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MHT CET202620 April 2026Evening ShiftPhysicsAlternating CurrentActual

Given below are the two circuits, choose the correct option.

Options

  1. AAt resonance, current in (B) is less than that in (A)
  2. BThe r.m.s. current in (B) can be larger than that in (A)
  3. CThe r.m.s. current in (A) is always equal to that in (B)
  4. DThe r.m.s. current in (B) can never be larger than that in (A)

Correct answer

D. The r.m.s. current in (B) can never be larger than that in (A)

Step-by-step solution

For circuit (A), the impedance is purely resistive: Z_A = R = 30 The r.m.s. current in circuit (A) is: I_A = V_ rms Z_A = V_ rms R For circuit (B), which is a series LCR circuit, the impedance is given by: Z_B = R^2 + (X_L - X_C)^2 Since the square of any real number is non-negative, (X_L - X_C)^2 0 . Therefore, the impedance of circuit (B) will always be greater than or equal to the resistance R : Z_B R Z_B Z_A The r.m.s. current in circuit (B) is: I_B = V_ rms Z_B Since V_ rms is the same for both circuits ( 210

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