GATE EC 2022 Set 1 — Question 57
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Electronic Devices → BJT → Intrinsic & Extrinsic Semiconductors
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Question
A circuit and the characteristics of the diode (D) in it are shown. The ratio of the minimum to the maximum small signal voltage gain is ________ (rounded off to two decimal places).
📷 Figure: Circuit: V_in through 2 kΩ to node V_out; from V_out a 2 kΩ resistor and diode D (anode at V_out) in parallel to a node that connects through 2 kΩ to ground; diode I-V characteristic with zero current below 0.7 V and vertical rise at V_D = 0.7 V
Correct answer
0.7 to 0.8
Solution
The diode is ideal with a cut-in of 0.7 V: open for V, a constant 0.7 V drop (zero incremental resistance) once conducting.Diode OFF (the three 2 k resistors in series): The diode voltage is the drop across the middle resistor, , so this holds for V (including all negative inputs, where D is reverse biased).Diode ON ( V): D holds the middle resistor at a constant 0.7 V, so incrementally it is shorted. KCL at :Ratio:Answer: 0.75
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