5.3 Complex Numbers and Complex Arithmetic cont.

Given: A = 1 - j3 and B = 2/-30°, the following complex arithmetic yields the following numerical results (see text Problem 5.7, p. 202):

A + B = (1 - j3) + 2/-30° ť (1 - j3) + (1.732 - j1)

ť 2.732 - j4 ť 4.844/-55.67°

A - B = (1 - j3) - 2/-30° ť (1 - j3) - (1.732 - j1)

ť -0.732 - j2 ť 2.130/-110.1°

AB = (1 - j3)(2/-30°) ť (3.162/-71.57°)(2/-30°)

ť 6.324/-101.57°) ť -1.268 - j6.195

A/B ť (3.162/-71.57°)/(2/-30°) ť 1.581/-41.57°

ť 1.183 - j1.049

1/A ť 1/0°/(3.162/-71.57°) ť 0.3163/+71.57°

ť 0.1 - j0.3 and AA*ť 3.1622 ť 10.0

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