If `i_(1) = i_(0) sin (omega t), i_(2) = i_(0_(2)) sin (omega t + phi)`, then `i_(3) =` A. `sqrt(i_(0_(1))^(2) + i_(0_(2))^(2)) sin {phi + omega t}`B. `(i_(0_(1)) + i_(0_(2))) sin ((phi)/(2) + omega t)`C. `(sqrt(i_(0_(1))^(2) + i_(0_(2))^(2) + 2i_(0_(1)) i_(0_(2)) cos phi)) sin [phi + omega t]`D. `(sqrt(i_(0_(1))^(2) + i_(0_(2))^(2) + 2i_(0_(1)) i_(0_(2)) cos phi)) sin [alpha + omega t]` where `alpha=Tan^(-1) [(i_(0_(2)) sin phi)/(i_(0_(1))+i_(0_(2)) cos phi)]`

If `i_(1) = i_(0) sin (omega t), i_(2) = i_(0_(2)) sin (omega t + phi)

1.	If `i_(1) = i_(0) sin (omega t), i_(2) = i_(0_(2)) sin (omega t + phi)`, then `i_(3) =` A. `sqrt(i_(0_(1))^(2) + i_(0_(2))^(2)) sin {phi + omega t}`B. `(i_(0_(1)) + i_(0_(2))) sin ((phi)/(2) + omega t)`C. `(sqrt(i_(0_(1))^(2) + i_(0_(2))^(2) + 2i_(0_(1)) i_(0_(2)) cos phi)) sin [phi + omega t]`D. `(sqrt(i_(0_(1))^(2) + i_(0_(2))^(2) + 2i_(0_(1)) i_(0_(2)) cos phi)) sin [alpha + omega t]` where `alpha=Tan^(-1) [(i_(0_(2)) sin phi)/(i_(0_(1))+i_(0_(2)) cos phi)]`
Answer» Correct Answer - D Apply principle of superposition

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