ \mu\text{A} and 30 μA30\ \mu\text{A} curves.
  2. Reading the graph: IC≈3.0I_C \approx 3.0 mA at 20 μA20\ \mu\text{A} and ≈4.5\approx 4.5 mA at 30 μA30\ \mu\text{A}, so ΔIC≈1.5\Delta I_C \approx 1.5 mA.
  3. βac=ΔICΔIB=1.5 mA10 μA=150\beta_{ac} = \dfrac{\Delta I_C}{\Delta I_B} = \dfrac{1.5\ \text{mA}}{10\ \mu\text{A}} = 150
  4. So βac=150\beta_{ac} = 150.
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