An alternating current is given by
`(sqrt(3) sin omegat + cos omegat)`. The rms current is :

Options

A. 2
B. `sqrt(2)`
C. `2sqrt(2)`
D. 4

Answer

B

Explanation

`I_(rms) = sqrt((overset(1)underset(0)int[(sqrt(3)sin wt) + (cos wt)]^(2)dt)/(T))`
`=sqrt((overset(T)underset(0)int3sin^(2)wt dt + int cos^(2)wt dt+int sqrt(3) sin2wtdt)/(T))`
`= sqrt(((3)/(2)T + (1)/(2)T + 0)/(T)) = sqrt(2) = sqrt(2) Amp.`