I need solution for 24&25, thanks 24. What is the amplitude A of the resultant w

Question

I need solution for 24&25, thanks

24. What is the amplitude A of the resultant wave? -- answer is E

25. What is the phase angle of the resultant wave? --- answer is C

The next two questions refer to the following situation A resultant wave with an amplitude A and a phase angle is the result of the superposition of three waves, as given below: E = Asin(ottp)-2sinoot + 2sin(cot + 30°) + 2sin(oot + 60°) 24. What is the amplitude A of the resultant wave? a. A=1.0 b. A-2.1 c. A-3.2 d. A-4.0 e. A-5.5 25, what is the phase angle of the resultant wave? a. = 90 b, =60°

Explanation / Answer

E = 2 [ sin(wt) + sin(wt)cos30 + sin30 coswt + sin(wt)cos60 + coswtcos60]

E = 2 [ (2.73)(cos30)(sinwt) + 2.73(0.5)cos(wt))]

E = (2 x 2.73)( sin(Wt)cos(30) + sin(30)cos(wt))

E = 5.5 sin(wt + 30)

24. A = 5.5 Ans(e)

25. phi = 30 deg Ans(c)

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