An inductor of 0 . 5 mH , a capacitor of 200 μF and a resistor of 2 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ______ × 10 2 Hz .

Step-by-step solution

Given here: L = 0 . 5 × 10 - 3   H C = 200 × 10 - 6   F R = 2   Ω . If current is in phase with emf, so this is the condition of resonance. f = f R = 1 2 π L C = 1 2 × 3 . 14 L C f = 1 6 . 28 0 . 5 × 10 - 3 × 200 × 10 - 6 = 503 . 55   Hz = 5 . 03 × 10 2   Hz