Formulas for the alternating current and voltage

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SUMMARY

The discussion centers on the formulas for alternating current (AC) and voltage. The correct formulas are identified as v = v0cos(wt) and i = i0cos(wt), which represent the voltage and current in a cosine wave form. The alternative formulas v = v0sin(wt) and i = i0sin(wt) are also valid but indicate a phase shift of π/2. Understanding the phase difference is crucial, as it affects the timing of voltage and current peaks in AC circuits.

PREREQUISITES
  • Basic understanding of trigonometry
  • Familiarity with sinusoidal functions
  • Knowledge of alternating current (AC) theory
  • Understanding of phase difference in waveforms
NEXT STEPS
  • Study the implications of phase shifts in AC circuits
  • Learn about the relationship between voltage and current in RLC circuits
  • Explore the use of phasors in AC analysis
  • Investigate the applications of Fourier series in analyzing waveforms
USEFUL FOR

Electrical engineers, physics students, and anyone studying alternating current systems will benefit from this discussion.

wolly
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Hi,I have found in my textbook the formulas for both current and voltage and I have no idea if they are right or wrong. Can someone help me with these formulas?
v=v0cos(wt)
i=i0cos(wt)
Is this correct? In google when I search for the answers I get something else:
v=v0sin(wt)
i=i0sin(wt)
 
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They are same sinusoidal function with only difference of phase. 
Fot t=0
The former v=v0 i=i0
The latter v=0 i=0
 
Yes if you know abit of trigonometry it is $$\cos(\omega t)=\sin(\omega t+\frac{\pi}{2})=\sin(\omega(t+t_0))$$ where ##t_0=\frac{\pi}{2\omega}## the phase difference in seconds.
 

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