Question
Jan Villaroel
Topic: Electronics Engineering Posted 1 year ago
You have an LC circuit with an inductance of 0.5 H and a capacitance of 100μF. Calculate the resonant frequency (f) of the LC circuit.

You have an LC circuit with an inductance of 0.5 H and a capacitance of 100μF. Calculate the resonant frequency (f) of the LC circuit.


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Koala Tutor
Oct 3, 2023
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The resonant frequency (f) of an LC circuit can be calculated using the formula:

f = 1 / (2π√(LC))

Given:
Inductance (L) = 0.5 H
Capacitance (C) = 100μF = 100 × 10^(-6) F

Substituting these values in the formula, we get:

f = 1 / (2π√(0.5 × 100 × 10^(-6)))
≈ 1 / (2π√(0.05 × 10^(-4)))
≈ 1 / (2π√(5 × 10^(-6)))
≈ 1 / (2π√(5) × √(10^(-6)))
≈ 1 / (2π × 2.236 × 10^(-3))
≈ 1 / (4π × 2.236 × 10^(0))
≈ 1 / (8π.89)
≈ 0.00358 Hz

Therefore, the resonant frequency (f) of the LC circuit is approximately 0.00358 Hz.

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