Alternating CurrentMedium
Question
An ac circuit contains a resistance of $1k\Omega$, a capacitor of $0.1\mu\text{ }F$ and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately:
Options
A.13.5 kHz
B.10.1 kHz
C.20.7 kHz
D.15.9 kHz
Solution
Sol. [Key Concept: Series LCR — impedance and resonance] Resonance frequency
$$\begin{matrix} & f_{0} = \frac{1}{2\pi\sqrt{LC}} \\ & \ = \frac{1}{2\pi\sqrt{1 \times 10^{- 7} \times 10^{- 3}}} \\ & \ = 15.9kHz \end{matrix}$$
Create a free account to view solution
View Solution FreeMore Alternating Current Questions
The core of any transformer is laminated so as to...Impedance of the following circuit will be :...The potential difference V and current I flowing through the AC circuit is given by V = 5 cos(ωt - π/6) volt a...A broad metal plate is connected to earth through a conducting wire as shown. An electron flies with constant velocity a...A 110 V, 60 W lamp is run from a 220 V AC mains using a capacitor in series with the lamp, instead of a resistor then th...