Question

the self-inductance and capacitance of an lc circuit are 0.20 mh and 5.0 pf. what is the angular frequency at which the circuit oscillates?

Answer 1

The angular frequency at which the circuit oscillates is 3.16 x 10⁷ rad/s.

What is the angular frequency of the circuit?

The angular frequency of the circuit is calculated by applying the following equation  as shown below.

Angular frequency is the measure of angular displacement with time, with a unit of revolution per minute or radian per second.

Xl = Xc

where;

• Xl is the inductive reactance
• Xc is the capacitive reactance

ωL = 1/ωC

ω²LC = 1

ω² = 1/LC

ω = √(1/LC)

where;

• L is the self-inductance
• C is the capacitance

The given parameters;

• capacitance of the circuit, C = 5 pF
• self-inductance, L = 0.2 mH

The angular frequency at which the circuit oscillates is calculated as;

ω = √(1/(0.2 x 10⁻³ x 5 x 10⁻¹²)

ω = 3.16 x 10⁷ rad/s

Thus, the angular frequency at which the circuit oscillates depends on the self-inductance, and capacitance of the circuit.

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