An AC source producing `emf` `epsilon = epsilon_0 [cos(100 pi s^(-1)) t + cos (500 pi s^(-1))t]` is connected in series with a capacitor and a resistor. The steady-state current in the circuit is found to be `I = i_1 cos [(100 pi s^(-1) t + varphi_1] + i_2 cos [(500 pi s^(-1))t +phi_2]`.A. `i_(1)gti_(2)`B. `i_(1) =i_(2)`C. `i_(1)lt i_(2)`D. none

An AC source producing `emf` `epsilon = epsilon_0 [cos(100 pi s^(-1))

1.	An AC source producing `emf` `epsilon = epsilon_0 [cos(100 pi s^(-1)) t + cos (500 pi s^(-1))t]` is connected in series with a capacitor and a resistor. The steady-state current in the circuit is found to be `I = i_1 cos [(100 pi s^(-1) t + varphi_1] + i_2 cos [(500 pi s^(-1))t +phi_2]`.A. `i_(1)gti_(2)`B. `i_(1) =i_(2)`C. `i_(1)lt i_(2)`D. none
Answer» Correct Answer - C Impedance of `RC` circuit `Z = sqrt(R^(2) + ((1)/(omegaC))^(2)` `i_(1) = (E_(0))/(sqrt(R^(2) + ((1)/(100piC))^(2))) i_(2) = (E_(0))/(sqrt(R^(2) + ((1)/(500 pi C))^(2)))` `i_(1) lt i_(2)` .

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