An inductor of 0.5 mH, a capacitor of 20 and a resistance of 20 Ω are connected in series with a 220 V a.c. source. If the current is in phase with the e.m.f. the maximum current in the circuit is √(x) A. The value of ' x ' is (a) 44 (b) 82 (c) 146 (d) 242

Answer: (d). In phase means resonance, so Z = R = 20 Ω. Peak emf E₀ = 220√(2) V. I₀ = (220√(2))/(20) = 11√(2) = √(242) A So the answer is (d) 242.

An inductor of 0.5 mH, a capacitor of 20 and a resistance of 20 Ω are… | MHT CET 2023 (12 May, Shift 1)

Q58MHT CET 2023 · 12 MAY · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

An inductor of $0.5\text{ mH}$ , a capacitor of $20\ \mu\text{F}$ and a resistance of $20\ \Omega$ are connected in series with a $220\text{ V}$ a.c. source. If the current is in phase with the e.m.f. the maximum current in the circuit is $\sqrt{x}\text{ A}$ . The value of ' $x$ ' is

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Answer: (d)

In phase means resonance, so $Z = R = 20\ \Omega$ .
Peak emf $E_0 = 220\sqrt{2}\text{ V}$ .
$I_0 = \dfrac{220\sqrt{2}}{20} = 11\sqrt{2} = \sqrt{242}\text{ A}$
So the answer is (d) 242.

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Resonance, Bandwidth & Q Factor question from MHT CET 2023 (12 May, Shift 1)

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