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Question: Answered & Verified by Expert
In LCR series circuit, source voltage is $120 \mathrm{~V}$ and voltage across inductor $50 \mathrm{~V}$. If voltage drop across resistance is $40 \mathrm{~V}$, then determine voltage in capacitor.
PhysicsAlternating CurrentAIIMSAIIMS 2019 (26 May)
Options:
  • A $10(5-8 \sqrt{2}) \mathrm{V}$
  • B $10(5+8 \sqrt{2}) \mathrm{V}$
  • C $20(5+8 \sqrt{2}) \mathrm{V}$
  • D $10(5+7 \sqrt{2}) \mathrm{V}$
Solution:
2488 Upvotes Verified Answer
The correct answer is: $10(5+8 \sqrt{2}) \mathrm{V}$


$\begin{aligned} & 120^2=40^2+\left(V_C-50\right)^2 \\ & V_C=40 \sqrt{8}+50=10(5+8 \sqrt{2}) \mathrm{V}\end{aligned}$

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