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Question: Answered & Verified by Expert
In series LCR circuit, the voltage across $L, C$ and $R$ is $50 \mathrm{~V}, 20 \mathrm{~V}$ and $40 \mathrm{~V}$ respectively. The a.c. voltage applied across the combination of LCR is
PhysicsAlternating CurrentMHT CETMHT CET 2022 (06 Aug Shift 1)
Options:
  • A $10 \mathrm{~V}$
  • B $110 \mathrm{~V}$
  • C $70 \mathrm{~V}$
  • D $50 \mathrm{~V}$
Solution:
2086 Upvotes Verified Answer
The correct answer is: $50 \mathrm{~V}$
The ac voltage across the LCR is given by:
$V_{r m s}=\sqrt{V_R^2+\left(V_L-V_C\right)^2}=\sqrt{40^2+(50-20)^2}=50 \mathrm{~V}$

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