Practice question
Question
A 12 μF capacitor is connected to a 220 V, 50 Hz AC source. What is the rms current?
Explanation
Given:
A 12 μF capacitor is connected to a 220 V, 50 Hz AC source. What is the rms current?
Formula:
X_C = 1/omega C, omega = 2π × 50 = 314 rad/s.
Substitution & Calculation:
C = 12 × 10⁻⁶F . X_C = frac1314 × 12 × 10⁻⁶approx 265.3 Ω . RMS current: I = V/X_C = 220/265.3 approx 0.83 A .
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
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