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MHT CET 2025 (25 Apr, Shift 1) · Series LCR Circuit

Series LCR Circuit question from MHT CET 2025 (25 Apr, Shift 1)

Q20MHT CET 2025 · 25 APR · SHIFT 1Medium

Series LCR Circuit

In LCR series circuit, when ' LL ' is removed from the circuit, the phase difference between voltage and current in the circuit is π3\frac{\pi}{3}. If ' CC ' is removed from the circuit instead of LL then phase difference is again π3\frac{\pi}{3}. The power factor of the circuit is (tan⁡60∘=3)\left(\tan 60^\circ = \sqrt{3}\right)

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Answer: (d)

  1. L removed: XC=3RX_C = \sqrt{3}R; C removed: XL=3RX_L = \sqrt{3}R.
  2. XL=XC⇒X_L = X_C \Rightarrow resonance, Z=RZ = R.
  3. Power factor =RZ=1= \dfrac{R}{Z} = 1. So the answer is (d) 1.
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