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* VD R { C Vi Figure 1. The diode peak detector circuit. 1. The input voltage in the diode peak detector is al10V amplitude, cosinusoidal voltage signal with a frequency of 1kHz. Assume that the capacitor C = 10µF. Calculate the value of the resistor, R, to give a circuit time constant of 2ms when the diode operates in reverse bias.

* VD R { C Vi Figure 1. The diode peak detector circuit. 1. The input voltage in the diode peak detector is al10V amplitude, cosinusoidal voltage signal with a frequency of 1kHz. Assume that the capacitor C = 10µF. Calculate the value of the resistor, R, to give a circuit time constant of 2ms when the diode operates in reverse bias.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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PRELAB EXERCISES' + R C= VC Vi Figure 1. The diode peak detector circuit. 1. The input voltage in the diode peak detector is al10V amplitude, cosinusoidal voltage signal with a frequency of 1kHz. Assume that the capacitor C = 10µF. Calculate the value of the resistor, R, to give a circuit time constant of 2ms when the diode operates in reverse bias. 2. In your laboratory notebook, sketch the expected capacitor voltage, vɖt), over two complete periods of the input voltage, v, (f). Hint: see EE2013 Lecture 3. 3. For the input voltage parameters in Pre-lab exercise 1, calculate the first positive time (ton, where ton> 0) when the diode turns on. To solve for ton, you will need to solve an implicit equation which equates a first-order time-decaying voltage to a sinusoidal input voltage. The easiest way to accomplish this is to numerically test time-points (e.g., using Matlab, Excel or your calculator and a sheet of paper) that you expect to be close to the 'cross-over’ time (which will be less that 1 period) and see which time-point most closely approximates the equation. Bear in mind that ton is the first non-zero time-point when the decaying capacitor voltage and the cosinusoidal input intersect. 4. What is the corresponding capacitor voltage at the time; i.e., vɖton). You can find this using either the input signal or the capacitor voltage. 5. As a design task, you have been requested to decrease the ripple voltage in the capacitor (i.e., the difference between v(ton) and the input amplitude) by adjusing the value of the resistor, R. Should you increase or decrease R to accomplish your task?
Transcribed Image Text:PRELAB EXERCISES' + R C= VC Vi Figure 1. The diode peak detector circuit. 1. The input voltage in the diode peak detector is al10V amplitude, cosinusoidal voltage signal with a frequency of 1kHz. Assume that the capacitor C = 10µF. Calculate the value of the resistor, R, to give a circuit time constant of 2ms when the diode operates in reverse bias. 2. In your laboratory notebook, sketch the expected capacitor voltage, vɖt), over two complete periods of the input voltage, v, (f). Hint: see EE2013 Lecture 3. 3. For the input voltage parameters in Pre-lab exercise 1, calculate the first positive time (ton, where ton> 0) when the diode turns on. To solve for ton, you will need to solve an implicit equation which equates a first-order time-decaying voltage to a sinusoidal input voltage. The easiest way to accomplish this is to numerically test time-points (e.g., using Matlab, Excel or your calculator and a sheet of paper) that you expect to be close to the 'cross-over’ time (which will be less that 1 period) and see which time-point most closely approximates the equation. Bear in mind that ton is the first non-zero time-point when the decaying capacitor voltage and the cosinusoidal input intersect. 4. What is the corresponding capacitor voltage at the time; i.e., vɖton). You can find this using either the input signal or the capacitor voltage. 5. As a design task, you have been requested to decrease the ripple voltage in the capacitor (i.e., the difference between v(ton) and the input amplitude) by adjusing the value of the resistor, R. Should you increase or decrease R to accomplish your task?
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