Calculate the RMS current of an ac circuit

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SUMMARY

The discussion focuses on calculating the RMS (Root Mean Square) value of an AC current represented by the equation i = 3 + 4 sin(ωt + π/3). The relevant equation for RMS current is Irms² = (∫₀ᵀ [I(t)]² dt) / T. Participants express challenges with integration, particularly with the presence of the T term in the result. The conversation highlights the importance of understanding integration techniques and suggests using LaTeX for clearer communication of mathematical expressions.

PREREQUISITES
  • Understanding of AC circuit theory
  • Familiarity with RMS calculations
  • Basic integration techniques
  • Knowledge of LaTeX for mathematical notation
NEXT STEPS
  • Study the derivation of RMS values for periodic functions
  • Practice integration of trigonometric functions
  • Learn how to use LaTeX for formatting mathematical equations
  • Explore advanced topics in AC circuit analysis
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Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of AC circuit analysis and RMS calculations.

randomgamernerd
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Homework Statement

: [/B]
calculate rms value of current i= 3+ 4 sin(ωt+π/3)

Homework Equations

: [/B]
Irms2=(∫0T [I(t)]2dt)/T

The Attempt at a Solution

: I tried to integrate but I'm getting a T term.
 
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randomgamernerd said:

Homework Statement

: [/B]
calculate rms value of current i= 3+ 4 sin(ωt+π/3)

Homework Equations

: [/B]
Irms2=(∫0T [I(t)]2dt)/T

The Attempt at a Solution

: I tried to integrate but I'm getting a T term.
What result do you get for the integration ?
 
SammyS said:
What result do you get for the integration ?
I don't know how to type it...can I post a picture?
 

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