Phasors Video Lessons

Video Thumbnail

Concept

Problem: Let us assume that a certain quantity I(t) changes over time as I(t) = I0cos(ωt). A phasor is a vector whose length represents the amplitude I0 (see the diagram (Figure 1) ). This vector is assumed to rotate counterclockwise with angular frequency ω, that way, the horizontal component of the vector represents the actual value i(t) at any given moment. In this problem, you will answer some basic questions about phasors and prepare to use them in the analysis of various AC circuits. At the moment shown in the diagram, which of the following statements is true? A) I2 leads I4 by πB) I2 lags I4 by 2πC) I2 leads I4 by π/2D) I2 lags I4 by π/2

FREE Expert Solution

The phase difference between angles of the two phasors is π (or 180°)

View Complete Written Solution
Problem Details

Let us assume that a certain quantity I(t) changes over time as I(t) = I0cos(ωt). A phasor is a vector whose length represents the amplitude I0 (see the diagram (Figure 1) ). This vector is assumed to rotate counterclockwise with angular frequency ω, that way, the horizontal component of the vector represents the actual value i(t) at any given moment. In this problem, you will answer some basic questions about phasors and prepare to use them in the analysis of various AC circuits. 


At the moment shown in the diagram, which of the following statements is true? 


A) I2 leads I4 by π

B) I2 lags I4 by 2π

C) I2 leads I4 by π/2

D) I2 lags I4 by π/2

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Phasors concept. You can view video lessons to learn Phasors. Or if you need more Phasors practice, you can also practice Phasors practice problems.