MHT CET202619 April 2026Morning ShiftPhysicsAlternating CurrentActual
For a series LCR circuit inductive reactance X_L is equal to resistance R and also equal to twice the capacitive reactance X_C . The impedance of the circuit and the phase difference between voltage V and current i are respectively
Options
- A5 R, ⁻¹ ( 1 2 )
- B5 R, ⁻¹(2)
- C5 R 2 , ⁻¹ ( 1 2 )
- D5 R 2 , ⁻¹(2)
Correct answer
C. 5 R 2 , ⁻¹ ( 1 2 )
Step-by-step solution
Given X_L = R and X_L = 2X_C . This gives X_C = R 2 . The impedance of the series LCR circuit is given by Z = R^2 + (X_L - X_C)^2 . Substituting the values: Z = R^2 + (R - R 2 )^2 = R^2 + R^2 4 = 5 R 2 . The phase difference between voltage and current is given by = X_L - X_C R . = R - R 2 R = 1 2 . = ⁻¹ ( 1 2 ) . Answer: 5 R 2 , ⁻¹ ( 1 2 )