A series LCR circuit consists of R = 80 Ω, XL = 100 Ω, and XC = 40 Ω. The input voltage is 2500 cos (100π t) V. The amplitude of current, in the circuit, is _________ A. Numerical answer type. Work it out, then open the answer.

Answer: 25. Z = √(R² + (XL - XC)²) = √(80² + 60²) = 100 Ω I₀ = V₀/Z = (2500)/(100) = 25 A

A series LCR circuit consists of R = 80 Ω, XL = 100 Ω, and XC = 40 Ω… | JEE Main 2023 (31 Jan, Shift 2)

Q71JEE Main 2023 · 31 JAN · SHIFT 2Difficult

Resonance, Bandwidth & Q Factor

A series $LCR$ circuit consists of $R = 80\ \Omega, X_L = 100\ \Omega$ , and $X_C = 40\ \Omega$ . The input voltage is 2500 $\cos(100\pi t)\text{ V}$ . The amplitude of current, in the circuit, is _________ A.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 25

$Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{80^2 + 60^2} = 100\ \Omega$
$I_0 = \frac{V_0}{Z} = \frac{2500}{100} = 25\text{ A}$

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