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S(1) and S(2) are two sources of light ...

`S_(1)` and `S_(2)` are two sources of light which produce individually disturbance at point `P` given by `E_(1)=3sin omegat,E_(2)=4 cos omegat.` Assume `vec(E_(1))&vecE_(2)` to along the same line, find the resultant after their superposition.

Text Solution

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`E=3 sin omegat+4 sin (omegat+(pi)/(2))`
`A^(2)=3^(2)+4^(2)+2(3)(4) cos (pi)/(2)=5^(2)`
`tan phi_(0) (4 sin)(pi/(2))/(3+4cos(pi/(2)))=(4)/(3) rArr phi_(0)=53^(@)`
`E=5sin [omegat+53^(@)]`
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