Alternating current, voltage, sinusoids

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Discussion Overview

The discussion revolves around the phase relationship between two alternating current voltages, v1 and v2, expressed in sinusoidal form. Participants explore the implications of their phase angles and how they relate to each other, with a focus on determining which voltage is in advance and the nature of their phase difference.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant suggests that v1 is in advance of v2 based on the phase angle comparison.
  • Another participant hints at converting the cosine function of v2 into a sine function to facilitate comparison.
  • There is a confirmation that 20 cos(ωt - 40º) can be expressed as 20 sin(ωt + 50º), which is used to support the claim that v1 is in advance.
  • One participant expresses uncertainty about the terminology "in advance" and seeks reassurance about the interpretation of the phase relationship.

Areas of Agreement / Disagreement

Participants generally agree on the transformation of the cosine function to sine and the conclusion that v1 is in advance of v2, but there remains some uncertainty regarding the terminology and the exact nature of the phase relationship.

Contextual Notes

There is a lack of clarity regarding the definitions of "in advance" and "in quadrature," which may affect the interpretation of the phase relationships. Additionally, the discussion does not resolve the implications of the phase difference quantitatively.

Who May Find This Useful

This discussion may be useful for students studying alternating current circuits, sinusoidal functions, and phase relationships in electrical engineering or physics.

znaya
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Homework Statement



Consider v1 = 30 sin(ωt + 10º) and v2 = 20 cos(ωt - 40º)

A: v1 is in advance to v2
B: v1 differs 50º from v2
C: v2 is in advance to v1
D: v1 is in quadrature to v2

Homework Equations


The Attempt at a Solution



I think the correct answer is A because v1's angle is nearer -∏/2 than v2's.
Does this make any sense?

Thanks for any help.
 
Last edited:
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hi znaya! :smile:

hint: 20 cos(ωt - 40º) = 20 sin( … ) ? :wink:
 
20 cos(ωt - 40º) = 20 sin(ωt + 50º), right?

v1 is in advance, right?
 
znaya said:
20 cos(ωt - 40º) = 20 sin(ωt + 50º), right?
right! :-p
v1 is in advance, right?

i can never remember which way round "in advance" is :redface:

i'll take your word for it! :smile:
 
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