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JEE Main202329 Jan 2023Evening ShiftPhysicsAlternating CurrentActual

For the given figures, choose the correct options:

Options

  1. AThe rms current in circuit (b) can never be larger than that in (a)
  2. BThe rms current in figure (a) is always equal to that in figure (b)
  3. CThe rms current in circuit (b) can be larger than that in (a)
  4. DAt resonance, current in (b) is less than that in (a)

Correct answer

A. The rms current in circuit (b) can never be larger than that in (a)

Step-by-step solution

For the circuit(a), Z = R = 40   Ω . Hence, I r m s = 220 40 = 5 . 5   A X L = 2 π f L = 2 π × 50 × 50 × 10 - 3 = 15 . 7   Ω and X C = 1 2 π f C = 1 2 π × 50 × 0 . 5 × 10 - 6 = 6369   Ω For the circuit(b), Z = R 2 + X L - X C 2 > 40   Ω as X L is not equal to X C . So rms current in (b) can never be larger than (a)

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