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About This Tool
Parallel and series inductor-capacitor (LC) tank circuits exhibit electrical resonance where inductive reactance balances capacitive reactance, establishing selective bandpass filtering characterized by the quality factor (Q). In this tuned circuit evaluation utility, electrical tank parameters are modeled with three inputs: an inductive reactance baseline ($V_1$), a capacitive resonance multiplier ($V_2$), and an equivalent series damping loss divisor ($V_3$).
The algorithm evaluates the primary resonant tank metric ($[V_1 imes V_2] / max(0.01, V_3)$), the geometric reactive impedance factor ($sqrt{max(0, V_1 imes V_2)}$), and the relative energy storage selectivity ratio ($[V_1 / (V_1 + V_2)] imes 100$).
### Distinct Worked Calculation Evaluating a high-Q RF preselector bandpass filter: - Inductive Reactance Factor ($V_1$): 52 - Capacitive Multiplier ($V_2$): 26 - Series Damping Divisor ($V_3$): 4
Step-by-step results: - Primary Tank Metric: $(52 imes 26) / 4 = 1352 / 4 = 338.00$ - Reactive Impedance Root: $sqrt{52 imes 26} = sqrt{1352} approx 36.77$ - Selectivity Proportion: $[52 / (52 + 26)] imes 100 = (52 / 78) imes 100 approx 66.67%$
### Client-Side RF Circuit Modeling All resonant tank formulas evaluate exclusively in your local browser JavaScript engine. Inductance values in microhenries, capacitance in picofarads, and resonance frequencies are processed with zero remote logging.
How to Use
- 1
Enter your inductive reactance factor into the primary input box.
- 2
Specify the capacitive resonance multiplier in the second input field.
- 3
Input the series resistance loss divisor into the third box.
- 4
Inspect the computed primary tank metric, reactive impedance root, and selectivity percentage.
Frequently Asked Questions
What does quality factor (Q) represent in an LC circuit?
Quality factor Q quantifies the ratio of stored reactive energy to energy dissipated per cycle; higher Q yields narrower filter bandwidth and sharper selectivity.
What occurs at the exact resonant frequency of an ideal parallel LC tank?
At resonance, inductive and capacitive reactances cancel, creating a theoretical infinite parallel impedance that rejects off-frequency signals.
Are electrical circuit designs sent to cloud servers?
No. Tank circuit reactance calculations occur entirely in client storage.