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JEE Main 2019 (9 Apr, Shift 1) · Junction Transistor

Junction Transistor question from JEE Main 2019 (9 Apr, Shift 1)

Q86JEE Main 2019 · 9 APR · SHIFT 1Medium

Junction Transistor

An NPN transistor is used in common emitter configuration as an amplifier with 1 kΩ\Omega load resistance. Signal voltage of 10 mV is applied across the base-emitter. This produces a 3 mA change in the collector current and 15μA change in the base current of the amplifier. The input resistance and voltage gain are:

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Answer: (c)

  1. Input resistance: ri=ΔVBEΔIB=10 mV15 μA=0.67 kΩr_i = \dfrac{\Delta V_{BE}}{\Delta I_B} = \dfrac{10\ \text{mV}}{15\ \mu\text{A}} = 0.67\ \text{k}\Omega
  2. Output voltage change: ΔVo=ΔICRL=3 mA×1 kΩ=3 V\Delta V_o = \Delta I_C R_L = 3\ \text{mA} \times 1\ \text{k}\Omega = 3\ \text{V}
  3. Voltage gain: Av=3 V10 mV=300A_v = \dfrac{3\ \text{V}}{10\ \text{mV}} = 300
  4. So the answer is (c) 0.67 kΩ0.67\ \text{k}\Omega, 300.
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