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LC resonance
Resonant frequency and characteristic impedance of an ideal LC circuit.
HB3YAQ · Ajdin HadzicLearning to take awayhttps://hb3yaq.ch/en/tools/lc-resonance
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Formula & context
f₀ = 1/(2π√LC); Zc = √(L/C)
At resonance, inductive and capacitive reactance magnitudes are equal. Whether the circuit presents low or high impedance depends on series or parallel connection.
A worked example
1 µH and 100 pF give approximately 15.915 MHz and a characteristic impedance of 100 Ω.
Assumptions & limits
Ideal components. Winding capacitance, ESR, core loss and lead inductance shift actual resonance and limit Q.
Inductors, capacitors and resonanceUnderstand the reasoning →From reading to experimenting
LC resonance
1 µH and 100 pF give approximately 15.915 MHz and a characteristic impedance of 100 Ω.
Open example with starting values →Inductance: 1 µH · Capacitance: 100 pFBack to the learning article →Then change exactly one value. Compare the result and use the formula to explain why it changes. The model limits below the calculator also apply here.