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MHT CET 2024 (15 May, Shift 1) · RL and RC Series Circuits

RL and RC Series Circuits question from MHT CET 2024 (15 May, Shift 1)

Q20MHT CET 2024 · 15 MAY · SHIFT 1Easy

RL and RC Series Circuits

In an a.c. circuit, the reactance of a coil is 3\sqrt{3} times its resistance. The phase difference between the voltage across the coil to the current through the coil will be

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Answer: (d)

  1. For a coil (R and L in series): tan⁡ϕ=XLR\tan\phi = \frac{X_L}{R}.
  2. XL=3R⇒tan⁡ϕ=3X_L = \sqrt{3}R \Rightarrow \tan\phi = \sqrt{3}
  3. So the answer is (d) tan⁡−1(3)\tan^{-1}(\sqrt{3}).
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