LC Tank Circuit Resonance Calculator

LC Tank Circuit Resonance Calculator

LC Tank Circuit Resonance Calculator

About LC Tank Circuit Resonance Calculator

LC Tank Circuit Resonance
An LC tank circuit, consisting of an inductor (L) and a capacitor (C) connected in parallel, is fundamental in electronics for creating oscillators and filters. At resonance, the circuit oscillates at its natural frequency due to the continuous exchange of energy between the inductor and capacitor.

Formula

\( f = \frac{1}{2\pi\sqrt{LC}} \)

Where:

  • \( f \): Resonance frequency in Hertz (Hz)
  • \( L \): Inductance in Henrys (H)
  • \( C \): Capacitance in Farads (F)

Example Calculations

Example 1:

  • Inductance (L): 2500 µH
  • Capacitance (C): 1000 nF

Using the formula:

\( f = \frac{1}{2\pi\sqrt{0.0025 \times 0.000001}} \approx 3183.10 \text{ Hz} \)

Therefore, the resonance frequency is approximately 3183.10 Hz.

Example 2:

  • Inductance (L): 100 µH
  • Capacitance (C): 10 nF

Using the formula:

\( f = \frac{1}{2\pi\sqrt{0.0001 \times 0.00000001}} \approx 5026.55 \text{ Hz} \)

Therefore, the resonance frequency is approximately 5026.55 Hz.