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JEE Main 2019 (12 Apr, Shift 1) · Junction Transistor

Junction Transistor question from JEE Main 2019 (12 Apr, Shift 1)

Q87JEE Main 2019 · 12 APR · SHIFT 1Medium

Junction Transistor

The transfer characteristic curve of a transistor, having input and output resistance 100 Ω\Omega and 100 kΩ\Omega respectively is shown in the figure. The voltage and power gain, are respectively:

Figure

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Answer: (c)

  1. From the graph: β=ΔICΔIB=(10−5) mA(200−100) μA=50\beta = \dfrac{\Delta I_C}{\Delta I_B} = \dfrac{(10 - 5)\ \text{mA}}{(200 - 100)\ \mu\text{A}} = 50
  2. Voltage gain: Av=βRoRi=50×100 kΩ100 Ω=5×104A_v = \beta \dfrac{R_o}{R_i} = 50 \times \dfrac{100\ \text{k}\Omega}{100\ \Omega} = 5 \times 10^4
  3. Power gain: Ap=βAv=50×5×104=2.5×106A_p = \beta A_v = 50 \times 5 \times 10^4 = 2.5 \times 10^6
  4. So the answer is (c) 5×1045 \times 10^4, 2.5×1062.5 \times 10^6.
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