Page 105 - Numerical Analysis Using MATLAB and Excel

Chapter 3 Sinusoids and Phasors

2.2361

-153.4349
or

x = −2; y = −1; [theta,r] = cart2pol(x,y), deg = theta*180/pi

theta =
-2.6779

r =

2.2361
deg =

-153.4349
Check with the Simulink model of Figure 3.13:

Figure 3.13. Simulink model for Example 3.8 (c)

d. The real and imaginary components of this phasor are shown in Figure 3.14.

Im
323.1° 4
Re
−36.9°

5
−3
Figure 3.14. The components of 4 – j3
Then,

⁄
2
2
∠
∠
–
4j3 = 4 + 3 ⋅ e j tan – – ( 3 4 ) = 5e j323.1° = 5323.1° = 5e – j36.9° = 5 – 36.9°
Check with MATLAB:
w=4−j*3; magw=abs(w); thetaw=angle(w)*180/pi; disp(magw); disp(thetaw)

3−18 Numerical Analysis Using MATLAB® and Excel®, Third Edition
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