General Physics
. A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.
1 Answer
Saurabh Koranglekar
Given data:
Inductance, L = 44 mH = 44 × 10⁻³ H
Voltage, V = 220 V
Frequency, f = 50 Hz
Step 1: Calculate the inductive reactance (X_L)
Inductive reactance is given by the formula:
X_L = 2πfL
Substituting the values:
X_L = 2 × 3.1416 × 50 × (44 × 10⁻³)
X_L = 13.82 Ω
Step 2: Calculate the rms current (I_rms)
Using Ohm’s law for AC circuits:
I_rms = V_rms / X_L
I_rms = 220 / 13.82
I_rms ≈ 15.92 A
Final Answer: The rms value of the current in the circuit is approximately 15.92 A.
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