RMS value of ac i=i(1)cosomegat+i(2)sino...

RMS value of ac `i=i_(1)cosomegat+i_(2)sinomegat` will be –

A

`(1)/(sqrt(2))(i_(1)+i_(2))`

B

`(1)/(sqrt(2))(i_(1)+i_(2))^(2)`

C

`(1)/(sqrt(2))(i_(1)^(2)+i_(2)^(2))^(1//2)`

D

`(1)/(2)(i_(1)^(2)+i_(2)^(2))^(1//2)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

An AC is given by the equation i=i_(1)cos omegat+i_(2)sin omegat . The r.m.s. current is given by

The r.m.s. value of I = I_(1) sin omega t + I_(2) cos omega t is

If the alternating current I =I_(1)cosomegat+I_(2) sinomegat , then the rms current is given by

An alternating current is given by I = i_1 cos omegat + i_2 sin omegat . The rms current is given by

An alternating current is given by the equation i=i_1sinomegat+i_2cosomegat . The rms current will be

An AC current is given by I = I_(1) sin omega t + I_(2) cos omega t A hot wire ammeter will give a reading :

If two simple harmonic motions are given as x_(1)=Asin omegat andx_(2)=(A//2)sinomegat+(A//2)cosomegat , then the ratio of their amplitudes is