3. Assume the input to the circuit below is given by 3sin(2лft) Volts, where f-1000 Hz. What does this circuit do? What would you call this circuit? Assume the diode is ideal with FBV=0 V. Plot Vout vs. the input for two cycles. D sine 1 kHz ww 100 Q + + ww 100 Q Diode Op-amp Vout

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**Question:**

3. Assume the input to the circuit below is given by \(3\sin(2\pi ft)\) Volts, where \(f=1000 \text{ Hz}\). What does this circuit do? What would you call this circuit? Assume the diode is ideal with \(FBV=0 \text{ V}\). Plot \(V_{out}\) vs. the input for two cycles.

**Circuit Description:**

The circuit consists of:

- A sine wave generator with a frequency of 1 kHz as the input source.
- A resistor of 100 ohms connected in series with a diode.
- A diode is present in the circuit, oriented with its anode connected to the resistor and cathode towards the output.
- An operational amplifier (Op-amp) arranged in an unspecified configuration.
- Output \(V_{out}\) is taken across the Op-amp.

**Explanation:**

This circuit appears to be a basic half-wave rectifier using an op-amp. Here's how it works:

1. **Sine Wave Input:** The input is a 3 V peak sine wave with a frequency of 1 kHz.

2. **Diode Functionality:** The diode, being ideal with a forward bias voltage (FBV) of 0 V, will only allow the positive half-cycles of the sine wave to pass through, blocking the negative half-cycles.

3. **Op-amp Role:** The exact configuration of the op-amp is not specified, but it might be used to amplify or buffer the rectified signal.

**Outcome:**

The circuit functions as a **half-wave rectifier**, converting AC input into a pulsating DC output by blocking negative cycles of the input waveform.

**Graphical Explanation:**

1. **Input Signal:** A continuous sine wave oscillating between +3V and -3V.

2. **Output Signal \(V_{out}\):** Only the positive half of the sine wave is passed, appearing as a series of positive pulses every half-cycle. 

For visualization, plot the input sine wave for two cycles and show the rectified output as intermittent positive pulses corresponding to the positive half-cycles.
Transcribed Image Text:**Question:** 3. Assume the input to the circuit below is given by \(3\sin(2\pi ft)\) Volts, where \(f=1000 \text{ Hz}\). What does this circuit do? What would you call this circuit? Assume the diode is ideal with \(FBV=0 \text{ V}\). Plot \(V_{out}\) vs. the input for two cycles. **Circuit Description:** The circuit consists of: - A sine wave generator with a frequency of 1 kHz as the input source. - A resistor of 100 ohms connected in series with a diode. - A diode is present in the circuit, oriented with its anode connected to the resistor and cathode towards the output. - An operational amplifier (Op-amp) arranged in an unspecified configuration. - Output \(V_{out}\) is taken across the Op-amp. **Explanation:** This circuit appears to be a basic half-wave rectifier using an op-amp. Here's how it works: 1. **Sine Wave Input:** The input is a 3 V peak sine wave with a frequency of 1 kHz. 2. **Diode Functionality:** The diode, being ideal with a forward bias voltage (FBV) of 0 V, will only allow the positive half-cycles of the sine wave to pass through, blocking the negative half-cycles. 3. **Op-amp Role:** The exact configuration of the op-amp is not specified, but it might be used to amplify or buffer the rectified signal. **Outcome:** The circuit functions as a **half-wave rectifier**, converting AC input into a pulsating DC output by blocking negative cycles of the input waveform. **Graphical Explanation:** 1. **Input Signal:** A continuous sine wave oscillating between +3V and -3V. 2. **Output Signal \(V_{out}\):** Only the positive half of the sine wave is passed, appearing as a series of positive pulses every half-cycle. For visualization, plot the input sine wave for two cycles and show the rectified output as intermittent positive pulses corresponding to the positive half-cycles.
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