Alternating current, voltage, sinusoids

AI Thread Summary
The discussion revolves around the phase relationship between two sinusoidal voltages, v1 and v2, expressed in different forms. The user proposes that v1 is in advance of v2, based on their respective angles. A key point is the conversion of v2 from cosine to sine form, revealing that v2 can be expressed as 20 sin(ωt + 50º). This transformation supports the conclusion that v1 leads v2 by 50º. The consensus among participants confirms that v1 is indeed in advance of v2.
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.
 
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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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