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JEE Main 2023 (13 Apr, Shift 1) · Junction Transistor

Junction Transistor question from JEE Main 2023 (13 Apr, Shift 1)

Q50JEE Main 2023 · 13 APR · SHIFT 1Medium

Junction Transistor

From the given transfer characteristic of a transistor in CE\text{CE} configuration, the value of power gain of this configuration is 10x10^{x}, for RB=10 kΩ\mathrm{R}_{\mathrm{B}} = 10\text{ k}\Omega, and RC=1 kΩ\mathrm{R}_{\mathrm{C}} = 1\text{ k}\Omega. The value of xx is __________.

Figure

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

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Answer: 3

  1. From the graph: β=ΔICΔIB=(20−10) mA(200−100) μA=100\beta = \dfrac{\Delta I_C}{\Delta I_B} = \dfrac{(20 - 10)\ \text{mA}}{(200 - 100)\ \mu\text{A}} = 100
  2. Power gain: Ap=β2RCRB=104×1 kΩ10 kΩ=103A_p = \beta^2 \dfrac{R_C}{R_B} = 10^4 \times \dfrac{1\ \text{k}\Omega}{10\ \text{k}\Omega} = 10^3
  3. So x=3x = 3.
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