Practice question
Question
A 55 mH inductor is connected to a 230 V, 50 Hz AC source. What is the rms current?
Explanation
Given:
A 55 mH inductor is connected to a 230 V, 50 Hz AC source. What is the rms current?
These values define the system as per NCERT data.
Formula:
X_L = omega L, omega = 2π × 50 = 314 rad/s.
This is standard NCERT relation.
Substitution & Calculation:
L = 55 × 10⁻³H . X_L = 314 × 0.055 = 17.27 Ω . RMS current: I = V/X_L = 230/17.27 approx 13.32 A .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
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