In series LCR circuit, the voltage across the inductance and the capacitance are not

In series LCR circuit, the voltage across the inductance and the capacitance are not
  1. out of phase with the voltage across the resistance by $90^{\circ}$.
  2. equal in magnitude at resonance.
  3. out of phase with each other by $180^{\circ}$.
  4. in phase with the source voltage.

Solution

In an LCR circuit, the inductor (L) and capacitor (C) introduce phase shifts in the current compared to the source voltage due to their reactive properties. The inductor causes a phase shift of +90 degrees, leading the voltage, while the capacitor causes a phase shift of -90 degrees, lagging the voltage. Thus, voltage across $\mathrm{L}$ and $\mathrm{C}$ are not in phase with the source voltage.

Asked in: MHT CET 2023 (11 May Shift 1)

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