In an LC circuit, the values of L and C are 5.0 × 10^-2 H and 5.0 × 10^-6 F, respectively. At t = 0 all of the energy is stored in the capacitor. Then the angular frequency of the LC oscillations in the circuit (in radians/s) is:

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Answer 1

Concept:

LC oscillation:

An LC circuit is a type of electric circuit that is made up of an inductor which is expressed by the letter L, and a capacitor, represented by the letter C.
The electric current and the charge on the capacitor in the circuit undergo electrical LC oscillations when a charged capacitor is connected to an inductor.

F1 Madhuri Defence 23.12.2022 D14

LC circuit is also known as a tank circuit, a resonant circuit, or a tuned circuit.
The angular frequency of the LC oscillation, $ω = \frac{1}{\sqrt{L C}}$
Here, angular frequency, ω = 2πf where , f = linear frequency

Calculation:

Given,

The capacitance of the capacitor, C = 5.0 × 10-6 F

The inductance of the inductor, L = 5.0 × 10-2 H

The angular frequency of the LC oscillation in the circuit,

$ω = \frac{1}{\sqrt{L C}}$

$ω = \frac{1}{\sqrt{5 \times 10^{- 2} \times 5 \times 10^{- 6}}} = 2 \times 10^{3} r a d / s$

Hence, the angular frequency of the LC oscillations in the circuit (in radians/s) is: 2.0 × 103