MHT CET202520 Apr 2025Morning ShiftPhysicsAlternating CurrentActual
A resistance of 200 and an inductor of 1 2 H are connected in series to a.c. voltage of 40 V and 100 Hz frequency. The phase angle between the voltage and current is
Options
- A⁻¹(1 / 5)
- B⁻¹(1 / 4)
- C⁻¹(1 / 3)
- D⁻¹(0 5)
Correct answer
D. ⁻¹(0 5)
Step-by-step solution
The inductive reactance is determined using the formula X_L = 2 f L . Given L = 1 2 H and f = 100 Hz , the computation simplifies to X_L = 2 100 1 2 = 100 . The phase angle between voltage and current follows from the relation = X_L R . With R = 200 and X_L = 100 , this yields = 100 200 = 0.5 . The phase angle is therefore = ⁻¹(0.5) , corresponding to option D. Final Answer: D