MHT CET · Physics · Alternating Current
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
- A \(10 \mathrm{~V}\)
- B \(110 \mathrm{~V}\)
- C \(70 \mathrm{~V}\)
- D \(50 \mathrm{~V}\)
Answer & Solution
Correct Answer
(D) \(50 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
The ac voltage across the LCR is given by:
\(V_{r m s}=\sqrt{V_R^2+\left(V_L-V_C\right)^2}=\) \(\sqrt{40^2+(50-20)^2}=50 \mathrm{~V}\)
\(V_{r m s}=\sqrt{V_R^2+\left(V_L-V_C\right)^2}=\) \(\sqrt{40^2+(50-20)^2}=50 \mathrm{~V}\)
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