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NEET 2023 · Series LCR Circuit

Series LCR Circuit question from NEET 2023

Q36NEET 2023Easy

Series LCR Circuit

The net impedance of circuit (as shown in figure) will be:

Figure

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Answer: (b)

  1. XL=2πfL=2π×50×50π×10−3=5 ΩX_L = 2\pi f L = 2\pi \times 50 \times \frac{50}{\pi} \times 10^{-3} = 5\ \Omega
  2. XC=12π×50×103π×10−6=10 ΩX_C = \frac{1}{2\pi \times 50 \times \frac{10^3}{\pi} \times 10^{-6}} = 10\ \Omega
  3. Z=102+(10−5)2=125=55 ΩZ = \sqrt{10^2 + (10 - 5)^2} = \sqrt{125} = 5\sqrt{5}\ \Omega
  4. So the answer is (b) 55 Ω5\sqrt{5}\ \Omega.
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