Why Does Current Lead Voltage by 110 Degrees in This Circuit?

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The discussion centers on the phase relationship between voltage and current in AC circuits, specifically addressing a scenario where voltage appears to lead current by 110 degrees. The user initially believes that the voltage leads current due to its higher angle but is confused by the correct interpretation that current actually leads voltage by 110 degrees. This confusion arises from the understanding that phase differences can exceed 90 degrees, which complicates the interpretation of lead and lag. An additional example is provided, questioning whether voltage leads current by 200 degrees in another case. The thread emphasizes the importance of correctly interpreting phase angles in AC circuit analysis.
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Urgent question but simple problem:Phase difference

Homework Statement


What is the phase relationship between voltage and current?
i = 5sin(wt+30)
V = 10sin(wt+140)


Homework Equations





The Attempt at a Solution


it seems that drawing using cartesian, the voltage is leading the current by 110 degrees

but the correct answer is i leads v by 110 degrees why is that?
i thought the arrow with higher angle leads the lower angle
 
Last edited:
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is it because the maximum limit of 90 degress phase difference is exceeded?

another example:
V = 2sin(wt+10)
i = sin(wt+210)

voltage leads current by 200 degrees?
 

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