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Q#1 OP-AMP and its Applications GATE EC 2024 MCQ +2 marks -0.66 marks

The opamps in the circuit shown are ideal, but have saturation voltages of .

Assume that the initial inductor current is . The input voltage  is a triangular signal with peak voltages of  and time period of . Which one of the following statements is true?

 is delayed by  relative to , and  is a triangular waveform.

 is not delayed relative to , and  is a trapezoidal waveform.

 is not delayed relative to , and  is a triangular waveform.

 is delayed by  relative to , and  is a trapezoidal waveform.

Explanation:

OPA1non-inverting Schmitt trigger

By Voltage Division Rule,

  

At UTP and LTP, Inverting and Non-Inverting Terminals would have equal voltage

 

For

Hence, we can draw wave form like,

Hence,  is delayed las w.r.t .

Only from here we can say option (d) is correct. But to complete analysis

Now, for OPA2,

 

  

 

As  is a square wave, we can take it as constant in each period.

Initially .

If we take  in ,

 

Now, if

Then,

Hence,  

Now, at

Now, if

 

From  to ,  is fixed

Hence, we get a trapezoidal waveform in steady state.

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