1048_Physics ProblemsTechnical Physics

1048_Physics ProblemsTechnical Physics - 389 Chapter 37...

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Chapter 37 389 Section 37.4 Phasor Addition of Waves P37.21 (a) We can use sin sin sin cos AB += + F H G I K J F H G I K J 2 22 to find the sum of the two sine functions to be EE x t 12 24 0 15 4 5 35 0 35 0 19 7 15 4 5 35 0 + ° ° + ° .s i n . . c o s . i n . . kN C kN C bg af Thus, the total wave has amplitude 19 7 . kNC and has a constant phase difference of 35 0 . ° from the first wave. (b) In units of kN/C, the resultant phasor is E i i j i j E R R =+= + ° + = + =+ F H G I K J 1 12 0 12 0 70 0 12 0 70 0 16 1 11 3 16 1 11 3 11 3 16 1 19 7 . ± .c o s . ± i n . ± . ± . ± .. t a n . . . ej e j at kN C at 35.0 E 1 E 2 70.0° E R α x y kx - ω t FIG. P37.21(b) (c) Ei j R 12 0 70 0 12 0 70 0 o ± i ± −° =− + = ° 15 5 80 0 15 5 80 0 17 0 160 17 0 160 918 183 936 o ± i ± o s ± i n ± . ± . ± . ij j R kN C at 169 The wave function of the total wave is Ex t P + ° 15 45 169 i n . kN C a f . E 1 E 2 E R x y kx - t E 3 FIG. P37.21(c) P37.22 (a) E i R E = + °+ ° + °+ ° 0 20 0 20 0 40 0 40 0 ±± cos . ± sin . ± cos . ± sin
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