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MHT CET 2023 (13 May, Shift 2) · Pure R, L and C Circuits

Pure R, L and C Circuits question from MHT CET 2023 (13 May, Shift 2)

Q37MHT CET 2023 · 13 MAY · SHIFT 2Easy

Pure R, L and C Circuits

At a particular angular frequency, the reactance of capacitor and that of inductor is same. If the angular frequency is doubled, the ratio of the reactance of the capacitor to that of the inductor will be

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Answer: (a)

  1. XCXL=1/(ωC)ωL=1ω2LC∝1ω2\frac{X_C}{X_L} = \frac{1/(\omega C)}{\omega L} = \frac{1}{\omega^2 LC} \propto \frac{1}{\omega^2}
  2. Initially the ratio is 1; with 2ω2\omega it becomes 14\frac{1}{4}.
  3. So the answer is (a) 1/4.
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