A LCR circuit is at resonance for a capacitor $C$, inductance $L$ and resistance $R$. Now the value of…

A LCR circuit is at resonance for a capacitor $C$, inductance $L$ and resistance $R$. Now the value of resistance is halved keeping all other parameters same. The current amplitude at resonance will be now:
  1. Zero
  2. same
  3. halved
  4. double

Solution

In resonance $Z=R$ $\begin{aligned} & \mathrm{I}=\frac{\mathrm{V}}{\mathrm{R}} \\ & \mathrm{R} \rightarrow \text { halved } \\ & \Rightarrow \mathrm{I} \rightarrow 2 \mathrm{I}\end{aligned}$ I becomes doubled.

Asked in: JEE Main 2024 (08 Apr Shift 1)

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