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JEE Main202127 Jul 2021Morning ShiftPhysicsAlternating CurrentActual

A 0 . 07 H inductor and a 12 Ω resistor are connected in series to a 220 V , 50 Hz AC source. The approximate current in the circuit and the phase angle between current and source voltage are respectively. [Take π as 22 7

Options

  1. A8 . 8   A and tan - 1 11 6
  2. B88   A and tan - 1 11 6
  3. C0 . 88   A and tan - 1 11 6
  4. D8 . 8   A and tan - 1 6 11

Correct answer

A. 8 . 8   A and tan - 1 11 6

Step-by-step solution

ϕ = tan - 1 X L R X L = ω L   X L = 2 × 22 7 × 50 × 0 . 07 = 22   Ω ϕ = tan - 1 22 12    R = 12   Ω ϕ = tan - 1 11 6 Z = X L 2 + R 2 = 25 . 059 I = V Z = 220 25 . 059 = 8 . 77   A

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