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JEE Main 2023 (30 Jan, Shift 2) · Series LCR Circuit

Series LCR Circuit question from JEE Main 2023 (30 Jan, Shift 2)

Q39JEE Main 2023 · 30 JAN · SHIFT 2Medium

Series LCR Circuit

In the given circuit, rms value of current (Irms)(I_{\text{rms}}) through the resistor RR is:

Figure

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Answer: (b)

  1. Z=R2+(XL−XC)2=1002+1002=1002 ΩZ = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{100^2 + 100^2} = 100\sqrt{2}\ \Omega
  2. Irms=VrmsZ=20021002=2 AI_{rms} = \dfrac{V_{rms}}{Z} = \dfrac{200\sqrt{2}}{100\sqrt{2}} = 2\text{ A}
  3. So the answer is (b) 2 A2\text{ A}.
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