Electrical Engineering ⇒ Topic : Notation of Phasors on Rectangular Co-ordinate Axes
|
Nathan
| |
Consider a phasor V lying along OX-axis as shown in Fig. (a). If we multiply this phasor by -1, the phasor is reversed i.e. it is rotated through 180° in the counterclockwise (CCW) direction. Let us see with what factor the phasor be multiplied so that it rotates through 90° in CCW direction. Suppose this factor is j. As shown in Fig. (a), multiplying the phasor by j2 rotates the phasor through 180° in CCW direction. This means that multiplying the phasor by j2 is the same as multiplying by -1. It follows, therefore, that
We an-ive at a very important conclusion that when a phasor is multiplied by j (= √-1), the phasor is rotated through 900 in CCW direction. Each successive multiplication by j rotates the phasor through an additional 90° in CCW direction. It is easy to see that multiplying a phasor by
Fig. (a) shows the effect of multiplying a phasor by j. The following points may be noted carefully
figure (a)
| |
| |
!! OOPS Login [Click here] is required for more results / answer