GATE EC 2022 Set 1 — Question 41
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Analog Circuits → Op-Amp Circuits → Schmitt Trigger & Comparators
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Question
For the following circuit with an ideal OPAMP, the difference between the maximum and the minimum values of the capacitor voltage () is __________.

Correct answer
(C) 13 V
Solution
The circuit is a relaxation oscillator using an ideal OPAMP as a comparator with hysteresis. The output switches between the saturation levels and . In practical OPAMPs like the one implied here, the saturation voltage is typically below the rail voltages, so and . The capacitor voltage is connected to the inverting terminal and oscillates between the two threshold voltages and at the non-inverting terminal.
1.When , the top diode is forward-biased and the bottom diode is reverse-biased. The threshold is calculated using KCL at the non-inverting node:
2.When , the bottom diode is forward-biased and the top diode is reverse-biased. The threshold is:
The difference between the maximum and minimum values of is .Continue learning with Success Tracker
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