Calculating RMS Voltage & Its Dependence on Angular Velocity

Click For Summary
SUMMARY

The discussion focuses on calculating the RMS (Root Mean Square) voltage of a sinusoidal function defined as V = Sin(ωt), where ω represents angular velocity. It is established that to find the RMS voltage, one must integrate over a complete cycle, which is influenced by the angular velocity. The integration from 0 to π radians is insufficient, as a full cycle requires integration from 0 to 2π radians, highlighting the direct dependence of RMS voltage on the angular velocity of the sine wave.

PREREQUISITES
  • Understanding of sinusoidal functions and their properties
  • Knowledge of RMS voltage calculations
  • Familiarity with integration techniques in calculus
  • Concept of angular velocity in the context of waveforms
NEXT STEPS
  • Study the process of calculating RMS voltage for different waveforms
  • Learn about the relationship between angular velocity and wave frequency
  • Explore advanced integration techniques for periodic functions
  • Investigate the implications of RMS voltage in electrical engineering applications
USEFUL FOR

Students in physics or electrical engineering, educators teaching waveform analysis, and professionals involved in signal processing or electrical circuit design.

iamnew
Messages
13
Reaction score
0

Homework Statement



If V= Sin[wt]

where w = angular velocity
t is time in radians

How do you find RMS Voltage

Does RMS voltage depend on angular velocity of sin wave?


Homework Equations





The Attempt at a Solution



i integrated from 0 to PI radians and left with a sin term having omega in it.
 
Physics news on Phys.org
iamnew said:
i integrated from 0 to PI radians and left with a sin term having omega in it.

you must integrate a complete cycle. How long a complete cycle lasts also depends on omega.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
1K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
1K
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
1K
Replies
25
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K