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

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SUMMARY

The discussion centers on the phase relationship between voltage and current in AC circuits, specifically addressing the equations i = 5sin(wt + 30) and V = 10sin(wt + 140). It is established that the current leads the voltage by 110 degrees, contrary to the initial assumption that voltage leads current. The confusion arises from the interpretation of phase angles exceeding 90 degrees, which can lead to miscalculations in phase relationships.

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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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