Electrical Engineering ⇒ Topic : Introduction of phasor algebra

Nathan
 
Introduction We have seen that an alternating voltage or cunent can be represented by a phasor. The length of the phasor represents the magnitude (r. m.s. value) of the alternating quantity and angle θ from the *reference axis (i.e. OXaxis) indicates the phase of that quantity. So far we used phasor diagrams to solve problems on a. c. circuits. A phasor diagram is a graphical representation of the phasors (i.e. voltages and currents) of an a.c. circuit and may not yield quick results in case of complex circuits. Engineers have developed techniques to represent a phasor in an algebraic (i.e. mathematical) form. Such a technique is known as phasor algebra or complex algebra. Phasor algebra has provided a relatively simple but powerful tool for obtaining quick solution of a.c. circuits. It simplifies the mathematical manipulation of phasors to a great extent. In this chapter, we shall discuss the various methods of representing a phasor in a mathematical form and its application to a.c. circuits  
 
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