1. Phase in Circuits Intro to ECSE Analysis K. A. Connor
Mobile Studio Project
Center for Mobile Hands-On STEM
SMART LIGHTING Engineering Research Center
ECSE Department
Rensselaer Polytechnic Institute
Intro to ECSE Analysis

2. Phase Observations of Phase Shifts Phase Shifts for RL circuits
Validation of Expressions Relating I and V for Capacitors and Inductors

3. Matlab

4. RL Circuit
Simple RL Circuit (Ltspice)

5. RL Circuit
Inductor Current
Inductor Voltage 2π

6. RL Circuit
Input Voltage
Output Voltage
Corner Frequency

7. Capacitors & Inductors
Resistors
Capacitors
Inductors

8. Validate Equation Collect Data from Experiment/Simulation
Export Data to Excel (or Matlab) & Plot
Find Mathematical Expressions for I and V
Plot to Verify Parameters in Expression
Use Mathematical Representations of Data to Verify/Validate Equation

9. Inductance
Use these expressions to show the two sides of the equation are equal
Be careful converting between cosines & sines