The voltage across the capacitor, as sown in the figure, is expressed as $$$V_c\left(t\right)=A_1\sin\left(\omega_1t-\theta_1\right)+A_2\sin\left(\omega_2t-\theta_2\right)$$$ The value of A₁ and A₂ respectively, are

Two magnetically uncoupled inductive coils have Q factors q₁ and q₂ at the chosen operating frequency. Their respective resistances are R₁ and R₂ . When connected in series, their effective Q factor at the same operating frequency is

In the circuit shown, the three voltmeter readings are V₁ = 220V, V₂ = 122V , V₃ = 136V. If R_L=5 Ω , the approximate power consumption in the load is

In the circuit shown, the three voltmeter readings are V₁ = 220V, V₂ = 122V , V₃ = 136V. The power factor of the load is