MHT CET Medical202626 April 2026Morning ShiftPhysicsAlternating CurrentActual
In a series LCR circuit R = X_L = 2X_C . The impedance of the circuit and phase difference between 'V' and 'I' respectively will be
Options
- AR 2 , ⁻¹(0.5)
- B5 2 R, ⁻¹(0.5)
- C5 2 R, ⁻¹(0.2)
- DR 2 , ⁻¹(0.2)
Correct answer
B. 5 2 R, ⁻¹(0.5)
Step-by-step solution
Given R = X_L = 2X_C X_L = R 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 Z = R^2 + ( R 2 )^2 = R^2 + R^2 4 = 5 2 R The phase difference between voltage and current is given by: = X_L - X_C R = R - R 2 R = R 2 R = 0.5 = ⁻¹(0.5) Answer: 5 2 R, ⁻¹(0.5)