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

[Edwardo_Elric]

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

 

[Edwardo_Elric]

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?

 

[thomate1]

I would like to clarify that the phase relationship between voltage and current is dependent on the type of circuit or system being analyzed. In the given example, both voltage and current are sinusoidal functions with different amplitudes and phase angles. In this case, the phase relationship can be determined by comparing the phase angles of the two functions.

In general, a positive phase angle indicates that the function is ahead (or leading) in time, while a negative phase angle indicates that the function is behind (or lagging) in time. Therefore, in this specific case, the current function has a phase angle of 30 degrees, while the voltage function has a phase angle of 140 degrees. This indicates that the current is leading the voltage by 110 degrees.

It is important to note that in electrical circuits, the current and voltage may not always be in phase, meaning their peaks and zero-crossings do not occur at the same time. This is due to the presence of inductive and capacitive elements in the circuit, which can cause a phase shift between the two quantities. Therefore, it is not always accurate to determine the phase relationship based solely on the angle of the functions.

In conclusion, the phase relationship between voltage and current is not always intuitive and can vary depending on the circuit or system being analyzed. It is important to consider the specific characteristics of the functions and the underlying circuit elements to accurately determine the phase relationship.