UNIT5-OBJECTIVE5-EXPONENTIAL FORM OF

A COMPLEX NUMBER


		Another way a complex number can be represented is the exponential form of a complex number. It is called
		the exponential form of a complex number because it involves an exponents of a number e. (remember e2.71828------) 
		namely . The angle  is in radians ().
		

		Examples
		1.Write the complex number 6 () in exponential form.
		there r=6, 
		Since  needs to be in radians 
		So 6()=6

		2.Write the complex number 8 in exponential form.
		Since r=8, 
		 Convert  to radians
		
		 So 8=8

		3.Express -5-8j in exponential form.
		
		tan=-8/-5=1.6
		   (Since 5-8j is in the third quadrant)
		So -5-8j=9.4340
		4.Express 4.6 
		 in polar and rectangular form.
		(the exponent for e should be 5.7j not 5-7j)
		r=4.6
		=5.7
		
		Which is approximately 3.8397- 2.5332j.
		

Unit 5 Outline // Course Outline // Home Page

Copyright 1996 by B. Chambers and P. Lowry. All Rights Reserved.