MHT CET202525 Apr 2025Evening ShiftPhysicsAlternating CurrentActual
In an L R circuit, the value of L is ( 0 3 ) henry and the value of R is 40 , If in the circuit, an alternating e.m.f of 230 V at 50 cycles per second is connected, the impedance of the circuit and current will be respectively
Options
- A12.5 , 9.2 ~A
- B46.4 , 6.4 ~A
- C23.2 , 5 ~A
- D50 , 4.6 ~A
Correct answer
D. 50 , 4.6 ~A
Step-by-step solution
Impedance and current calculation for LR circuit: Given L = 0.3 H, R = 40 , , V_ rms = 230 V, and f = 50 Hz. The angular frequency is = 2 f = 100 rad/s. The inductive reactance becomes X_L = L = 100 0.3 = 30 , . The circuit impedance is Z = R^2 + X_L^2 = 40^2 + 30^2 = 2500 = 50 , . Applying Ohm's law yields the current I = V_ rms Z = 230 50 = 4.6 A. These results correspond to option D .