An AC source producing e.m.f `V=V_(0)(sin omegat +sin 3 omega t)` is connected in series with a capacitor and a resistor. The current in the circuit is found to be `i=i_(1)sin(omega t +phi_(1))+i_(2)sin(3omegat+phi_(2))` then comment

Options

A. `i_(1)gti_(2)`
B. `i_(1)=i_(2)`
C. `i_(1)lti_(2)`
D. any of the above may be true

Answer

C

Explanation

An AC source
We have `Z=sqrt(R^(2)+1/(omegaC)^(2))` thus
`omegauarr,Zdarrimpliesi`
increases