An AC source producing emf $ϵ=ϵ_{0}[cos(100πS_{−1})t+cos(500πs_{−1})t]$ is connected in series with a capacitor and a resister. The steady-state current in the circuit is found to be: $i=i_{1}[cos(100πs_{−1})t+ϕ_{1}]+i_{1}cos[(500πs_{−1})t+ϕ_{1}]$

A

$i_{1}>i_{2}$

B

$i_{1}=i_{2}$

C

$i_{1}<i_{2}$

D

the information is insufficient to find the relation between $i_{1}$ and $i_{2}$.

Medium

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Solution

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Correct option is C)

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