In the figure, the voltages are 𝑣1(𝑡) = 100cos(𝜔𝑡), 𝑣2(𝑡) = 100cos

Q. In the figure, the voltages are 𝑣₁(𝑡) = 100cos(𝜔𝑡), 𝑣₂(𝑡) = 100cos(𝜔𝑡 + 𝜋/18) and 𝑣₃(𝑡) = 100cos(𝜔𝑡 + 𝜋/36). The circuit is in sinusoidal steady state, and 𝑅 << 𝜔𝐿. 𝑃₁, 𝑃₂ and 𝑃₃ are the average power outputs. Which one of the following statements is true?

(A) 𝑃₁ = 𝑃₂ = 𝑃₃ = 0                                   (B) 𝑃₁ < 0, 𝑃₂ > 0, 𝑃₃ > 0

(C) 𝑃₁ < 0, 𝑃₂ > 0, 𝑃₃ < 0                            (D) 𝑃₁ > 0, 𝑃₂ < 0, 𝑃₃ > 0

Ans: 𝑃₁ < 0, 𝑃₂ > 0, 𝑃₃ < 0