How long will a lc tank circuit oscillate after power is removed?

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SUMMARY

The discussion focuses on determining the oscillation duration of an LC resonant tank circuit after power removal. Given parameters include an inductance (L) of 1 henry, a resistance of 500 ohms, and a capacitance (C) of 50 picofarads, resulting in a resonant frequency (Fres) of 22,507 Hz. The oscillation decays exponentially, with the time constant calculated as 2Q/frequency, where Q is the quality factor derived from circuit losses. The quality factor can be calculated using the specified resistance as the only dissipative loss in the ideal circuit.

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hobbs125
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If a lc resonant tank circuit is disconnected from power how do you determine the length of time it will oscillate.

L=1 henry, 500 ohms
C=50pf
Fres=22,507 hz
 
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It will decay exponentially. Usually you specify the time it takes to reach a certain ratio of the maximum (usually 1/e or about 36%), since mathematically the amplitude of oscillations will never reach zero.
 
Ok, so how would I calculate that?
 
The time constant is 2Q/frequency; where Q is the quality factor of the circuit.
In order to calculate Q you need to know the losses in the circuit; if the above values are for an ideal circuit (meaning the 500 ohms are the only dissipate losses in the circuit) them you can calculate Q from them (google Q factor)
 
Awesome, thank you.
 

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