MHT CET202527 Apr 2025Evening ShiftPhysicsAlternating CurrentActual
An a.c. circuit contains resistance of 12 and inductor of inductive reactance 5 . The phase angle between current and potential difference will be
Options
- A⁻¹ ( 12 13 )
- B⁻¹ ( 5 12 )
- C⁻¹ ( 5 12 )
- D⁻¹ ( 12 13 )
Correct answer
A. ⁻¹ ( 12 13 )
Step-by-step solution
The phase angle between current and potential difference in an AC circuit with resistance R = 12 , and inductive reactance X_L = 5 , satisfies = X_L R = 5 12 . The impedance is Z = R^2 + X_L^2 = 144 + 25 = 13 , . From the impedance triangle, = R Z = 12 13 and = X_L Z = 5 13 . Therefore, = ⁻¹ ( 12 13 ) or equivalently = ⁻¹ ( 5 13 ) . Comparing with the given options, the correct expression is ⁻¹ ( 12 13 ) which corresponds to option D .