Question

An inductor of 0.5 mH, a capacitor of 200 µF, and a resistor of 2Ω are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be ______ × 10² Hz.

Options

• 2

• 3

• 4

• 5

Answer 1

An inductor of 0.5 mH, a capacitor of 200 µF, and a resistor of 2Ω are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of the ac source will be 5 × 10² Hz.

Explanation:

Frequency, `f = 1/(2pisqrt(LC))`

where, L = Inductance, C = Capacitance

`f = 1/(2 xx 3.14sqrt(0.5 xx 10^-3 xx 200 xx 10^-6))`

`f = 1/(2 xx 3.14) xx 10^4/sqrt10`

f = 5.03 × 10² Hz

f ≈ 5.0 × 10² Hz

As a result, the correct answer is 5.