GATE EC 2024 Set 1 — Question 50
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Digital Circuits → Combinational Logic → Priority Encoders
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Question
In the circuit below, the opamp is ideal.
📷 Figure: Op-amp circuit. Resistor R from the inverting (−) input to ground and resistor R1 from the inverting input to the output. The output drives a series capacitor C to a node that has resistor R to ground; from that node a series resistor R goes to a second node that has capacitor C to ground. The second node is connected back to the non-inverting (+) input.
If the circuit is to show sustained oscillations, the respective values of and the corresponding frequency of oscillation are _____.Correct answer
(B) 2R and 1/(2π RC)
Solution
Amplifier. The op-amp with (to ground) and (feedback) is a non-inverting amplifier:Feedback network. Let be the op-amp output, the node after the series (with to ground) and the node after the series (with to ground); feeds the input. Put .
- KCL at : .
- KCL at : .
- (A), (C): and belong to the three-section RC phase-shift oscillator, not this network.
- (D): correct but wrong frequency.
- (B): and .
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