Question

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) gt i_(2)`
B. `i_(1) =i_(2)`
C. `i_(1) lt i_(2)`
D. the information is insufficient to find the relation between is found to be

Answer 1

Correct Answer - C
`"Impedence z is give by z "sqrt(((1)/(omegaC))^(2)+R^(2))`
For higher `omega`, z will be lower so current will be higher