Electrical Engineering ⇒ Topic : Multiplication in Polar form

Polar form. To multiply the phasors that are in polar form, just multiply their magnitudes and algebraically add the phase angles

Fig. (a) shows the multiplication of above two phasors graphically. The reader may see that multiplication of phasors becomes easier when they are expressed in the polar form. Another advantage is that multiplication in this form provides immediate information regarding the magnitudes and phase angles of the components and the resultant. Such advantages are not claimed when we multiply the phasors in the rectangular form. Therefore, as a rule, multiplication should always be done by expressing the phasors in the polar form. The reader is strongly advised to have a fair practice of converting rectangular form to polar form (See example ). This will enable him to obtain quick solution of a.c. circuits.

                                               figure (a)

Polar form. To multiply the phasors that are in polar form, just multiply their magnitudes and algebraically add the phase angles

Fig. (a) shows the multiplication of above two phasors graphically. The reader may see that multiplication of phasors becomes easier when they are expressed in the polar form. Another advantage is that multiplication in this form provides immediate information regarding the magnitudes and phase angles of the components and the resultant. Such advantages are not claimed when we multiply the phasors in the rectangular form. Therefore, as a rule, multiplication should always be done by expressing the phasors in the polar form. The reader is strongly advised to have a fair practice of converting rectangular form to polar form (See example ). This will enable him to obtain quick solution of a.c. circuits.

                                               figure (a)