Moderate

In the circuit shown in the figure, the ac source gives a voltage V=20cos(2000t) Neglecting source resistance, the voltmeter and ammeter reading will be:

Correct answer: D. 5.6V, 1.4 A

  • A. 0V, 0.47A
  • B. 1.68V, 0.47A
  • C. 0V, 1.4 A
  • D. 5.6V, 1.4 A

Explanation

Z = √{(R)² + (XL − Xc)²}R = 10 Ω, XL = ωL = 2000 × 5 × 10⁻³ = 10 ΩXc = 1 / (ωC) = 1 / (2000 × 50 × 10⁻⁶) = 10 Ω i.e. Z = 10 ΩMaximum current i₀ = V₀ / Z = 20 / 10 = 2 AHence iᵣₘₛ = 2 / √2 = 1.41 Aand Vᵣₘₛ = 4 × 1.41 = 5.64 V

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