The maximum values of the phasors (currents and voltage) in `AC` circuits can be treated as vectors rotating with an angular frequency equal to the angular frequency of the rotor of the generator. If the phase difference between two phasors `vec(A_(1))` and `vec(A_(2))` is `phi` the resultant phasor is :

`A = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos phi)`
and the phase of `vec(A)` with respects to `A_(1)` is
`beta = "tan"^(-1) (A_(2) sin phi)/(A_(1) + A_(2) cos phi)`
`RHS` value
The rms value of `y = f (t)` is
`y_("rms") = {(int_(0)^(T) [f(t)]^(2) dt)/(T)}^((1)/(2))`
Average value
The average value of `y = f (t)` is `y_(av) = (int_(0)^(T) ydt)/(T)`
Using the above concept, answer the following questions.
The rms value of `i_(3)` is

Options

A. `2 sqrt(6)`
B. `sqrt(6)`
C. `3 sqrt(2)`
D. `2 sqrt(2)`

Answer

D