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MHT CET Medical202623 April 2026Morning ShiftPhysicsAlternating CurrentActual

In a series LCR circuit, the resistance (R), inductive reactance X_L = 2R and capacitive reactance X_C = R . The impedance of the circuit is

Options

  1. AR
  2. B2R
  3. C2^ 0.5 R
  4. D3^ 0.5 R

Correct answer

C. 2^ 0.5 R

Step-by-step solution

The impedance of a series LCR circuit is given by the formula: Z = R^2 + (X_L - X_C)^2 Given that X_L = 2R and X_C = R , substitute these values into the formula: Z = R^2 + (2R - R)^2 Z = R^2 + R^2 Z = 2R^2 Z = 2 R = 2^ 0.5 R Answer: 2^ 0.5 R

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