For series LCR circuit, which one of the following is a CORRECT statement?

For series LCR circuit, which one of the following is a CORRECT statement?
  1. Potential difference across $\mathrm{R}$ and that across capacitor have phase difference of $\frac{\pi}{2}$
  2. Applied e.m.f. and potential difference across resistance ' $R$ ' are in the same phase
  3. Applied e.m.f. and potential difference across inductor coil has phase difference of $\frac{\pi}{2}$
  4. Potential difference across capacitor and that across inductor have phase difference of $\frac{\pi}{2}$

Solution

(A) is correct. (B) is wrong. There is phase difference $\phi$ between the applied emf e and $\mathrm{e}_{\mathrm{R}}$ (C) is wrong. There is phase difference of $\left(\frac{\pi}{2}-\phi\right)$ between $\mathrm{e}$ and $\mathrm{e}_{\mathrm{L}}$ (D) is wrong. There is a phase difference of $\pi$ between $\mathrm{e}_{\mathrm{C}}$ and $\mathrm{e}_{\mathrm{L}}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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