The electric current in AC circuit is given by the relation i =`3sinomegat + 4cosomegat`. The rms value of the current in the circuit in ampere is

Options

A. `5/sqrt(2)`
B. `5sqrt(2)`
C. `sqrt(2)/5`
D. `1/sqrt(2)`

Answer

A

Explanation

The current through the AC circuit is given by
i = `3sinomegat + 4cosomegat`
The maximum value of current is
`I_(rms) = sqrt(3^(2)+4^(2))= sqrt(25)` = 5unit
The rms value of current, `I_(rms) = I_(max)/sqrt(2) = 5/sqrt(2)` unit