urt 5. 'Intro to STEM app Hand exam Example us Use MATLA TLAD
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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
Transcribed Image Text:**Part 5: 'Intro to STEM application’ Problem - Plotting Derivatives**
- Hand example from text similar to HW problem
- Example using MATLAB
- Use MATLAB example to create MATLAB code for your HW problem
- MATLAB code expanded on example using MATLAB
Read this problem carefully.
In this part of your Project Worksheet,
**A.** Solve the problem using the 7 steps in Perfect Homework.
Pay close attention to the units!
---
**Diagram Explanation:**
*Figure P6.29: An Op-Amp circuit for problem P6-29*
The diagram illustrates an operational amplifier (Op-Amp) circuit containing two input voltages, \(v_1(t)\) and \(v_2(t)\), each passed through a 28.28 kΩ resistor and then to two Op-Amps. The output of the circuit is denoted as \(v_o(t)\).
---
**Problem Description:**
Two voltages \(v_1(t) = 10\sqrt{2} \sin\left(500\pi t - \frac{3\pi}{4}\right) \, \text{V} \) and \(v_2(t) = 5 \sin(500\pi t) \, \text{V}\) are applied to the Op-Amp circuit shown in Fig. P6.29.
**Tasks:**
(a) Write down the amplitude, frequency (in Hz), period (in seconds), phase angle or phase shift (in radians), and time shift (in seconds) of the voltage \(v_1(t)\).
(b) Plot one cycle of the voltage \(v_1(t)\), and indicate the earliest time after \(t=0\) when the voltage is \(10\sqrt{2} \, \text{V}\).
(c) The output voltage \(v_o(t)\) is given by \(v_o(t) = v_1(t) + v_2(t)\). Write \(v_o(t)\) in the form \(v_o(t) = M \sin(500\pi t + \theta)\) (i.e., find \(M\) and \(\theta\)).
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