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Chapter 17 - 17.71

71. We orient one phasor along the x axis with length 3 . 0 mm and angle 0 and the other at 70 ◦ (in the ﬁrst

quadrant) with length 5 . 0 mm. Adding the components, we obtain

3 . 0+5 . 0cos(70 ◦ )=4 . 71 mm along x axis

5 . 0sin(70 ◦ )=4 . 70 mm along y axis .

(a) Thus, amplitude of the resultant wave is √ 4 . 71 2 +4 . 70 2 =6 . 7 mm.

(b) And the angle (phase constant) is tan − 1 (4 . 70 / 4 . 71) = 45 ◦ .