Download Powerpoint - EED Courses

Welcome to the Fundamentals of
Mathematics for Engineers Lab
ENGR 2194
Lab # 3 – Sinusoids in Engineering:
Measurement and Analysis of Harmonic Signals
Car Amplifier and Concert Audio Equipment
Real-World Example Related to Topic!
Electrical engineers commonly use:
•
•
Electrical signals (e.g., waveforms)
Electrical equipment and instrumentation (e.g., oscilloscope)
Today's Learning Objectives
 After today's lab, students will be able to:
1. Discuss the properties of sinusoids
2. Describe the relationships between sinusoid
characteristics
3. Explain sinusoidal addition
4. Use a function generator
5. Obtain measurements using an oscilloscope
Sinusoidal Relationships
 General Equation
• 𝑥(𝑡) = 𝐴𝑠𝑖𝑛(𝜔𝑡 + 𝜙)
 Normal Frequency
1
• 𝑓 =𝑇
 Angular Frequency
• 𝜔 = 2𝜋𝑓=
 Time Shift
• 𝑡𝑆 =
∅
2𝜋𝑓
2𝜋
𝑇
New Equipment
 Inductors
 Capacitors
 Function Generator
 Oscilloscope
 Data Acquisition System
Oscilloscope
Reading a Circuit Diagram
MATLAB
 Functions (e.g., “sqrt”)
 Plotting
• Multiple graphs
 Commands (e.g., “hold on”)
• Line specifiers
• Legend
Important Takeaways
 Essential to Engineers:
• Algebra
•
Linear and quadratic equations
• Sinusoidal relationships
•
Frequency, period, time shift
• Electrical equipment and instrumentation
•
Capacitors
•
Inductors
•
Function Generator
•
Oscilloscope
• Technical Computing
 MATLAB
Preview of Next Lab
 Systems of Equations in Engineering: The TwoLoop Circuit
• Matrices
• Cramer’s Rule