A resistor $R$, an inductor $L$ and a capacitor $C$ are connected in series to an oscillator of frequency…

A resistor $R$, an inductor $L$ and a capacitor $C$ are connected in series to an oscillator of frequency $N$. If the resonance frequency is $N_R$, then the current lags behind voltage, when
  1. $N=N_R$
  2. $N=0$
  3. $N < N_R$
  4. $N>N_R$

Solution

Current lags behind the voltage, $\begin{aligned} & X_L>X_C \\ & \Rightarrow \omega L>\frac{1}{\omega C} \\ & \Rightarrow \omega>\frac{1}{\sqrt{L C}} \\ & \Rightarrow N>N_R \end{aligned}$

Asked in: MHT CET 2022 (11 Aug Shift 1)

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