In the $A C$ circuit shown, $ \begin{aligned} & E=E_0 \sin (\omega t+\phi) \text { and } \\ & i=i_0 \sin…

In the $A C$ circuit shown, $ \begin{aligned} & E=E_0 \sin (\omega t+\phi) \text { and } \\ & i=i_0 \sin \left(\omega t+\phi+\frac{\pi}{4}\right) . \end{aligned} $ Then, the box contains
  1. Only C
  2. L and R in series
  3. C and R in series or L, C and R in series
  4. Only R

Solution

As current leads by $\frac{\pi}{4}$, so circuit must be more capacitive them inductive. Hence, it is either a $C-R$ combination or $L-C-R$ combination.

Asked in: AP EAMCET 2018 (23 Apr Shift 2)

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