determine the amplitude and phase of the resulting wave
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This problem involves adding two waves with the same angular frequency. Please calculate the sum of the two waves ? = ?1+?2 given below and determine the amplitude and phase of the resulting wave (as a function of A1 and A2). A graphic or algebraic solution is acceptable:
A) ?1(r,t) = A1ei(-ωt) ?2(r,t) = A2ei((π/2)-ωt)
B) ?1(r,t) = A1ei(-ωt) ?2(r,t) = A2ei(π-ωt)
C) ?1(r,t) = A1ei(-ωt) ?2(r,t) = A2ei((3π/2)-ωt)
D) ?1(r,t) = A1ei(-ωt) ?2(r,t) = A2ei((2π)-ωt)
E) ?1(r,t) = A1ei(-ωt) ?2(r,t) = A2ei((π/3)-ωt)
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