Welcome to the Fundamentals of Mathematics for Engineers LabENGR 2194Lab # 1 – Application of Algebra in Engineering: The One-Loop Circuit

Real-World Example Related to Topic!Electrical engineers commonly use:• Fundamental laws of electricity• Electrical equipment and instrumentation

Smartphone Circuit Board

Today's Learning Objectives After today's lab, students will be able to:

1. Perform basic algebraic manipulations with linear equations.

2. Perform basic algebraic manipulations with quadratic equations.

3. Measure and understand the relationship between voltage, current, and resistance.

4. Apply basic functions in MATLAB toward the solution of engineering equations using the command window.

5. Use MATLAB for plotting data.

Fundamental Laws Ohms’ Law: • VR = IR

Kirchhoff’s Voltage Law:• ∑Voltage Rises = ∑Voltage Drops

• VS = VR = IR

+

−

V S

I

R

+

−

V R

Equipment Breadboard

Resistors

Ammeter

Voltmeter

Watt-meter

Reading a Circuit Diagram

Wattmeter Demonstration

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−

Voltage Source

R

Wattmeter

+ −

V − +

MATLAB Arrays

Defining Variables

Plotting

Important Takeaways Essential to Engineers:• Algebra• Linear and quadratic equations

• Fundamental laws of electricity• Ohm’s Law (voltage, current, resistance)

• Kirchhoff’s Law

• Electrical equipment and instrumentation• Breadboard

• Resistors

• Technical Computing• MATLAB

Preview of Next Lab Trigonometric Relationships: One and

Two-Link Planar Robots• Reference Angle• Law of Cosines