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For the Op-Amp circuit shown below, choose the correct output waveform corresponding to the input \(V_{in} = 1.5\sin 20\pi t\) (in Volts). The saturation voltage for this circuit is \(V_{sat} = \pm 10\) V.

Op-amp with Vin at the inverting input; the output is fed back through 20 kilohm to the non-inverting input, which goes to ground through 2.2 kilohm

  • A.Square wave of \(V_{\mathrm{out}}\) switching between +10 V and −10 V
  • B.Constant \(V_{\mathrm{out}}\) of +10 V
  • C.Sine wave of \(V_{\mathrm{out}}\) with amplitude 10 V
  • D.Constant \(V_{\mathrm{out}}\) of 0 V

Answer: A

The output is (A), a square wave switching between +10 V and −10 V.

The input goes to the inverting terminal and the output is fed back to the non-inverting terminal through the 20 kΩ/2.2 kΩ divider. That is positive feedback, so the circuit is an inverting Schmitt trigger: the output sits at +10 V or −10 V. The switching thresholds are the fed-back fraction of the output:

\[ \begin{aligned} V_{T} &= \pm 10 \times \frac{2.2}{2.2 + 20} \\ &\approx \pm 0.99\ \text{V} \end{aligned} \]

The 1.5 V peak input crosses both thresholds every cycle, so the output flips between the two saturation levels at the input frequency (10 Hz), producing a square wave.

A constant +10 V would mean the input never reached the threshold, which it does. A sine of amplitude 10 would need linear negative feedback, and 0 V would need no gain at all.

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