SOLUTION: The voltage V1 and V2 are represented as follows V1 = 3sin(wt) V2 = 2cos(wt) If V3 is the sum of V1 and V2 V3 = V1 + V2 Find the expression of V3 in sine waveform V

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The voltage V1 and V2 are represented as follows V1 = 3sin(wt) V2 = 2cos(wt) If V3 is the sum of V1 and V2 V3 = V1 + V2 Find the expression of V3 in sine waveform V      Log On


   

Question 1062574: The voltage V1 and V2 are represented as follows
V1 = 3sin(wt)
V2 = 2cos(wt)
If V3 is the sum of V1 and V2
V3 = V1 + V2
Find the expression of V3 in sine waveform
V3 = Rsin(wt+a)
and verify that the resultant voltage V3 is the same frequency as V1 and V2
Note: w = omega and a = alpha
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
V3 = V1 + V2 = 3*sin(wt) + 2*sin(wt) = 5*sin(wt).

5sin(wt) has the same frequency as 3sin(wt) and 2sin(wt).


Obvious. (For those who know what the frequency is).