The natural frequencies of a circuit are the values of complex frequency s that characterize the circuit’s zero-input response. Specifically, if a voltage or current in the circuit has a zero-input response of the form \( {k}_1{e}^{s_1t}+{k}_2{e}^{s_2t}+{k}_3{e}^{s_3t}+\dots \) where ki are non-zero constant determined by the initial conditions, then that values of si are the natural frequencies of the circuit.

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Natural Frequencies

  • Farzin Asadi

摘要

The natural frequencies of a circuit are the values of complex frequency s that characterize the circuit’s zero-input response. Specifically, if a voltage or current in the circuit has a zero-input response of the form \( {k}_1{e}^{s_1t}+{k}_2{e}^{s_2t}+{k}_3{e}^{s_3t}+\dots \) where ki are non-zero constant determined by the initial conditions, then that values of si are the natural frequencies of the circuit.