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Two alternating voltage generators produ...

Two alternating voltage generators produce emfs of the same amplitude`(E_0)` but with a phase difference of `(pi)//3`. The resultant emf is

A

`E_(0)sin(omegat+pi//3)`

B

`E_(0)sin(omegat+pi//6)`

C

`sqrt(3)E_(0)sin(omegat+pi//6)`

D

`sqrt(3)E_(0)sin(omegat+pi//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`E_(1)=E_(0)sin omegat , E_(2)=E_(0)sin (omegat+pi//3)`,
`E=E_(2)+E_(1)`
`=E_(0)sin (omegat+pi//3)+E_(0)sin omegat`
`=E_(0)(2sin(omegat+pi//6)cos(pi//6)`
`=sqrt(3) sin sin (omegat+pi//6)`
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