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The symbols C, D, \(V_{in}\) and \(V_{0}\) shown in the figure denote capacitor, ideal diode, input voltage and output voltage, respectively.

Input: a square wave between +3 V and -3 V. Circuit: Vin in series with capacitor C to the output terminal; diode D from ground to the output, its anode at ground and cathode at the output

Which one of the following output waveforms \((V_{0})\) is correct for the given input waveform \((V_{in})\)?

  • A.Vo against t: a square wave between 0 V and +6 V
  • B.Vo against t: triangular pulses rising from 0 V to +6 V
  • C.Vo against t: a square wave between +3 V and +6 V, with 0 V marked below
  • D.Vo against t: a square wave between -3 V and -6 V, with 0 V marked above

Answer: A

The output is a square wave between 0 V and +6 V (A).

This is a positive clamper. The diode runs from ground (anode) to the output (cathode), so it conducts whenever the output tries to go below 0 V. During the -3 V half of the input the diode conducts and the capacitor charges to 3 V, with its output side 3 V above its input side. Afterwards the diode stays off and the capacitor simply adds 3 V to the input:

\[ \begin{aligned} V_{0} &= V_{in} + 3\ \text{V} \\ -3\ \text{V} &\to 0\ \text{V}, \quad +3\ \text{V} \to +6\ \text{V} \end{aligned} \]

The shape of the input is preserved, so triangular pulses (B) are wrong. A wave between +3 V and +6 V (C) has the wrong shift and amplitude, and a wave between -3 V and -6 V (D) is what a clamper with the diode reversed would give, and with a halved swing.

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