Lecture Notes: Average and RMS Values

Introduction

• Purpose: Understanding average (AVR) and root mean square (RMS) values through practical problems.
• Structure: Basic concepts followed by problem-solving.

Key Concepts

• Average Behavior:

  • Important for mixture problems.
  • Remember the total of 40.
  • Four major appointments to consider.

• Symmetrical Waveform:

  • If the question involves symmetrical waveforms, specific methods (like family use) should be applied to find the answer.

Problem Solving Approach

• Identify the type of question:

  • Use the right approach based on the waveform type.
  • Understand that positive and negative values should be handled appropriately.

• Example Problem:

  • Given a waveform cycle (e.g., 202), recognize it as a full cycle due to repeating elements.
  • Derive the equation by equating values on both sides.

Mathematical Derivations

• For one complete cycle, derive the equation:

  • Use integration techniques to find the average value.
  • Example: Average calculation from a waveform.

• Final Calculation:

  • Use specific formulas for RMS (root mean square).
  • Formula involves area under the full cycle of the waveform.

Conclusion

• Final steps involve confirming the calculations through integration.
• Ensure all values are checked and derived accurately for successful problem-solving.